# zbMATH — the first resource for mathematics

## IEEE Transactions on Circuits and Systems

### A Publication of the IEEE Circuits and Systems Society

 Short Title: IEEE Trans. Circuits Syst. Publisher: The Institute of Electrical and Electronics Engineers (IEEE), New York, NY ISSN: 0098-4094 Online: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=31 Predecessor: IEEE Transactions on Circuit Theory Successor: IEEE Transactions on Circuits and Systems. I: Fundamental Theory and ApplicationsIEEE Transactions on Circuits and Systems. II: Analog and Digital Signal Processing Comments: No longer indexed
 Documents Indexed: 959 Publications (1976–1991)
all top 5

#### Latest Issues

 38, No. 12 (1991) 38, No. 11 (1991) 38, No. 10 (1991) 38, No. 9 (1991) 38, No. 8 (1991) 38, No. 7 (1991) 38, No. 6 (1991) 38, No. 5 (1991) 38, No. 4 (1991) 38, No. 3 (1991) 38, No. 2 (1991) 38, No. 1 (1991) 37, No. 12 (1990) 37, No. 11 (1990) 37, No. 10 (1990) 37, No. 9 (1990) 37, No. 8 (1990) 37, No. 7 (1990) 37, No. 6 (1990) 37, No. 5 (1990) 37, No. 4 (1990) 37, No. 3 (1990) 37, No. 2 (1990) 37, No. 1 (1990) 36, No. 12 (1989) 36, No. 11 (1989) 36, No. 9 (1989) 36, No. 8 (1989) 36, No. 6 (1989) 36, No. 5 (1989) 36, No. 4 (1989) 36, No. 3 (1989) 36, No. 2 (1989) 36, No. 1 (1989) 35, No. 12 (1988) 35, No. 11 (1988) 35, No. 10 (1988) 35, No. 9 (1988) 35, No. 8 (1988) 35, No. 7 (1988) 35, No. 6 (1988) 35, No. 5 (1988) 35, No. 4 (1988) 35, No. 3 (1988) 35, No. 2 (1988) 35, No. 1 (1988) 34 (1987) 33 (1986) 32 (1985) 31 (1984) 30 (1983) 29 (1982) 28 (1981) 27 (1980) 26 (1979) 25 (1978) 24 (1977) 23 (1976)
all top 5

#### Authors

 60 Chua, Leon Ong 24 Michel, Anthony N. 17 Anderson, Brian David Outram 15 Swamy, M. N. S. 14 Chen, Wai-Kai 14 Sandberg, Irwin W. 13 Matsumoto, Takashi 12 Bose, Nirmal K. 11 Desoer, Charles A. 10 Wu, Felix F. 10 Wyatt, John L. jun. 10 Zemanian, Armen H. 9 Basu, Sankar 9 Jury, Eliahu I. 9 Miller, Richard K. 9 Mitra, Sanjit K. 9 Zeheb, Ezra 8 Bandler, John W. 8 Green, Douglas N. 8 Kailath, Thomas 8 Thulasiraman, Krishnaiyan 8 Vandewalle, Joos P. 7 Delsarte, Philippe 7 Fettweis, Alfred Leo Maria 7 Kuh, Ernest Shiu-jen 7 Mansour, Mahomed 7 Vidyasagar, Mathukumalli 7 Weinberg, Louis 7 Youla, Dante C. 6 Aggarwal, Jake K. 6 Callier, Frank M. 6 Genin, Yves V. 6 Hasler, Martin J. 6 Singh, Vimal Pratap 6 Varaiya, Pravin Pratap 6 Willson, Alan N. jun. 5 Dewilde, Patrick M. 5 Hinamoto, Takao 5 Kajitani, Yoji 5 Kamp, Yves G. 5 Kodama, Shinzo 5 Lin, Pen-Min 5 Mecklenbräuker, Wolfgang F. G. 5 Narasimhamurthi, Natarajan 5 Porter, William A. 5 Saeks, Richard E. 5 Saito, Toshimichi 5 Salam, Fathi M. Abdel 5 Sastry, S. Shankar 5 Shenoi, B. A. 5 Skelboe, Stig 5 Vaidyanathan, Palghat P. 5 Vlach, Jiri 4 Agathoklis, Panajotis 4 Antoniou, Andreas 4 Aravena, Jorge L. 4 Brayton, Robert K. 4 Chiang, Hsiao-Dong 4 Chien, Ming-Jeh 4 Director, Stephen W. 4 Fornasini, Ettore 4 Hajj, Ibrahim N. 4 Ichiraku, Shigeo 4 Inouye, Yujiro 4 Jayakumar, R. 4 Kraus, František J. 4 Lee, E. Bruce 4 Leon, Benjamin J. 4 Maeda, Hajime 4 Neirynck, Jacques 4 Nishi, Tetsuo 4 Orchard, H. J. 4 Parker, Sydney R. 4 Porod, Wolfgang 4 Starzyk, Janusz A. 4 Visvanathan, V. 4 Walach, Eugene 3 Barnes, Casper W. 3 Bass, Steven C. 3 Belal, Ahmed A. 3 Bisiacco, Mauro 3 Bistritz, Yuval 3 Boyd, Stephen Poythress 3 Cederbaum, Israel 3 Chan, Shu-Park 3 Claasen, Theo A. C. M. 3 Dasgupta, Soura 3 Davis, Artice M. 3 El-Turky, Fatehy M. 3 Fahmy, Moustafa M. 3 Fairman, Frederick W. 3 Fernando, K. Vincenza 3 Fialkow, Aaron D. 3 Gannett, Joel W. 3 Gnanasekaran, R. 3 Göknar, Izzet Cem 3 Hachtel, Gary D. 3 Hamada, Nozomu 3 Hill, David John 3 Huertas, Jose L. ...and 883 more Authors
all top 5

#### Fields

 504 Information and communication theory, circuits (94-XX) 403 Systems theory; control (93-XX) 90 Ordinary differential equations (34-XX) 85 Numerical analysis (65-XX) 63 Computer science (68-XX) 56 Combinatorics (05-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 46 Functions of a complex variable (30-XX) 38 Dynamical systems and ergodic theory (37-XX) 36 Operations research, mathematical programming (90-XX) 35 Approximations and expansions (41-XX) 31 Mechanics of particles and systems (70-XX) 26 Statistics (62-XX) 17 Probability theory and stochastic processes (60-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 13 Operator theory (47-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Real functions (26-XX) 10 Biology and other natural sciences (92-XX) 9 Integral equations (45-XX) 6 Difference and functional equations (39-XX) 6 Functional analysis (46-XX) 5 History and biography (01-XX) 5 Special functions (33-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Manifolds and cell complexes (57-XX) 5 Optics, electromagnetic theory (78-XX) 4 Commutative algebra (13-XX) 4 Partial differential equations (35-XX) 4 Integral transforms, operational calculus (44-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

622 Publications have been cited 5,841 times in 4,618 Documents Cited by Year
Cellular neural networks: Theory. Zbl 0663.94022
Chua, Leon O.; Yang, Lin
1988
The double scroll family. Zbl 0634.58015
Chua, Leon O.; Komuro, Motomasa; Matsumoto, Takashi
1986
Kronecker products and matrix calculus in system theory. Zbl 0397.93009
Brewer, John W.
1978
$$L_\infty$$-stability criteria for interconnected systems using exponential weighting. Zbl 0407.93037
Vidyasagar, M.
1978
A calculus for computing Filippov’s differential inclusion with application to the variable structure control of robot manipulators. Zbl 0632.34005
1987
A chaotic attractor from Chua’s circuit. Zbl 0551.94020
Matsumoto, T.
1984
The double scroll. Zbl 0578.94023
Matsumoto, Takashi; Chua, Leon O.; Komuro, Motomasa
1985
Fading memory and the problem of approximating nonlinear operators with Volterra series. Zbl 0587.93028
Boyd, Stephen; Chua, Leon O.
1985
Synthesis of minimum roundoff noise fixed point digital filters. Zbl 0342.93066
Mullis, Clifford T.; Roberts, Richard A.
1976
The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems. Zbl 0438.93035
Mees, Alistair I.; Chua, Leon O.
1979
Canonical realization of Chua’s circuit family. Zbl 0706.94026
Chua, Leon O.; Lin, Gui-Nian
1990
Orthogonal polynomial matrices on the unit circle. Zbl 0408.15018
Delsarte, Philippe; Genin, Yves V.; Kamp, Yves G.
1978
Notes on $$n$$-dimensional system theory. Zbl 0394.93004
Youla, Dante C.; Gnavi, G.
1979
An algebra of transfer functions for distributed linear time-invariant systems. Zbl 0418.93037
Callier, F. M.; Desoer, C. A.
1978
Bifurcation of periodic responses in forced dynamic nonlinear circuits: computation of bifurcation values of the system parameters. Zbl 0548.94035
Kawakami, Hiroshi
1984
Qualitative analysis of neural networks. Zbl 0672.94015
Michel, Anthony N.; Farrell, Jay A.; Porod, Wolfgang
1989
Stability analysis of 2-D systems. Zbl 0458.93044
Fornasini, Ettore; Marchesini, Giovanni
1980
An algebraic approach to nonlinear functional expansions. Zbl 0529.34002
Fliess, Michel; Lamnabhi, Moustanir; Lamnabhi-Lagarrigue, Francoise
1983
Constructive stability and asymptotic stability of dynamical systems. Zbl 0458.93047
Brayton, Robert K.; Tong, C. H.
1980
Stability of dynamical systems: A constructive approach. Zbl 0413.93048
Brayton, Robert K.; Tong, Christopher H.
1979
Stability and the matrix Lyapunov equation for discrete 2-dimensional systems. Zbl 0588.93052
Anderson, Brian D. O.; Agathoklis, Panajotis; Jury, E. I.; Mansour, M.
1986
Jump behavior of circuits and systems. Zbl 0476.93036
Sastry, S. Shankar; Desoer, Charles A.
1981
Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle. Zbl 0417.93018
Youla, D. C.; Kazanjian, N. N.
1978
Indeterminacy and identifiability of blind identification. Zbl 0737.93016
Tong, Lang; Liu, Rueywen; Soon, Victor C.; Huang, Yih-Fang
1991
Generalized sampling expansion. Zbl 0377.42006
Papoulis, Athanasios
1977
High-order absolutely stable neural networks. Zbl 0712.92002
Dembo, Amir; Farotimi, Oluseyi; Kailath, Thomas
1991
On the mathematical foundations of compartmental analysis in biology, medicine, and ecology. Zbl 0377.93034
Sandberg, Irwin W.
1978
The Quillen-Suslin theorem and the structure of $$n$$-dimensional elementary polynomial matrices. Zbl 0553.13003
Youla, D. C.; Pickel, P. F.
1984
An introduction to the application of the simplest matrix-generalized inverse in systems science. Zbl 0386.93021
Lovass-Nagy, Victor; Miller, Richard J.; Powers, David L.
1978
Stability theory for differential/algebraic systems with application to power systems. Zbl 0717.93044
Hill, David J.; Mareels, Iven M. Y.
1990
Some stability properties of two-dimensional linear shiftinvariant digital filters. Zbl 0382.93063
Goodman, Dennis
1977
Reliable circulant networks with minimum transmission delay. Zbl 0583.94018
Boesch, Francis T.; Wang, Jhing-Fa
1985
Generalized image restoration by the method of alternating orthogonal projections. Zbl 0392.93032
Youla, Dante C.
1978
Realization theory of discrete-time nonlinear systems. I: The bounded case. Zbl 0409.93014
Sontag, Eduardo D.
1979
Qualitative analysis and synthesis of a class of neural networks. Zbl 0664.34042
Li, Jian Hua; Michel, Anthony N.; Porod, Wolfgang
1988
An application of graph coloring to printed circuit testing. Zbl 0342.94021
Garey, Michael R.; Johnson, David Stifler; So, Hing C.
1976
An approach toward higher dimensional hysteresis chaos generators. Zbl 0704.94028
Saito, Toshimichi
1990
On a generalized Szegö-Levinson realization algorithm for optimal linear predictors based on a network synthesis approach. Zbl 0401.93041
Dewilde, Patrick; Vieira, Augusto C.; Kailath, Thomas
1978
An application of rationalized Haar functions to solution of linear differential equations. Zbl 0613.65072
Ohkita, Masaaki; Kobayashi, Yasuhiro
1986
Analysis and synthesis of a class of neural networks: Linear systems operating on a closed hypercube. Zbl 0689.94004
Li, Jian-Hua; Michel, Anthony N.; Porod, Wolfgang
1989
Approximation of 2-D separable in denominator filters. Zbl 0504.94006
Lashgari, Bijan; Silverman, Leonard M.; Abramatic, Jean-Francois
1983
Normal forms for nonlinear vector fields. I: Theory and algorithm. Zbl 0683.58021
Chua, Leon O.; Kokubu, Hiroshi
1988
The complexity of some edge deletion problems. Zbl 0654.68084
El-Mallah, Ehab S.; Colbourn, Charles J.
1988
Polynomial matrix primitive factorization over arbitrary coefficient field and related results. Zbl 0504.65020
Guiver, John P.; Bose, N. K.
1982
Simplifications and clarifications on the paper ”An algebra of transfer functions for distributed linear time-invariant systems”. Zbl 0446.93026
Callier, Frank M.; Desoer, Charles A.
1980
Chaos via torus breakdown. Zbl 0637.94019
Matsumoto, Takashi; Chua, Leon O.; Tokunaga, Ryuji
1987
Robust strict positive realness: Characterization and construction. Zbl 0713.93048
Anderson, Brian D. O.; Dasgupta, Soura; Khargonekar, Pramod; Kraus, Frantisek J.; Mansour, Mohamed
1990
On the determination of the Smith-Macmillan form of a rational matrix from its Laurent expansion. Zbl 0395.93016
van Dooren, Paul M.; Dewilde, Patrick; Vandewalle, Joos
1979
One-dimensional logic gate assignment and interval graphs. Zbl 0414.94052
Ohtsuki, Tatsuo; Mori, Hajimu; Kuh, Ernest S.; Kashiwabara, Toshinobu; Fujisawa, Toshio
1979
The zero-input response of digital filters using saturation arithmetic. Zbl 0425.93045
Sandberg, Irwin W.
1979
A multilevel Newton algorithm with macromodeling and latency for the analysis of large-scale nonlinear circuits in the time domain. Zbl 0421.94020
Rabbat, N. B. Guy; Sangiovanni-Vincentelli, Alberto L.; Hsieh, Hsueh Y.
1979
A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds. Zbl 0659.93013
Opdenacker, Phillipe C.; Jonckheere, Edmond A.
1988
Device modeling via basic nonlinear circuit elements. Zbl 0466.94031
Chua, Leon O.
1980
Asymptotic behavior of nonlinear compartmental systems: Nonoscillation and stability. Zbl 0382.93041
Maeda, Hajime; Kodama, Shinzo; Ohta, Yuzo
1978
Stability analysis for two-dimensional systems via a Lyapunov approach. Zbl 0556.93050
Lu, Wusheng; Lee, E. Bruce
1985
State and output feedback stabilizability of 2-D systems. Zbl 0583.93047
Bisiacco, Mauro
1985
Normal forms for nonlinear vector fields. II: Applications. Zbl 0702.58047
Chua, Leon O.; Kokubu, Hiroshi
1989
Generalized Bezoutians and families of efficient zero-location procedures. Zbl 0729.30006
Lev-Ari, Hanoch; Bistritz, Yuval; Kailath, Thomas
1991
Mode analysis of a ring of a large number of mutually coupled van der Pol oscillators. Zbl 0376.93019
Endo, Tetsuro; Mori, Shinsaku
1978
On matrix fraction descriptions of multivariable linear n-D systems. Zbl 0662.93036
Lin, Zhiping
1988
Positive realization of difference equations. Zbl 0469.93035
Maeda, Hajime; Kodama, Shinzo
1981
Chaotic motions in the two-degree-of-freedom swing equations. Zbl 0506.93029
Kopell, Nancy; Washburn, Robert B. jun.
1982
Theoretical and computational aspects of the optimal design centering, tolerancing, and tuning problem. Zbl 0425.90084
Polak, Elijah; Sangiovanni-Vincentelli, Alberto
1979
Dynamics of the van der Pol equation. Zbl 0451.34045
Guckenheimer, John
1980
Static bifurcations in electric power networks: loss of steady-state stability and voltage collapse. Zbl 0621.94024
Kwatny, Harry G.; Pasrija, Arun K.; Bahar, Leon Y.
1986
Foundations of direct methods for power system transient stability analysis. Zbl 0637.93048
Chiang, Hsiao-Dong; Wu, Felix F.; Varaiya, Pravin P.
1987
On the f-coloring of multigraphs. Zbl 0638.05024
Nakano, Shin-Ichi; Nishizeki, Takao; Saito, Nobuji
1988
Graph theoretic reliability analysis for the Boolean $$n$$ cube networks. Zbl 0656.94027
Yang, C. S.; Wang, J. F.; Lee, J. Y.; Boesch, F. T.
1988
Dynamics of the forced Josephson junction circuit: The regions of chaos. Zbl 0588.58058
Salam, Fathi M. A.; Sastry, S. Shankar
1985
Compartmental system analysis: Realization of a class of linear systems with physical constraints. Zbl 0351.93005
Maeda, Hajime; Kodama, Shinzo; Kajiya, Fumihiko
1977
The stabilizability problem: A Hilbert space operator decomposition approach. Zbl 0402.93036
Levan, Nhan
1978
Normal forms near critical points for differential equations and maps. Zbl 0702.34033
Ashkenazi, Max; Chow, Shui-Nee
1988
Dynamic nonlinear networks: State-of-the-art. Zbl 0467.93031
Chua, Leon O.
1980
Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems. Zbl 0533.58021
Young, Lai-sang
1983
The mathematical foundations of associated expansions for mildly nonlinear systems. Zbl 0664.93033
Sandberg, Irwin W.
1983
A generalized canonical piecewise-linear representation. Zbl 0704.94026
Kahlert, Claus; Chua, Leon O
1990
BIBO stability of inverse 2-D digital filters in the presence of nonessential singularities of the second kind. Zbl 0672.94026
Lin, Zhiping; Bruton, Leonard T.
1989
A note on the modified stability table for linear discrete time systems. Zbl 0753.93058
Jury, E. I.
1991
The effect of integrator leak in $$\sigma$$-$$\Delta$$ modulation. Zbl 0739.94005
Feely, Orla; Chua, Leon O.
1991
Reality of chaos in the double scroll circuit: A computer-assisted proof. Zbl 0661.58019
Matsumoto, Takashi; Chua, Leon O.; Ayaki, Kenichiro
1988
Necessary and sufficient conditions for robust stability of a continuous system - the continuous dependency case illustrated via multilinear dependency. Zbl 0707.93058
Zeheb, Ezra
1990
Chaotic motion in nonlinear feedback systems. Zbl 0499.93025
Baillieul, J.; Brockett, Roger W.; Washburn, Robert B.
1980
Canonical piecewise-linear analysis. Zbl 0504.94033
Chua, Leon O.; Ying, Robin L. P.
1983
A graph-theoretic via minimization algorithm for two-layer printed circuit boards. Zbl 0505.94031
Chen, Ruen-Wu; Kajitani, Yoji; Chan, Shu-Park
1983
Geodetic connectivity of graphs. Zbl 0344.05137
Entringer, Roger C.; Jackson, Douglas E.; Slater, Peter J.
1977
Canonical piecewise-linear representation. Zbl 0644.94023
Chua, Leon O.; Deng, An-Chang
1988
Generalized Schwarz form and lattice-ladder realizations of digital filters. Zbl 0579.94024
Kimura, Hidenori
1985
A synthesis procedure for Hopfield’s continuous-time associative memory. Zbl 0715.94021
Farrell, Jay A.; Michel, Anthony N.
1990
State-space realization and inversion of 2-D systems. Zbl 0455.93014
Eising, Rikus
1980
The zero module and essential inverse systems. Zbl 0474.93023
Wyman, Bostwick F.; Sain, Michael K.
1981
Singular perturbations and time scales in nonlinear models of power systems. Zbl 0496.93035
Peponides, George; Kokotovic, Petar V.; Chow, Joe Hong
1982
Measuring Volterra kernels. Zbl 0518.93058
Boyd, Stephen; Tang, Y. S.; Chua, Leon O.
1983
Realizations of a state-space model from two-dimensional input-output map. Zbl 0443.93015
Hinamoto, Takao
1980
Tests of stability of multidimensional filters. Zbl 0367.94060
Strintzis, Michael G.
1977
On the use of right-coprime factorizations in distributed feedback systems containing unstable subsystems. Zbl 0405.93024
Vidyasagar, Mathukumal
1978
On the cross-Gramian for symmetric MIMO systems. Zbl 0558.93050
Fernando, K. V.; Nicholson, H.
1985
Arnold diffusion in the swing equations of a power system. Zbl 0561.58013
Salam, Fathi M. A.; Marsden, Jerrold E.; Varaiya, Pravin P.
1984
Computer generated Lyapunov functions for interconnected systems: Improved results with applications to power systems. Zbl 0542.93050
Michel, Anthony N.; Nam, B. H.; Vittal, Vijay
1984
Broadbanding: Gain equalization directly from data. Zbl 0481.94001
Helton, J. William
1981
Algorithms for computing almost periodic steady-state response of nonlinear systems to multiple input frequencies. Zbl 0484.93027
Chua, Leon O.; Ushida, Akio
1981
Indeterminacy and identifiability of blind identification. Zbl 0737.93016
Tong, Lang; Liu, Rueywen; Soon, Victor C.; Huang, Yih-Fang
1991
High-order absolutely stable neural networks. Zbl 0712.92002
Dembo, Amir; Farotimi, Oluseyi; Kailath, Thomas
1991
Generalized Bezoutians and families of efficient zero-location procedures. Zbl 0729.30006
Lev-Ari, Hanoch; Bistritz, Yuval; Kailath, Thomas
1991
A note on the modified stability table for linear discrete time systems. Zbl 0753.93058
Jury, E. I.
1991
The effect of integrator leak in $$\sigma$$-$$\Delta$$ modulation. Zbl 0739.94005
Feely, Orla; Chua, Leon O.
1991
Reality of chaos in four-dimensional hysteretic circuits. Zbl 0741.94021
Saito, Toshimichi
1991
On a class of nonsymmetrical neural networks with application to ADC. Zbl 0709.68621
Avitabile, G.; Forti, M.; Manetti, S.; Marini, M.
1991
Frequency domain conditions for the robust stability of linear and nonlinear dynamical systems. Zbl 0759.93061
Dasgupta, Soura; Parker, Philip J.; Anderson, Brian D. O.; Kraus, F. J.; Mansour, M.
1991
On the analysis of dynamic feedback neural nets. Zbl 0825.68516
Salam, Fathi M. A.; Wang, Yiwen; Choi, Myung-Ryul
1991
A canonical representation for piecewise-affine maps and its applications to circuit analysis. Zbl 0739.94019
Güzeliş, Cüneyt; Göknar, Izzet Cem
1991
Counterexample and correction to a recent result on robust stability of a diamond of complex polynomials. Zbl 0751.30005
Kang, H. I.; Barmish, B. R.; Tempo, R.; Hollot, C. V.
1991
A learning and forgetting algorithm in associative memories: Results involving pseudo-inverses. Zbl 0738.68067
Yen, Gune; Michel, Anthony N.
1991
An analytic method for designing simple cellular neural networks. Zbl 0739.94018
Chua, Leon O.; Thiran, Patrick
1991
On the largest modulus of polynomial zeros. Zbl 0743.30011
Zeheb, Ezra
1991
New results on stable multidimensional polynomials. III: State space interpretations. Zbl 0753.93066
Basu, Sankar
1991
Exponential stability and trajectory bounds of neural networks under structural variations. Zbl 0738.93057
Grujić, Ljubomir T.; Michel, Anthony N.
1991
Partial fraction expansion without derivative evaluation. Zbl 0747.65007
Westreich, David
1991
Stability tests for 2-D systems using the Schwarz form and the inners determinants. Zbl 0752.93052
Kanellakis, A.; Tzafestas, S.; Theodorou, N.
1991
Reply to “Counterexample and correction to a recent result on robust stability of a diamond of complex polynomials”. Zbl 0751.30002
Bose, N. K.; Kim, K. D.
1991
Generic properties of continuous piecewise-linear vector fields in $$\mathfrak R^ 2$$. Zbl 0741.57017
Lum, Robert; Chua, Leon O.
1991
Interpolation theorem for the number of generalized end-vertices of spanning trees. Zbl 0708.05017
Cho, Hwan-Gue; Chwa, Kyung-Yong
1991
On robust eigenvalue configuration. Zbl 0746.93070
Tits, A. L.; Saydy, L.
1991
Fast computation of real discrete Fourier transform for any number of data points. Zbl 0751.65073
Hu, N.-C.; Ersoy, O. K.
1991
Zemanian, Armen H.
1991
Dynamics of an adaptive hybrid. Zbl 0722.93042
Sethares, William A.; Mareels, Iven M. Y.
1991
Canonical realization of Chua’s circuit family. Zbl 0706.94026
Chua, Leon O.; Lin, Gui-Nian
1990
Stability theory for differential/algebraic systems with application to power systems. Zbl 0717.93044
Hill, David J.; Mareels, Iven M. Y.
1990
An approach toward higher dimensional hysteresis chaos generators. Zbl 0704.94028
Saito, Toshimichi
1990
Robust strict positive realness: Characterization and construction. Zbl 0713.93048
Anderson, Brian D. O.; Dasgupta, Soura; Khargonekar, Pramod; Kraus, Frantisek J.; Mansour, Mohamed
1990
A generalized canonical piecewise-linear representation. Zbl 0704.94026
Kahlert, Claus; Chua, Leon O
1990
Necessary and sufficient conditions for robust stability of a continuous system - the continuous dependency case illustrated via multilinear dependency. Zbl 0707.93058
Zeheb, Ezra
1990
A synthesis procedure for Hopfield’s continuous-time associative memory. Zbl 0715.94021
Farrell, Jay A.; Michel, Anthony N.
1990
A generalized approach for the absolute stability of discrete-time systems utilizing the saturation nonlinearity, based on passivity properties. Zbl 0707.93052
Singh, Vimal
1990
CNN cloning template: Shadow detector. Zbl 0964.94501
Matsumoto, T.; Chua, L. O.; Suzuki, H.
1990
An algorithm for model reduction of 2-D discrete time systems. Zbl 0708.93010
Premaratne, Kamal; Jury, E. I.; Mansour, M.
1990
Pole-assignment for uncertain systems with structured perturbations. Zbl 0707.93031
Juang, Yau-Tarng; Hong, Zuu-Chang; Wang, Yi-Tarng
1990
A unifying frame for stability-test algorithms for continuous-time systems. Zbl 0708.93060
Krajewski, W.; Lepschy, A.; Mian, G. A.; Viaro, U.
1990
The piecewise-linear Lorenz circuit is chaotic in the sense of Shilnikov. Zbl 0704.94027
Tokunaga, Ryuji; Matsumoto, Takashi; Chua, Leon O.; Miyama, Satoru
1990
A constructive methodology for estimating the stability regions of interconnected nonlinear systems. Zbl 0717.93054
Chiang, Hsiao-Dong; Fekih-Ahmed, Lazhar
1990
Vertex implications of stability for a class of delay-differential interval system. Zbl 0722.34061
Kim, K. D.; Bose, N. K.
1990
Rigorous analyses of windows in a symmetric circuit. Zbl 0704.94029
Nishio, Yoshifumi; Inaba, Naohiko; Mori, Shinsaku; Saito, Toshimichi
1990
Chaos from third-order phase-locked loops with a slowly varying parameter. Zbl 0714.58045
Chu, Yu-Huang; Chou, Jui-Hsiung; Chang, Shyang
1990
State models and stability for 2-D filters. Zbl 0724.93046
Aravena, Jorge L.; Shafiee, Masoud; Porter, William A.
1990
Optimal finite precision implementation of a state-estimate feedback controller. Zbl 0729.93026
Li, Gang; Gevers, Michel
1990
A Gomory-Hu cut tree representation of a netlist partitioning problem. Zbl 0733.94027
1990
A parametric representation for $$k$$-variable Schur polynomials. Zbl 0742.93039
Kummert, Anton
1990
A numerical algorithm for stability testing of 2-D recursive digital filters. Zbl 0706.65065
Gu, Guoxiang; Lee, E. Bruce
1990
Some Schur-stability criteria for uncertain systems with complex coefficients. Zbl 0708.93064
Katbab, A.; Kraus, F.; Jury, E. I.
1990
Sufficient condition for state-space representation of N-D discrete-time lossless bounded real matrix and N-D stability of Mansour matrix. Zbl 0709.93064
Matsumoto, N.; Anderson, B. D. O.; Mansour, M.
1990
A novel approach for solving diophantine equations. Zbl 0714.15011
Fang, Chun Hsiung; Chang, Fan Ren
1990
A symmetric matrix criterion for polynomial root clustering. Zbl 0714.65040
Taub, Hedi; Gutman, Shaul
1990
Genericness of solution to N-dimensional polynomial matrix equation $$XA=I$$. Zbl 0708.15005
Kurek, Jerzy E.
1990
2-D filter stability tests using polynomial array. Zbl 0708.93074
Hu, Xiheng; Ng, T. S.
1990
Global optimization: A naive approach. Zbl 0709.90092
Chua, Leon O.
1990
General results concerning the BIBO stability of inverse 2-D digital filters. Zbl 0709.93066
Swamy, M. N. S.; Roytman, Leonid M.
1990
Orbits of the R-L-diode circuit. Zbl 0712.94022
Azzouz, Abdennasser; Hasler, Martin
1990
Strict aperiodic property of a polynomial set with coefficients on a diamond and generalizations. Zbl 0726.93066
Soh, C. B.
1990
Qualitative analysis of neural networks. Zbl 0672.94015
Michel, Anthony N.; Farrell, Jay A.; Porod, Wolfgang
1989
Analysis and synthesis of a class of neural networks: Linear systems operating on a closed hypercube. Zbl 0689.94004
Li, Jian-Hua; Michel, Anthony N.; Porod, Wolfgang
1989
Normal forms for nonlinear vector fields. II: Applications. Zbl 0702.58047
Chua, Leon O.; Kokubu, Hiroshi
1989
BIBO stability of inverse 2-D digital filters in the presence of nonessential singularities of the second kind. Zbl 0672.94026
Lin, Zhiping; Bruton, Leonard T.
1989
Tests for Hurwitz and Schur properties of convex combination of complex polynomials. Zbl 0683.30008
Bose, N. K.
1989
Stability of a complex polynomial set with coefficients in a diamond and generalizations. Zbl 0683.30007
Bose, N. K.; Kim, K. D.
1989
The discrete-time strictly bounded-real lemma and the computation of positive definite solutions to the 2-D Lyapunov equation. Zbl 0684.65042
Agathoklis, Panajotis; Jury, E. I.; Mansour, Mohamed
1989
On the multidimensional generalization of robustness of scattering Hurwitz property of complex polynomials. Zbl 0687.30006
Basu, Sankar
1989
Analysis and synthesis of a class of neural networks: Variable structure systems with infinite gain. Zbl 0675.94021
Li, Jianhua; Michel, Anthony N.; Porod, Wolfgang
1989
An algorithm for solving the matrix polynomial equation $$B(s)D(s)+A(s)N(s)=H(s)$$. Zbl 0691.65025
Lai, Yhean-Sen
1989
Hessenberg-triangular reduction and transfer function matrices of singular systems. Zbl 0675.93033
1989
Spectral factorization of matrix-valued functions using interpolation theory. Zbl 0691.30030
Georgiou, Tryphon; Khargonekar, Pramod P.
1989
Normal forms for constrained nonlinear differential equations. II: Bifurcation. Zbl 0724.34043
Chua, Leon O.; Oka, Hiroe
1989
Computational aspects of spectral factorization and the tangential Schur algorithm. Zbl 0850.93228
Georgiou, Tryphon T.
1989
MOD-CHAR: An implementation of Char’s spanning tree enumeration algorithm and its complexity analysis. Zbl 0683.68036
Jayakumar, R.; Thulasiraman, K.; Swamy, M. N. S.
1989
Highly fault-tolerant communication network models. Zbl 0666.94026
Opatrny, Jaroslav; Srinivasan, N.; Alagar, Vangular S.
1989
A further simplification to Jury’s stability test. Zbl 0674.30001
Jonckheere, Edmund; Ma, Chingwo
1989
Stability robustness of two-dimensional discrete systems and its computation. Zbl 0677.93053
Lu, W.-S.
1989
Integral manifold as a tool for reduced-order modeling of nonlinear systems: A synchronous machine case study. Zbl 0682.93027
Kokotovic, Petar V.; Sauer, Peter W.
1989
On a generalized factorization problem for structurally passive synthesis of digital filters. Zbl 0696.94027
Basu, Sankar; Tan, Alfredo C.
1989
Evaluating the matrix polynomial $$I+A+\dots +A^{N-1}$$. Zbl 0669.68025
Westreich, David
1989
A generalized expression for the impulse responses of recursive linear time-variant digital filters. Zbl 0672.94025
Li, Dongning
1989
A simple algorithm for finding all solutions of piecewise-linear networks. Zbl 0673.94020
Huang, Qiu; Liu, Ruey-Wen
1989
A new approach to multicriterion optimization problem and its application to the design of 1-D digital filters. Zbl 0675.93032
Charalambous, Christakis
1989
Normal matrices and their stability properties: Application to 2-D system stabilization. Zbl 0675.93061
1989
On upper bounds in tree-diameter sets of graphs. Zbl 0676.05047
Shibata, Yukio; Fukue, Susumu
1989
The Laguerre method for finding the zeros of polynomials. Zbl 0695.65027
Orchard, H. J.
1989
Algorithmic remarks on the Nishi-Chua uniqueness criterion for electrical networks containing controlled sources. Zbl 0696.94026
Maas, Christoph
1989
Cellular neural networks: Theory. Zbl 0663.94022
Chua, Leon O.; Yang, Lin
1988
Qualitative analysis and synthesis of a class of neural networks. Zbl 0664.34042
Li, Jian Hua; Michel, Anthony N.; Porod, Wolfgang
1988
Normal forms for nonlinear vector fields. I: Theory and algorithm. Zbl 0683.58021
Chua, Leon O.; Kokubu, Hiroshi
1988
The complexity of some edge deletion problems. Zbl 0654.68084
El-Mallah, Ehab S.; Colbourn, Charles J.
1988
A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds. Zbl 0659.93013
Opdenacker, Phillipe C.; Jonckheere, Edmond A.
1988
On matrix fraction descriptions of multivariable linear n-D systems. Zbl 0662.93036
Lin, Zhiping
1988
On the f-coloring of multigraphs. Zbl 0638.05024
Nakano, Shin-Ichi; Nishizeki, Takao; Saito, Nobuji
1988
Graph theoretic reliability analysis for the Boolean $$n$$ cube networks. Zbl 0656.94027
Yang, C. S.; Wang, J. F.; Lee, J. Y.; Boesch, F. T.
1988
Normal forms near critical points for differential equations and maps. Zbl 0702.34033
Ashkenazi, Max; Chow, Shui-Nee
1988
Reality of chaos in the double scroll circuit: A computer-assisted proof. Zbl 0661.58019
Matsumoto, Takashi; Chua, Leon O.; Ayaki, Kenichiro
1988
Canonical piecewise-linear representation. Zbl 0644.94023
Chua, Leon O.; Deng, An-Chang
1988
On the robustness of low-order Schur polynomials. Zbl 0654.93059
Kraus, F. J.; Anderson, B. D. O.; Jury, E. I.; Mansour, M.
1988
Inversion of singular systems. Zbl 0653.93014
Tan, Shaohua; Vandewalle, Joos
1988
Normal forms for constrained nonlinear differential equations. I: Theory. Zbl 0674.34010
Chua, Leon O.; Oka, Hiroe
1988
Linear maps and impulse responses. Zbl 0638.93014
Sandberg, Irwin W.
1988
...and 522 more Documents
all top 5

#### Cited by 6,316 Authors

 49 Cao, Jinde 44 Chen, Guanrong 36 Chua, Leon Ong 32 Huang, Lihong 27 Billings, Stephen A. 23 Hsu, Cheng-Hsiung 22 Liao, Xiaofeng 21 Xu, Li 19 Yang, Xiaosong 19 Yu, Pei 18 Ban, Jungchao 18 Moiola, Jorge Luis 17 Forti, Mauro 17 Haddad, Wassim Michael 17 Lam, James 17 Lin, Song-Sun 16 Anderson, Brian David Outram 16 Gugercin, Serkan 15 Di Marco, Mauro 15 Hinamoto, Takao 15 Rogers, Eric 14 Fornasini, Ettore 14 Fortuna, Luigi 14 Gałkowski, Krzysztof 14 Lin, Zhiping 14 Park, Juhyun (Jessie) 14 Sandberg, Irwin W. 14 Tesi, Alberto 13 Benhadj Braiek, Naceur 13 Kar, Haranath 13 Liu, Xinzhi 13 Lovass-Nagy, Victor 13 Owens, David Howard 13 Ponce, Enrique 13 Zeheb, Ezra 12 Balasubramaniam, Pagavathigounder 12 Chen, Borsen 12 Chen, Tianping 12 Freire Macías, Emilio 12 Hartmann, Stefan 12 Lasarow, Andreas 12 Lewis, Frank Leroy 12 Valcher, Maria Elena 11 Alpay, Daniel Aron 11 Bernstein, Dennis S. 11 Chang, Chih-Hung 11 Inaba, Naohiko 11 Pancioni, Luca 11 Shih, Chih-Wen 11 Van Dooren, Paul M. 11 Wei, Xiaopeng 11 Zhang, Qiang 10 Curtain, Ruth Frances 10 Frasca, Mattia 10 Fritzsche, Bernd 10 Huang, Zhenkun 10 Jiang, Haijun 10 Jing, Xingjian 10 Kirstein, Bernd 10 Mohamad, Sannay 10 Porter, William A. 10 Rakkiyappan, Rajan 10 Riaza, Ricardo 10 Rocha, Paula 10 Singh, Vimal Pratap 10 Xu, Jin 10 Zeng, Zhigang 9 Bisiacco, Mauro 9 Blanchini, Franco 9 Cai, Zuowei 9 Chen, Fangyue 9 Chen, Wai-Kai 9 Grassi, Giuseppe 9 Gray, W. Steven 9 Grazzini, Massimo 9 Ho, Daniel W. C. 9 Hwang, Chyi 9 Jury, Eliahu I. 9 Karimi, Hamid Reza 9 Lang, Ziqiang 9 Li, Chuandong 9 Qi, Guoyuan 9 Razzaghi, Mohsen 9 Roska, Tamás 9 Verhaegen, Michel 9 Viaro, Umberto 9 Wang, Long 9 Xiang, Zhengrong 9 Yu, Simin 9 Zhao, Caidi 8 Aguirre-Hernández, Baltazar 8 Antoniou, George E. 8 Benner, Peter 8 Bilotta, Eleonora 8 Bouafoura, Mohamed Karim 8 Cui, Baotong 8 Delsarte, Philippe 8 Endo, Tetsuro 8 Fairman, Frederick W. 8 Gao, Huijun ...and 6,216 more Authors
all top 5

#### Cited in 416 Journals

 427 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 292 Automatica 282 International Journal of Control 190 Systems & Control Letters 171 Circuits, Systems, and Signal Processing 169 Journal of the Franklin Institute 151 Linear Algebra and its Applications 150 International Journal of Systems Science 125 Chaos, Solitons and Fractals 119 Applied Mathematics and Computation 119 Multidimensional Systems and Signal Processing 87 Nonlinear Dynamics 84 Chaos 73 International Journal of Circuit Theory and Applications 71 Journal of Mathematical Analysis and Applications 60 Journal of Computational and Applied Mathematics 52 Neural Networks 50 Computers & Mathematics with Applications 50 Mathematical Problems in Engineering 46 Physica D 45 Discrete Applied Mathematics 41 Communications in Nonlinear Science and Numerical Simulation 35 Journal of Optimization Theory and Applications 33 Mathematical and Computer Modelling 33 Nonlinear Analysis. Real World Applications 30 European Journal of Control 28 Journal of Differential Equations 28 Neural Computation 28 International Journal of Robust and Nonlinear Control 27 MCSS. Mathematics of Control, Signals, and Systems 26 Applied Mathematical Modelling 25 Kybernetika 25 Mathematics and Computers in Simulation 23 Information Processing Letters 23 International Journal of Computer Mathematics 23 Abstract and Applied Analysis 23 Advances in Difference Equations 22 Theoretical Computer Science 22 Applied Mathematics Letters 22 Signal Processing 22 Complexity 21 International Journal of Systems Science. Principles and Applications of Systems and Integration 20 Nonlinear Analysis. Theory, Methods & Applications 19 Discrete Mathematics 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Algorithmica 18 COMPEL 17 Integral Equations and Operator Theory 17 Discrete Dynamics in Nature and Society 16 Journal of Approximation Theory 16 Acta Applicandae Mathematicae 14 Asian Journal of Control 13 Mathematical Biosciences 13 Information Sciences 13 Journal of Computer and System Sciences 12 Mathematical Systems Theory 12 Discrete and Continuous Dynamical Systems. Series B 12 Journal of Systems Science and Complexity 11 Networks 11 Journal of Dynamics and Differential Equations 11 Nonlinear Analysis. Hybrid Systems 10 Acta Mathematicae Applicatae Sinica. English Series 10 Numerical Algorithms 10 European Journal of Operational Research 10 Journal of Applied Mathematics and Computing 10 EURASIP Journal on Advances in Signal Processing 9 Mathematical Methods in the Applied Sciences 9 Journal of Applied Mathematics 8 Journal of Mathematical Physics 8 Fuzzy Sets and Systems 8 Numerical Functional Analysis and Optimization 8 Numerische Mathematik 8 SIAM Journal on Control and Optimization 8 Applied Numerical Mathematics 8 Pattern Recognition 8 Journal of Nonlinear Science 8 Journal of Vibration and Control 7 Computer Methods in Applied Mechanics and Engineering 7 Journal of Mathematical Biology 7 Linear and Multilinear Algebra 7 Applied Mathematics and Mechanics. (English Edition) 7 Computers & Operations Research 7 International Journal of Adaptive Control and Signal Processing 7 Automation and Remote Control 7 Journal of Mathematical Sciences (New York) 7 Science in China. Series E 7 Differential Equations and Dynamical Systems 7 International Journal of Applied Mathematics and Computer Science 7 Dynamical Systems 7 Complex Analysis and Operator Theory 6 Biological Cybernetics 6 Bulletin of Mathematical Biology 6 International Journal of Mathematics and Mathematical Sciences 6 Kybernetes 6 Proceedings of the American Mathematical Society 6 Graphs and Combinatorics 6 Dynamics and Stability of Systems 6 Japan Journal of Industrial and Applied Mathematics 6 Dynamics and Control 6 Computational Optimization and Applications ...and 316 more Journals
all top 5

#### Cited in 60 Fields

 2,082 Systems theory; control (93-XX) 1,119 Ordinary differential equations (34-XX) 735 Dynamical systems and ergodic theory (37-XX) 601 Biology and other natural sciences (92-XX) 553 Information and communication theory, circuits (94-XX) 513 Computer science (68-XX) 416 Numerical analysis (65-XX) 293 Linear and multilinear algebra; matrix theory (15-XX) 239 Operations research, mathematical programming (90-XX) 214 Combinatorics (05-XX) 153 Operator theory (47-XX) 144 Mechanics of particles and systems (70-XX) 130 Calculus of variations and optimal control; optimization (49-XX) 109 Partial differential equations (35-XX) 104 Probability theory and stochastic processes (60-XX) 97 Harmonic analysis on Euclidean spaces (42-XX) 92 Functions of a complex variable (30-XX) 91 Approximations and expansions (41-XX) 82 Statistics (62-XX) 55 Difference and functional equations (39-XX) 50 Real functions (26-XX) 46 Mechanics of deformable solids (74-XX) 42 Functional analysis (46-XX) 41 Statistical mechanics, structure of matter (82-XX) 40 Integral equations (45-XX) 39 Optics, electromagnetic theory (78-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Special functions (33-XX) 34 Commutative algebra (13-XX) 24 Field theory and polynomials (12-XX) 21 Integral transforms, operational calculus (44-XX) 17 Number theory (11-XX) 17 Global analysis, analysis on manifolds (58-XX) 13 Convex and discrete geometry (52-XX) 11 Fluid mechanics (76-XX) 10 Algebraic geometry (14-XX) 10 Quantum theory (81-XX) 9 Measure and integration (28-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Differential geometry (53-XX) 8 History and biography (01-XX) 8 Associative rings and algebras (16-XX) 8 Abstract harmonic analysis (43-XX) 8 General topology (54-XX) 7 Mathematical logic and foundations (03-XX) 7 Manifolds and cell complexes (57-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Group theory and generalizations (20-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Nonassociative rings and algebras (17-XX) 3 $$K$$-theory (19-XX) 3 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX)