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Gelig, Arkadiĭ Khaimovich

Author ID: gelig.arkadii-khaimovich Recent zbMATH articles by "Gelig, Arkadiĭ Khaimovich"
Published as: Gelig, A. Kh.; Gelig, A. H.; Gelig, A. Ch.; Gelig, Arkadiĭ Khaimovich
External Links: MGP · Math-Net.Ru

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 386 times in 303 Documents Cited by Year
The stability of nonlinear systems with a nonunique equilibrium state. (Ustojchivost’ nelinejnykh sistem s needinstvennym sostoyaniem ravnovesiya). Zbl 0544.93051
Gelig, A. Kh.; Leonov, G. A.; Yakubovich, V. A.
133
1978
Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002
Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh.
103
2004
Stability and oscillations of nonlinear pulse-modulated systems. Zbl 0935.93001
Gelig, A. Kh.; Churilov, A. N.
55
1998
The frequency theorem (Kalman-Yakubovich lemma) in control theory. Zbl 0932.93001
Barabanov, N. E.; Gelig, A. Kh.; Leonov, G. A.; Likhtarnikov, A. L.; Matveev, A. S.; Smirnova, V. B.; Fradkov, A. L.
12
1996
Robust invariant stabilization of nonlinear continuous and discrete systems. Zbl 1144.93026
Zuber, I. E.; Gelig, A. Kh.
6
2008
Popov-type stability criterion for functional-differential equations describing pulse modulated control systems. Zbl 0860.34047
Gelig, A. Kh.; Churilov, A. N.
5
1993
Frequency methods in the theory of pulse-modulated control systems. Zbl 1195.93084
Gelig, A. Kh.; Churilov, A. N.
5
2006
Stability and oscillations in pulse-modulated systems: A review of mathematical approaches. Zbl 0906.93002
Gelig, A. Kh.; Churilov, A. N.
4
1996
Using the direct and indirect control to stabilize some classes of uncertain systems. II: Pulse and discrete systems. Zbl 1258.93093
Gelig, A. Kh.; Zuber, I. E.
4
2012
Robust stabilization of some class of uncertain systems. Zbl 1187.93115
Zuber, I. E.; Gelig, A. Kh.
4
2009
Invariant stabilization of classes of uncertain systems with delays. Zbl 1230.93079
Gelig, A. H.; Zuber, I. E.
3
2011
Nonlinear systems. Frequency and matrix inequalities. Dedicated to Vladimir Andreevich Yakubobich on the occasion of his 80th birthday. (Нелинейные системы. Частотные и матричные неравенства. К 80-летию со дня рождения Владимира Андреевича Якубовича.) Zbl 1159.93017
3
2008
Using the direct and indirect control to stabilize some classes of uncertain systems. I. continuous systems. Zbl 1268.93112
Gelig, A. Kh.; Zuber, I. E.
3
2012
Dynamics of impulse systems and neural networks. (Dinamika impul’snykh sistem i nejronnykh setej). Zbl 0528.92030
Gelig, A. Kh.
3
1982
New classes of stabilizable uncertain systems. Zbl 1355.93162
Gelig, A. Kh.; Zuber, I. E.; Zakharenkov, M. S.
3
2016
Frequency criterion for nonlinear pulse systems stability. Zbl 0484.93052
Gelig, A. Ch.
3
1982
Invariant stabilization of nonstationary control systems with external action. Zbl 1105.93046
Gelig, A. Kh.; Zuber, I. E.
2
2005
Periodic modes in pulse-frequency systems. Zbl 0928.93019
Gelig, A. Kh.; Churilov, A. N.
2
1995
Stability of nonlinear pulse systems in the presence of random disturbances of parameters. Zbl 0931.60043
Gelig, A. Kh.; Elkhimova, Yu. V.
2
1995
The stability of the Ito functional-differential equation with a monotone nonlinear characteristic. Zbl 0887.60067
Gelig, A. Kh.; Elkhimova, Yu. V.
2
1995
Stability of a class of functional-differential Itô equations. Zbl 0855.60054
Gelig, A. Kh.; Elkhimova, Yu. V.; Churilov, A. N.
2
1994
Absolute stability of nonlinear sampled-data systems with pulse-width and pulse-time modulation. Zbl 0186.22204
Gelig, A. H.
2
1968
Vector control design for robust stabilization of a class of uncertain systems. Zbl 1187.93113
Gelig, A. Ch.; Zuber, I. E.
2
2009
Stabilization of two classes of nonlinear pulse-modulated systems with delay. Zbl 1140.93457
Gelig, A. Kh.; Muranov, V. A.
1
2005
An analytical synthesis of stabilizing output control for nonstationary pulse systems. Zbl 1121.93062
Gelig, A. Kh.
1
2004
On the stability in the whole of systems with pulse response. Zbl 0911.34049
Gelig, A. Kh.; Churilov, A. N.
1
1997
Stability of controlled systems with bounded nonlinearities. Zbl 0209.16101
Gelig, A. Kh.
1
1969
Robust stabilization of continuous indeterminate systems. Zbl 1163.93384
Gelig, A. Kh.; Zuber, I. E.
1
2009
Vladimir Andreevich Yakubovich. Zbl 1195.01065
Gelig, A. Kh.; Leonov, G. A.; Fradkov, A. L.
1
2006
Monostability of multicoupled systems with discontinuous monotonic nonlinearities and non-unique equilibrium position. Zbl 0296.93032
Gelig, A. H.; Leonov, G. A.
1
1973
Auto-oscillations in a pulse system with several modulators. Zbl 1043.34081
Gelig, A. Kh.; Churilov, A. N.
1
1999
Asymptotic stability of nonlinear pulse systems. Zbl 1094.93542
Gelig, A. Kh.
1
2002
Stabilization of nonlinear pulse systems. Zbl 1151.93417
Gelig, A. Kh.; Kabrits, M. S.
1
2003
Stabilization of nonstationary pulse systems. Zbl 1095.93027
Gelig, A. Kh.; Zuber, I. E.
1
2004
The absolute stability of nonlinear control systems with distributed parameters. Zbl 0132.32901
Gelig, A. H.
1
1965
Investigation of stability of nonlinear discontinuous automatic control systems with a nonunique equilibrium state. Zbl 0138.33702
Gelig, A. H.
1
1964
The stability of nonlinear pulse systems. Zbl 0172.12603
Gelig, A. Kh.
1
1968
An extended class of stabilizable uncertain systems. Zbl 1383.93066
Zuber, Irina Efremovna; Voloshinova, T. V.; Gelig, Arkadiĭ Khaimovich
1
2016
Stabilization by output of continuous and pulse-modulated uncertain systems. Zbl 1383.93065
Zuber, Irina Efremovna; Gelig, Arkadiĭ Khaimovich
1
2017
Multidimensional output stabilization of a certain class of uncertain systems. Zbl 1401.93183
Gelig, A. Kh.; Zuber, I. E.
1
2018
Stability of indefinite systems. Zbl 1194.34109
Zuber, I. E.; Gelig, A. Kh.
1
2009
Stabilization of a certain class of uniformly controllable systems. Zbl 1264.93028
Zuber, I. E.; Yakubovich, V. A.; Gelig, A. Kh.
1
2012
Stabilization of impulse systems by a periodic exterior action. Zbl 0722.93064
Gelig, A. Kh.
1
1990
Periodic modes in pulse-width systems with a variable-structure linear part. Zbl 0754.93034
Gelig, A. Kh.; Churilov, A. N.
1
1990
Global stabilization of nonlinear systems by quadratic Lyapunov functions. Zbl 1251.93114
Zuber, I. E.; Gelig, A. Kh.
1
2010
Dynamic control for non-linear systems with delay. Zbl 1263.34113
Zuber, I. E.; Gelig, A. Kh.
1
2011
Multidimensional output stabilization of a certain class of uncertain systems. Zbl 1401.93183
Gelig, A. Kh.; Zuber, I. E.
1
2018
Stabilization by output of continuous and pulse-modulated uncertain systems. Zbl 1383.93065
Zuber, Irina Efremovna; Gelig, Arkadiĭ Khaimovich
1
2017
New classes of stabilizable uncertain systems. Zbl 1355.93162
Gelig, A. Kh.; Zuber, I. E.; Zakharenkov, M. S.
3
2016
An extended class of stabilizable uncertain systems. Zbl 1383.93066
Zuber, Irina Efremovna; Voloshinova, T. V.; Gelig, Arkadiĭ Khaimovich
1
2016
Using the direct and indirect control to stabilize some classes of uncertain systems. II: Pulse and discrete systems. Zbl 1258.93093
Gelig, A. Kh.; Zuber, I. E.
4
2012
Using the direct and indirect control to stabilize some classes of uncertain systems. I. continuous systems. Zbl 1268.93112
Gelig, A. Kh.; Zuber, I. E.
3
2012
Stabilization of a certain class of uniformly controllable systems. Zbl 1264.93028
Zuber, I. E.; Yakubovich, V. A.; Gelig, A. Kh.
1
2012
Invariant stabilization of classes of uncertain systems with delays. Zbl 1230.93079
Gelig, A. H.; Zuber, I. E.
3
2011
Dynamic control for non-linear systems with delay. Zbl 1263.34113
Zuber, I. E.; Gelig, A. Kh.
1
2011
Global stabilization of nonlinear systems by quadratic Lyapunov functions. Zbl 1251.93114
Zuber, I. E.; Gelig, A. Kh.
1
2010
Robust stabilization of some class of uncertain systems. Zbl 1187.93115
Zuber, I. E.; Gelig, A. Kh.
4
2009
Vector control design for robust stabilization of a class of uncertain systems. Zbl 1187.93113
Gelig, A. Ch.; Zuber, I. E.
2
2009
Robust stabilization of continuous indeterminate systems. Zbl 1163.93384
Gelig, A. Kh.; Zuber, I. E.
1
2009
Stability of indefinite systems. Zbl 1194.34109
Zuber, I. E.; Gelig, A. Kh.
1
2009
Robust invariant stabilization of nonlinear continuous and discrete systems. Zbl 1144.93026
Zuber, I. E.; Gelig, A. Kh.
6
2008
Nonlinear systems. Frequency and matrix inequalities. Dedicated to Vladimir Andreevich Yakubobich on the occasion of his 80th birthday. (Нелинейные системы. Частотные и матричные неравенства. К 80-летию со дня рождения Владимира Андреевича Якубовича.) Zbl 1159.93017
3
2008
Frequency methods in the theory of pulse-modulated control systems. Zbl 1195.93084
Gelig, A. Kh.; Churilov, A. N.
5
2006
Vladimir Andreevich Yakubovich. Zbl 1195.01065
Gelig, A. Kh.; Leonov, G. A.; Fradkov, A. L.
1
2006
Invariant stabilization of nonstationary control systems with external action. Zbl 1105.93046
Gelig, A. Kh.; Zuber, I. E.
2
2005
Stabilization of two classes of nonlinear pulse-modulated systems with delay. Zbl 1140.93457
Gelig, A. Kh.; Muranov, V. A.
1
2005
Stability of stationary sets in control systems with discontinuous nonlinearities. Zbl 1054.93002
Yakubovich, V. A.; Leonov, G. A.; Gelig, A. Kh.
103
2004
An analytical synthesis of stabilizing output control for nonstationary pulse systems. Zbl 1121.93062
Gelig, A. Kh.
1
2004
Stabilization of nonstationary pulse systems. Zbl 1095.93027
Gelig, A. Kh.; Zuber, I. E.
1
2004
Stabilization of nonlinear pulse systems. Zbl 1151.93417
Gelig, A. Kh.; Kabrits, M. S.
1
2003
Asymptotic stability of nonlinear pulse systems. Zbl 1094.93542
Gelig, A. Kh.
1
2002
Auto-oscillations in a pulse system with several modulators. Zbl 1043.34081
Gelig, A. Kh.; Churilov, A. N.
1
1999
Stability and oscillations of nonlinear pulse-modulated systems. Zbl 0935.93001
Gelig, A. Kh.; Churilov, A. N.
55
1998
On the stability in the whole of systems with pulse response. Zbl 0911.34049
Gelig, A. Kh.; Churilov, A. N.
1
1997
The frequency theorem (Kalman-Yakubovich lemma) in control theory. Zbl 0932.93001
Barabanov, N. E.; Gelig, A. Kh.; Leonov, G. A.; Likhtarnikov, A. L.; Matveev, A. S.; Smirnova, V. B.; Fradkov, A. L.
12
1996
Stability and oscillations in pulse-modulated systems: A review of mathematical approaches. Zbl 0906.93002
Gelig, A. Kh.; Churilov, A. N.
4
1996
Periodic modes in pulse-frequency systems. Zbl 0928.93019
Gelig, A. Kh.; Churilov, A. N.
2
1995
Stability of nonlinear pulse systems in the presence of random disturbances of parameters. Zbl 0931.60043
Gelig, A. Kh.; Elkhimova, Yu. V.
2
1995
The stability of the Ito functional-differential equation with a monotone nonlinear characteristic. Zbl 0887.60067
Gelig, A. Kh.; Elkhimova, Yu. V.
2
1995
Stability of a class of functional-differential Itô equations. Zbl 0855.60054
Gelig, A. Kh.; Elkhimova, Yu. V.; Churilov, A. N.
2
1994
Popov-type stability criterion for functional-differential equations describing pulse modulated control systems. Zbl 0860.34047
Gelig, A. Kh.; Churilov, A. N.
5
1993
Stabilization of impulse systems by a periodic exterior action. Zbl 0722.93064
Gelig, A. Kh.
1
1990
Periodic modes in pulse-width systems with a variable-structure linear part. Zbl 0754.93034
Gelig, A. Kh.; Churilov, A. N.
1
1990
Dynamics of impulse systems and neural networks. (Dinamika impul’snykh sistem i nejronnykh setej). Zbl 0528.92030
Gelig, A. Kh.
3
1982
Frequency criterion for nonlinear pulse systems stability. Zbl 0484.93052
Gelig, A. Ch.
3
1982
The stability of nonlinear systems with a nonunique equilibrium state. (Ustojchivost’ nelinejnykh sistem s needinstvennym sostoyaniem ravnovesiya). Zbl 0544.93051
Gelig, A. Kh.; Leonov, G. A.; Yakubovich, V. A.
133
1978
Monostability of multicoupled systems with discontinuous monotonic nonlinearities and non-unique equilibrium position. Zbl 0296.93032
Gelig, A. H.; Leonov, G. A.
1
1973
Stability of controlled systems with bounded nonlinearities. Zbl 0209.16101
Gelig, A. Kh.
1
1969
Absolute stability of nonlinear sampled-data systems with pulse-width and pulse-time modulation. Zbl 0186.22204
Gelig, A. H.
2
1968
The stability of nonlinear pulse systems. Zbl 0172.12603
Gelig, A. Kh.
1
1968
The absolute stability of nonlinear control systems with distributed parameters. Zbl 0132.32901
Gelig, A. H.
1
1965
Investigation of stability of nonlinear discontinuous automatic control systems with a nonunique equilibrium state. Zbl 0138.33702
Gelig, A. H.
1
1964
all top 5

Cited by 336 Authors

33 Leonov, Gennadiĭ Alekseevich
25 Gelig, Arkadiĭ Khaimovich
22 Zuber, Irina Efremovna
13 Fradkov, Aleksandr L’vovich
13 Logemann, Hartmut
12 Churilov, Alexander N.
12 Kogan, Mark Mikhailovich
12 Kuznetsov, Nikolay Vladimirovich
10 Balandin, Dmitriĭ Vladimirovich
9 Guiver, Chris
8 Barabanov, Nikita E.
8 Efimov, Denis V.
6 Kamenetskij, V. A.
6 Medvedev, Aleksandr Vladislavovich
6 Nijmeijer, Henk
5 Bobtsov, Alexey A.
5 Mokaev, R. N.
5 Proskurnikov, Anton Viktorovich
5 Rapoport, Lev B.
5 Zhusubaliev, Zhanybaĭ Tursunbaevich
4 Anikushin, Mikhaĭl Mikhaĭlovich
4 Burkin, Igor’ Mikhaĭlovich
4 Khusainov, Denis Ya.
4 Nikolaev, N. A.
4 Pogromsky, Alexander Yu.
4 Reitmann, Volker
4 Smirnova, Vera Borisovna
4 Yang, Ying
3 Aleksandrov, Konstantin Dmitrievich
3 Balachandran, Krishnan
3 Barkin, A. I.
3 Diblík, Josef
3 Guan, Zhihong
3 Gusev, Sergei V.
3 Huang, Lin
3 Karthikeyan, Shanmugasundaram
3 Kiseleva, M. A.
3 Kudryashova, Elena Vladimirovna
3 Mosekilde, Erik
3 Ortega, Romeo S.
3 Pakshin, P. V.
3 Perkin, A. A.
3 Polyak, Boris Teodorovich
3 Sarkans, E.
3 Solov’eva, E. P.
3 Utina, N. V.
3 Yakubovich, Vladimir Andreevich
2 Aleksandrov, Aleksandr Yur’evich
2 Andrievskii, B. R.
2 Andrievskiĭ, Boris Rostislavich
2 Barroso, Nelson F.
2 Baštinec, Jaromír
2 Bill, Adam
2 Brogliato, Bernard
2 Brusin, Vladimir A.
2 Cao, Jiuwen
2 Franco Leis, Daniel
2 Gałkowski, Krzysztof
2 Heath, William Paul
2 Heemels, W. P. Maurice H.
2 Jiang, Zhong-Ping
2 Kofané, Timoléon Crépin
2 Konosevich, Boris Ivanovich
2 Konosevich, Yuliya B.
2 Korobov, Valeriĭ Ivanovych
2 Krivdina, L. N.
2 Liu, Tengfei
2 Lobachev, Mikhail Yur’evich
2 Lu, Pingli
2 Lutsenko, Anastasiya Vladimirovna
2 Mokaev, Timur Nazirovich
2 Muranov, V. A.
2 Nudel’man, M. A.
2 Opmeer, Mark R.
2 Perán, Juan
2 Pesterev, Alexander Vital’evich
2 Pliss, Viktor Aleksandrovich
2 Polyakov, Andrey
2 Răsvan, Vladimir B.
2 Rogers, Eric
2 Şahan, Gökhan
2 Santoboni, Giovanni
2 Schiffer, Johannes
2 Seifullaev, Ruslan E.
2 Seledzhi, S. M.
2 Shatyrko, Andriy
2 Shepeljavyi, A. I.
2 Shepeljavyi, Alexander
2 Shepelyavyi, A. I.
2 Siewe Siewe, Martin
2 Soukhoterin, Evgeniy A.
2 Townley, Stuart B.
2 Ugrinovskii, Valery A.
2 Ushirobira, Rosane
2 Utkin, Vadim Ivanovich
2 van de Wouw, Nathan
2 Xie, Guangming
2 Yuldashev, Marat Vladimirovich
2 Yuldashev, Renat Vladimirovich
2 Zakharenkov, M. S.
...and 236 more Authors
all top 5

Cited in 73 Serials

60 Automation and Remote Control
32 Vestnik St. Petersburg University. Mathematics
21 Automatica
12 Differential Equations
10 Siberian Mathematical Journal
9 Journal of Applied Mathematics and Mechanics
8 Systems & Control Letters
8 International Journal of Robust and Nonlinear Control
7 Journal of the Franklin Institute
7 Journal of Computer and Systems Sciences International
7 Doklady Mathematics
6 MCSS. Mathematics of Control, Signals, and Systems
6 Nonlinear Dynamics
6 Differentsial’nye Uravneniya i Protsessy Upravleniya
5 SIAM Journal on Control and Optimization
5 Physica D
4 International Journal of Control
4 Prikladnaya Matematika i Mekhanika
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 European Journal of Control
4 Nonlinear Analysis. Hybrid Systems
3 Journal of Mathematical Analysis and Applications
3 Chaos, Solitons and Fractals
3 Applied Mathematics and Computation
3 International Journal of Adaptive Control and Signal Processing
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Communications in Nonlinear Science and Numerical Simulation
3 Advances in Difference Equations
2 Mathematical Notes
2 Physics Letters. A
2 Journal of Optimization Theory and Applications
2 Linear Algebra and its Applications
1 Acta Mechanica
1 International Journal of Engineering Science
1 International Journal of Systems Science
1 Journal of Mathematical Biology
1 Soviet Applied Mechanics
1 Functional Analysis and its Applications
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Journal of Scientific Computing
1 Neural Networks
1 Computational Mathematics and Modeling
1 SIAM Review
1 Journal of Mathematical Sciences (New York)
1 Journal of the Egyptian Mathematical Society
1 Sbornik: Mathematics
1 Mathematical Problems in Engineering
1 Functional Differential Equations
1 Differential Equations and Dynamical Systems
1 Abstract and Applied Analysis
1 Positivity
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Chaos
1 Discrete Dynamics in Nature and Society
1 International Journal of Applied Mathematics and Computer Science
1 Lobachevskii Journal of Mathematics
1 Biostatistics
1 Doklady Physics
1 Journal of Evolution Equations
1 Journal of Applied Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Chebyshevskiĭ Sbornik
1 Acta Mechanica Sinica
1 Eurasian Mathematical Journal
1 Asian Journal of Control
1 Journal of Computational Dynamics
1 Advances in Nonlinear Analysis
1 Nonlinear Analysis. Theory, Methods & Applications
1 AIMS Mathematics
1 Russian Journal of Nonlinear Dynamics

Citations by Year