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## Khapalov, Alexander Yuri

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 Author ID: khapalov.alexander-yuri Published as: Khapalov, A. Y.; Khapalov, Alexander; Khapalov, A. Yu.; Khapalov, Alexander Y.; Khapalov, Alexander Yuri; Khapalov, Alexander Yu.; Hapalov, A. Yu.; Khapalov, A. Yu
 Documents Indexed: 54 Publications since 1982, including 2 Books
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#### Co-Authors

 38 single-authored 4 Cannarsa, Piermarco 3 Kurzhanskiĭ, Aleksandr Borisovich 3 Mohler, Ronald R. 2 Floridia, Giuseppe 2 Nag, Parthasarathi 1 Eubanks, S. D. 1 Fernández, Luis Alberto 1 Priuli, Fabio Simone 1 Trinh, Giang
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#### Serials

 5 SIAM Journal on Control and Optimization 4 Journal of Mathematical Analysis and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 International Journal of Applied Mathematics and Computer Science 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Optimization 2 IEEE Transactions on Automatic Control 2 Systems & Control Letters 2 Discrete and Continuous Dynamical Systems 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 IMA Journal of Applied Mathematics 1 International Journal of Systems Science 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Control and Cybernetics 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Abstract and Applied Analysis 1 Revista Matemática Complutense 1 Discrete and Continuous Dynamical Systems. Series B 1 Lecture Notes in Mathematics
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#### Fields

 44 Systems theory; control (93-XX) 34 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 6 Mechanics of deformable solids (74-XX) 4 Biology and other natural sciences (92-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

45 Publications have been cited 255 times in 121 Documents Cited by Year
Controllability of partial differential equations governed by multiplicative controls. Zbl 1210.93005
Khapalov, Alexander Y.
2010
Controllability of the semilinear parabolic equation governed by a multiplicative control in the reaction term: a qualitative approach. Zbl 1041.93026
Khapalov, A. Y.
2003
Mobile point controls versus locally distributed ones for the controllability of the semilinear parabolic equation. Zbl 0995.93038
Khapalov, Alexander
2001
Bilinear control and application to flexible a. c. transmission systems. Zbl 0964.93009
Mohler, R. R.; Khapalov, A. Y.
2000
Global non-negative controllability of the semilinear parabolic equation governed by bilinear control. Zbl 1024.93026
Khapalov, Alexander Y.
2002
Controllability of the wave equation with moving point control. Zbl 0821.35014
Khapalov, A. Yu.
1995
Local controllability for a “swimming” model. Zbl 1137.76077
Khapalov, A. Y.
2007
Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign. Zbl 1219.93010
Cannarsa, Piermarco; Khapalov, Alexander
2010
Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign. Zbl 1370.93140
Cannarsa, Piermarco; Floridia, Giuseppe; Khapalov, Alexander Y.
2017
On bilinear controllability of the parabolic equation with the reaction-diffusion term satisfying Newton’s law. Zbl 1119.93017
Khapalov, A. Y.
2002
Asymptotic stabilization of the bilinear time-invariant system via piecewise-constant feedback. Zbl 0902.93058
Khapalov, A. Y.; Mohler, R. R.
1998
Well-posedness of $$2-D$$ and $$3-D$$ swimming models in incompressible fluids governed by Navier-Stokes equations. Zbl 1323.35130
Khapalov, Alexander; Cannarsa, Piermarco; Priuli, Fabio S.; Floridia, Giuseppe
2015
Controllability properties of a vibrating string with variable axial load. Zbl 1175.93032
Khapalov, Alexander
2004
Micromotions of a swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation. Zbl 1287.35057
Khapalov, Alexander Y.
2013
$$L^ \infty$$-exact observability of the heat equation with scanning pointwise sensor. Zbl 0799.35097
Khapalov, Alexander
1994
Exponential decay for the one-dimensional wave equation with internal pointwise damping. Zbl 0886.35088
Khapalov, A. Y.
1997
Controllability properties for the one-dimensional heat equation under multiplicative or nonnegative additive controls with local mobile support. Zbl 1262.35119
Fernández, Luis Alberto; Khapalov, Alexander Yuri
2012
Exact observability of the time-varying hyperbolic equation with finitely many moving internal observations. Zbl 0828.93010
Khapalov, A. Yu.
1995
Continuous observability for parabolic system under observations of discrete type. Zbl 0787.93012
Khapalov, A. Yu
1993
Source localization and sensor placement in environmental monitoring. Zbl 1211.93071
Khapalov, Alexander
2010
Reachability of nonnegative equilibrium states for the semilinear vibrating string by varying its axial load and the gain of damping. Zbl 1105.93011
Khapalov, Alexander Y.
2006
Some aspects of the asymptotic behaviour of the solutions of the semilinear heat equation in vanishing time and approximate controllability. Zbl 0846.35059
Khapalov, A. Yu.
1995
Bilinear control for global controllability of the semilinear parabolic equations with superlinear terms. Zbl 0983.93023
Khapalov, Alexander
2001
Bilinear controllability properties of a vibrating string with variable axial load and damping gain. Zbl 1035.35015
Khapalov, A. Y.
2003
Global controllability properties for the semilinear heat equation with superlinear term. Zbl 1006.35014
Khapalov, A. Y.
1999
The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation. Zbl 1342.76145
Khapalov, Alexander
2013
Observability of hyperbolic systems with interior moving sensors. Zbl 0792.93068
Khapalov, A. Yu.
1993
A class of globally controllable semilinear heat equations with superlinear terms. Zbl 0951.35062
Khapalov, A. Y.
2000
Optimal measurement trajectories for distributed parameter systems. Zbl 0765.93034
Khapalov, A. Yu.
1992
Well-posedness of a 2D swimming model governed in the nonstationary Stokes fluid by multiplicative controls. Zbl 1221.35298
Khapalov, A. Y.; Eubanks, S. D.
2009
On unique continuation of solutions of the parabolic equation from a curve. Zbl 0856.93047
Khapalov, A. Y.
1996
Approximate controllability and its well-posedness for the semilinear reaction-diffusion equation with internal lumped controls. Zbl 0926.93007
Khapalov, Alexander
1999
Geometric aspects of force controllability for a swimming model. Zbl 1195.92003
Khapalov, A. Y.
2008
Reachable sets and controllability of bilinear time-invariant systems: A qualitative approach. Zbl 0876.93011
Khapalov, A. Yu.; Mohler, R. R.
1996
Geometric aspects of transformations of forces acting upon a swimmer in a 3-D incompressible fluid. Zbl 1277.35278
Khapalov, Alexander; Trinh, Giang
2013
Mobile point sensors and actuators in the controllability theory of partial differential equations. Zbl 1454.93001
Khapalov, Alexander Y.
2017
Observability and stabilization of the vibrating string equipped with bouncing point sensors and actuators. Zbl 0994.35079
Khapalov, A. Y.
2001
Interior point control and observation for the wave equation. Zbl 0989.93045
Khapalov, A. Y.
1996
Localization of unknown sources for parabolic systems on the basis of available observations. Zbl 0800.93109
Khapalov, A. Y.
1994
Energy decay estimates for Lienard’s equation with quadratic viscous feedback. Zbl 1046.93038
Khapalov, Alexander Y.; Nag, Parthasarathi
2003
Exact null-controllability for the semilinear heat equation with superlinear term and mobile internal controls. Zbl 0967.35019
Khapalov, Alexander
2001
Exact controllability of second-order hyperbolic equations with impulse controls. Zbl 0879.93023
Khapalov, Alexander Y.
1996
Approximate controllability properties of the semilinear heat equation with lumped controls. Zbl 0951.93007
Khapalov, Alexander Yu.
1999
The state estimation problem for parabolic systems. Zbl 0766.93007
Kurzhanski, A. B.; Khapalov, A. Yu.
1991
Micromotions and controllability of a swimming model in an incompressible fluid governed by $$2-D$$ or $$3-D$$ Navier-Stokes equations. Zbl 1394.35317
Cannarsa, Piermarco; Khapalov, Alexander
2018
Micromotions and controllability of a swimming model in an incompressible fluid governed by $$2-D$$ or $$3-D$$ Navier-Stokes equations. Zbl 1394.35317
Cannarsa, Piermarco; Khapalov, Alexander
2018
Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign. Zbl 1370.93140
Cannarsa, Piermarco; Floridia, Giuseppe; Khapalov, Alexander Y.
2017
Mobile point sensors and actuators in the controllability theory of partial differential equations. Zbl 1454.93001
Khapalov, Alexander Y.
2017
Well-posedness of $$2-D$$ and $$3-D$$ swimming models in incompressible fluids governed by Navier-Stokes equations. Zbl 1323.35130
Khapalov, Alexander; Cannarsa, Piermarco; Priuli, Fabio S.; Floridia, Giuseppe
2015
Micromotions of a swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation. Zbl 1287.35057
Khapalov, Alexander Y.
2013
The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation. Zbl 1342.76145
Khapalov, Alexander
2013
Geometric aspects of transformations of forces acting upon a swimmer in a 3-D incompressible fluid. Zbl 1277.35278
Khapalov, Alexander; Trinh, Giang
2013
Controllability properties for the one-dimensional heat equation under multiplicative or nonnegative additive controls with local mobile support. Zbl 1262.35119
Fernández, Luis Alberto; Khapalov, Alexander Yuri
2012
Controllability of partial differential equations governed by multiplicative controls. Zbl 1210.93005
Khapalov, Alexander Y.
2010
Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign. Zbl 1219.93010
Cannarsa, Piermarco; Khapalov, Alexander
2010
Source localization and sensor placement in environmental monitoring. Zbl 1211.93071
Khapalov, Alexander
2010
Well-posedness of a 2D swimming model governed in the nonstationary Stokes fluid by multiplicative controls. Zbl 1221.35298
Khapalov, A. Y.; Eubanks, S. D.
2009
Geometric aspects of force controllability for a swimming model. Zbl 1195.92003
Khapalov, A. Y.
2008
Local controllability for a “swimming” model. Zbl 1137.76077
Khapalov, A. Y.
2007
Reachability of nonnegative equilibrium states for the semilinear vibrating string by varying its axial load and the gain of damping. Zbl 1105.93011
Khapalov, Alexander Y.
2006
Controllability properties of a vibrating string with variable axial load. Zbl 1175.93032
Khapalov, Alexander
2004
Controllability of the semilinear parabolic equation governed by a multiplicative control in the reaction term: a qualitative approach. Zbl 1041.93026
Khapalov, A. Y.
2003
Bilinear controllability properties of a vibrating string with variable axial load and damping gain. Zbl 1035.35015
Khapalov, A. Y.
2003
Energy decay estimates for Lienard’s equation with quadratic viscous feedback. Zbl 1046.93038
Khapalov, Alexander Y.; Nag, Parthasarathi
2003
Global non-negative controllability of the semilinear parabolic equation governed by bilinear control. Zbl 1024.93026
Khapalov, Alexander Y.
2002
On bilinear controllability of the parabolic equation with the reaction-diffusion term satisfying Newton’s law. Zbl 1119.93017
Khapalov, A. Y.
2002
Mobile point controls versus locally distributed ones for the controllability of the semilinear parabolic equation. Zbl 0995.93038
Khapalov, Alexander
2001
Bilinear control for global controllability of the semilinear parabolic equations with superlinear terms. Zbl 0983.93023
Khapalov, Alexander
2001
Observability and stabilization of the vibrating string equipped with bouncing point sensors and actuators. Zbl 0994.35079
Khapalov, A. Y.
2001
Exact null-controllability for the semilinear heat equation with superlinear term and mobile internal controls. Zbl 0967.35019
Khapalov, Alexander
2001
Bilinear control and application to flexible a. c. transmission systems. Zbl 0964.93009
Mohler, R. R.; Khapalov, A. Y.
2000
A class of globally controllable semilinear heat equations with superlinear terms. Zbl 0951.35062
Khapalov, A. Y.
2000
Global controllability properties for the semilinear heat equation with superlinear term. Zbl 1006.35014
Khapalov, A. Y.
1999
Approximate controllability and its well-posedness for the semilinear reaction-diffusion equation with internal lumped controls. Zbl 0926.93007
Khapalov, Alexander
1999
Approximate controllability properties of the semilinear heat equation with lumped controls. Zbl 0951.93007
Khapalov, Alexander Yu.
1999
Asymptotic stabilization of the bilinear time-invariant system via piecewise-constant feedback. Zbl 0902.93058
Khapalov, A. Y.; Mohler, R. R.
1998
Exponential decay for the one-dimensional wave equation with internal pointwise damping. Zbl 0886.35088
Khapalov, A. Y.
1997
On unique continuation of solutions of the parabolic equation from a curve. Zbl 0856.93047
Khapalov, A. Y.
1996
Reachable sets and controllability of bilinear time-invariant systems: A qualitative approach. Zbl 0876.93011
Khapalov, A. Yu.; Mohler, R. R.
1996
Interior point control and observation for the wave equation. Zbl 0989.93045
Khapalov, A. Y.
1996
Exact controllability of second-order hyperbolic equations with impulse controls. Zbl 0879.93023
Khapalov, Alexander Y.
1996
Controllability of the wave equation with moving point control. Zbl 0821.35014
Khapalov, A. Yu.
1995
Exact observability of the time-varying hyperbolic equation with finitely many moving internal observations. Zbl 0828.93010
Khapalov, A. Yu.
1995
Some aspects of the asymptotic behaviour of the solutions of the semilinear heat equation in vanishing time and approximate controllability. Zbl 0846.35059
Khapalov, A. Yu.
1995
$$L^ \infty$$-exact observability of the heat equation with scanning pointwise sensor. Zbl 0799.35097
Khapalov, Alexander
1994
Localization of unknown sources for parabolic systems on the basis of available observations. Zbl 0800.93109
Khapalov, A. Y.
1994
Continuous observability for parabolic system under observations of discrete type. Zbl 0787.93012
Khapalov, A. Yu
1993
Observability of hyperbolic systems with interior moving sensors. Zbl 0792.93068
Khapalov, A. Yu.
1993
Optimal measurement trajectories for distributed parameter systems. Zbl 0765.93034
Khapalov, A. Yu.
1992
The state estimation problem for parabolic systems. Zbl 0766.93007
Kurzhanski, A. B.; Khapalov, A. Yu.
1991
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#### Cited by 161 Authors

 16 Khapalov, Alexander Yuri 12 Ouzahra, Mohamed 7 Floridia, Giuseppe 6 Boutoulout, Ali 6 Cannarsa, Piermarco 6 Gao, Hang 6 Zuazua, Enrique 4 Lei, Peidong 3 Beauchard, Karine 3 Bourray, Hamid 3 Chaves-Silva, Felipe Wallison 3 Guo, Bao-Zhu 3 Lin, Ping 3 Rautenberg, Carlos N. 3 Trélat, Emmanuel 3 Tsouli, Azzeddine 3 Zerrik, El Hassan 2 Burns, John A. 2 Cîndea, Nicolae 2 Clérin, Jean-Marc 2 Court, Sébastien 2 El Alaoui, Fatima-Zahrae 2 El Kabouss, Abella 2 Hamidi, Zakaria 2 Krstić, Miroslav 2 Liu, Xu 2 Mironchenko, Andrii 2 Mohler, Ronald R. 2 Su, Lingling 2 Tie, Lin 2 Uciński, Dariusz 2 Urbani, Cristina 2 Wang, Junmin 2 Xu, Gen-Qi 1 Alabau-Boussouira, Fatiha 1 Alouges, François 1 Askari, Hesam 1 Athanasopoulos, Nikolaos 1 Avdonin, Sergeĭ Anatol’evich 1 Bacciotti, Andrea 1 Ben Amara, Jamel 1 Benhadid, Salah 1 Benhadj Braiek, Naceur 1 Benner, Peter 1 Biccari, Umberto 1 Bitsoris, Georges 1 Blighovsky, Anatoly 1 Bottois, Arthur 1 Boughamda, Walid 1 Breiten, Tobias 1 Burnham, Keith J. 1 Cardin, Franco 1 Cerpa, Eduardo 1 Chambrion, Thomas 1 Chen, Stephen 1 Choque Rivero, Abdon Eddy 1 Crépeau, Emmanuelle 1 Cui, Baotong 1 de Teresa, Luz 1 de Wit, Carlos Canudas 1 Demetriou, Michael A. 1 DeSimone, Antonio 1 Diaz Diaz, Jesus Ildefonso 1 Ding, Chenyang 1 Ding, Juntang 1 El Ayadi, R. 1 Elazzouzi, Abdelhai 1 Espitia, Nicolás 1 Fabbiano, Ruggero 1 Fernández-Cara, Enrique 1 Fernández, Luis Alberto 1 Fridman, Emilia 1 Friedmann, Tamar 1 Furtat, Igor B. 1 Gao, Peng 1 Garin, Federica 1 Gong, Wei 1 Grüne, Lars 1 Gugercin, Serkan 1 Gushchin, P. A. 1 Haak, Bernhard H. 1 Hetel, Laurentiu 1 Hintermüller, Michael 1 Hoang, Duc-Trung 1 Hou, Yinling 1 Iftime, Orest V. 1 Jaming, Philippe 1 Jiang, Zhengxian 1 Jin, Fengfei 1 Kanitsar, Martin 1 Karafyllis, Iasson 1 Kardous, Zohra 1 Kelley, Douglas H. 1 Khurshudyan, Asatur Zh. 1 Kilin, Aleksandr Aleksandrovich 1 Klenov, Anatoliĭ Igorevich 1 Komornik, Vilmos 1 Kunisch, Karl 1 Lamnabhi-Lagarrigue, Françoise 1 Lange, Horst ...and 61 more Authors
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#### Cited in 42 Serials

 12 SIAM Journal on Control and Optimization 11 International Journal of Control 9 Systems & Control Letters 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Automatica 7 International Journal of Applied Mathematics and Computer Science 6 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 4 Applied Mathematics Letters 4 Journal of Dynamical and Control Systems 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 European Journal of Control 3 Evolution Equations and Control Theory 2 Computers & Mathematics with Applications 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Optimization 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Regular and Chaotic Dynamics 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Numerical Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 SIAM Review 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 SIAM Journal on Scientific Computing 1 Annales Mathématiques Blaise Pascal 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Acta Mathematica Sinica. English Series 1 Journal of Evolution Equations 1 Journal of Systems Science and Complexity 1 Communications on Pure and Applied Analysis 1 Advances in Difference Equations 1 Mathematical Control and Related Fields 1 Minimax Theory and its Applications
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#### Cited in 19 Fields

 97 Systems theory; control (93-XX) 63 Partial differential equations (35-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Fluid mechanics (76-XX) 11 Mechanics of deformable solids (74-XX) 7 Biology and other natural sciences (92-XX) 5 Numerical analysis (65-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)