Edit Profile (opens in new tab) Shubov, Viktor Isaakovich Co-Author Distance Author ID: shubov.victor-i Published as: Shubov, V. I.; Shubov, Victor I.; Shubov, Victor; Shubov, V.; Subov, V. I. more...less Homepage: https://www.uml.edu/sciences/mathematics/faculty/shubov-victor.aspx External Links: MGP · Wikidata · Math-Net.Ru · dblp Documents Indexed: 43 Publications since 1973 Co-Authors: 15 Co-Authors with 26 Joint Publications 873 Co-Co-Authors all top 5 Co-Authors 17 single-authored 19 Gilliam, David S. 15 Byrnes, Christopher Ian 4 Martin, Clyde Franklin 3 Hu, Changbing 2 Banks, Harvey Thomas 2 Burns, John A. 2 Isidori, Alberto 2 Ladyzhenskaya, Ol’ga Aleksandrovna 2 Laukó, István G. 1 Allen, Edward James 1 Hill, James Murray 1 Hu, Xiaoming 1 Shubov, Marianna A. 1 Weiss, George 1 Xu, Zaichao all top 5 Serials 7 Journal of Soviet Mathematics 7 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 4 Mathematical and Computer Modelling 3 International Journal of Robust and Nonlinear Control 3 Journal of Mathematical Systems, Estimation, and Control 2 Applied Mathematics and Computation 2 Journal of Dynamical and Control Systems 1 Journal of the Franklin Institute 1 Teoreticheskaya i Matematicheskaya Fizika 1 Theoretical and Mathematical Physics 1 Functional Analysis and its Applications 1 IEEE Transactions on Automatic Control 1 Differential and Integral Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 20 Partial differential equations (35-XX) 17 Systems theory; control (93-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Ordinary differential equations (34-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 262 times in 205 Documents Cited by ▼ Year ▼ Output regulation for linear distributed parameter systems. Zbl 1056.93552 Byrnes, Christopher I.; Laukó, István G.; Gilliam, David S.; Shubov, Victor I. 78 2000 Regular linear systems governed by a boundary controlled heat equation. Zbl 1010.93052 Byrnes, C. I.; Gilliam, D. S.; Shubov, V. I.; Weiss, G. 34 2002 Global solvability for damped abstract nonlinear hyperbolic systems. Zbl 0892.47063 Banks, H. T.; Gilliam, D. S.; Shubov, V. I. 26 1997 On the global dynamics of a controlled viscous Burgers’ equation. Zbl 0943.35080 Byrnes, Ch. I.; Gilliam, D. S.; Shubov, V. I. 20 1998 Stationary solutions for a boundary controlled Burgers’ equation. Zbl 0967.93051 Balogh, A.; Gilliam, D. S.; Shubov, V. I. 13 2001 Well-posedness for a one dimensional nonlinear beam. Zbl 0833.93028 Banks, H. T.; Gilliam, David S.; Shubov, Victor I. 10 1995 Numerical stationary solutions for a viscous Burgers’ equation. Zbl 0892.35134 Burns, J.; Balogh, A.; Gilliam, D. S.; Shubov, V. I. 10 1998 Zero dynamics modeling and boundary feedback design for parabolic systems. Zbl 1141.93033 Byrnes, C. I.; Gilliam, D. S.; Isidori, A.; Shubov, V. I. 7 2006 Boundary control for a viscous Burgers’ equation. Zbl 0795.93058 Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I. 7 1993 Zero dynamics boundary control for regulation of the Kuramoto-Sivashinsky equation. Zbl 1202.93061 Byrnes, C. I.; Gilliam, D. S.; Hu, C.; Shubov, V. I. 7 2010 Boundary control, stabilization and zero-pole dynamics for a nonlinear distributed parameter system. Zbl 0949.93038 Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I. 6 1999 Asymptotic regulation for distributed parameter systems via zero dynamics inverse design. Zbl 1273.93142 Byrnes, C. I.; Gilliam, D. S.; Hu, C.; Shubov, V. I. 5 2013 The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations. Zbl 1060.65116 Allen, E.; Burns, J.; Gilliam, D.; Hill, Joe D.; Shubov, V. 4 2002 On the unique solvability of the Cauchy problem for equations of two- dimensional relativistic chiral fields with values in complete Riemannian manifolds. Zbl 0482.58011 Ladyzhenskaya, O. A.; Shubov, V. I. 4 1981 Stability of a flexible structure with destabilizing boundary conditions. Zbl 1371.74132 Shubov, M.; Shubov, V. 4 2016 Unique solvability of the Cauchy problem for the equations of the two- dimensional relativistic chiral fields, taking values in complete Riemann manifolds. Zbl 0531.58017 Ladyzhenskaya, O. A.; Shubov, V. I. 3 1984 Harmonic forcing for linear distributed parameter systems. Zbl 0906.93028 Byrnes, C. I.; Gilliam, D. S.; Laukó, I. G.; Shubov, V. I. 3 1998 High gain limits of trajectories and attractors for a boundary controlled viscous Burgers’ equation. Zbl 0856.93048 Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I. 2 1996 Steady state response to Burgers’ equation with varying viscosity. Zbl 0841.35101 Byrnes, C. I.; Gilliam, David S.; Shubov, Victor I.; Xu, Zaichao 2 1995 On the unique solvability of the Cauchy problem for the equations of motion of discrete analogs of multidimensional chiral fields taking values on compact symmetric spaces. Zbl 0493.70027 Shubov, V. I. 2 1982 Set-point boundary control for a viscous Burgers equation. Zbl 1203.93103 Byrnes, C. I.; Gilliam, D. S.; Isidori, A.; Shubov, V. I. 2 2005 Unique solvability of the Cauchy problem for the equations of discrete multidimensional chiral fields, taking values of the unit sphere. Zbl 0528.70019 Shubov, V. I. 1 1984 Unique solvability of the Cauchy problem for the equations of discrete chiral fields with values in Riemannian manifolds. Zbl 0567.58024 Shubov, V. I. 1 1985 Dynamics of infinite classical anharmonic systems with constraints. Zbl 0612.58016 Shubov, V. I. 1 1987 Probability measures, Appell polynomials and polynomial approximation. Zbl 0763.41005 Martin, Clyde; Shubov, Victor 1 1993 Natural exponential families of probability distributions and exponential-polynomial approximation. Zbl 0797.41008 Martin, Clyde; Shubov, Victor 1 1993 Subsets of a Hilbert space, having finite Hausdorff dimension. Zbl 0696.46021 Shubov, V. I. 1 1990 Stability of a flexible structure with destabilizing boundary conditions. Zbl 1371.74132 Shubov, M.; Shubov, V. 4 2016 Asymptotic regulation for distributed parameter systems via zero dynamics inverse design. Zbl 1273.93142 Byrnes, C. I.; Gilliam, D. S.; Hu, C.; Shubov, V. I. 5 2013 Zero dynamics boundary control for regulation of the Kuramoto-Sivashinsky equation. Zbl 1202.93061 Byrnes, C. I.; Gilliam, D. S.; Hu, C.; Shubov, V. I. 7 2010 Zero dynamics modeling and boundary feedback design for parabolic systems. Zbl 1141.93033 Byrnes, C. I.; Gilliam, D. S.; Isidori, A.; Shubov, V. I. 7 2006 Set-point boundary control for a viscous Burgers equation. Zbl 1203.93103 Byrnes, C. I.; Gilliam, D. S.; Isidori, A.; Shubov, V. I. 2 2005 Regular linear systems governed by a boundary controlled heat equation. Zbl 1010.93052 Byrnes, C. I.; Gilliam, D. S.; Shubov, V. I.; Weiss, G. 34 2002 The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations. Zbl 1060.65116 Allen, E.; Burns, J.; Gilliam, D.; Hill, Joe D.; Shubov, V. 4 2002 Stationary solutions for a boundary controlled Burgers’ equation. Zbl 0967.93051 Balogh, A.; Gilliam, D. S.; Shubov, V. I. 13 2001 Output regulation for linear distributed parameter systems. Zbl 1056.93552 Byrnes, Christopher I.; Laukó, István G.; Gilliam, David S.; Shubov, Victor I. 78 2000 Boundary control, stabilization and zero-pole dynamics for a nonlinear distributed parameter system. Zbl 0949.93038 Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I. 6 1999 On the global dynamics of a controlled viscous Burgers’ equation. Zbl 0943.35080 Byrnes, Ch. I.; Gilliam, D. S.; Shubov, V. I. 20 1998 Numerical stationary solutions for a viscous Burgers’ equation. Zbl 0892.35134 Burns, J.; Balogh, A.; Gilliam, D. S.; Shubov, V. I. 10 1998 Harmonic forcing for linear distributed parameter systems. Zbl 0906.93028 Byrnes, C. I.; Gilliam, D. S.; Laukó, I. G.; Shubov, V. I. 3 1998 Global solvability for damped abstract nonlinear hyperbolic systems. Zbl 0892.47063 Banks, H. T.; Gilliam, D. S.; Shubov, V. I. 26 1997 High gain limits of trajectories and attractors for a boundary controlled viscous Burgers’ equation. Zbl 0856.93048 Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I. 2 1996 Well-posedness for a one dimensional nonlinear beam. Zbl 0833.93028 Banks, H. T.; Gilliam, David S.; Shubov, Victor I. 10 1995 Steady state response to Burgers’ equation with varying viscosity. Zbl 0841.35101 Byrnes, C. I.; Gilliam, David S.; Shubov, Victor I.; Xu, Zaichao 2 1995 Boundary control for a viscous Burgers’ equation. Zbl 0795.93058 Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I. 7 1993 Probability measures, Appell polynomials and polynomial approximation. Zbl 0763.41005 Martin, Clyde; Shubov, Victor 1 1993 Natural exponential families of probability distributions and exponential-polynomial approximation. Zbl 0797.41008 Martin, Clyde; Shubov, Victor 1 1993 Subsets of a Hilbert space, having finite Hausdorff dimension. Zbl 0696.46021 Shubov, V. I. 1 1990 Dynamics of infinite classical anharmonic systems with constraints. Zbl 0612.58016 Shubov, V. I. 1 1987 Unique solvability of the Cauchy problem for the equations of discrete chiral fields with values in Riemannian manifolds. Zbl 0567.58024 Shubov, V. I. 1 1985 Unique solvability of the Cauchy problem for the equations of the two- dimensional relativistic chiral fields, taking values in complete Riemann manifolds. Zbl 0531.58017 Ladyzhenskaya, O. A.; Shubov, V. I. 3 1984 Unique solvability of the Cauchy problem for the equations of discrete multidimensional chiral fields, taking values of the unit sphere. Zbl 0528.70019 Shubov, V. I. 1 1984 On the unique solvability of the Cauchy problem for the equations of motion of discrete analogs of multidimensional chiral fields taking values on compact symmetric spaces. Zbl 0493.70027 Shubov, V. I. 2 1982 On the unique solvability of the Cauchy problem for equations of two- dimensional relativistic chiral fields with values in complete Riemannian manifolds. Zbl 0482.58011 Ladyzhenskaya, O. A.; Shubov, V. I. 4 1981 all cited Publications top 5 cited Publications all top 5 Cited by 281 Authors 20 Guo, Bao-Zhu 10 Paunonen, Lassi 9 Dubljevic, Stevan S. 9 Gilliam, David S. 9 Shubov, Viktor Isaakovich 8 Banks, Harvey Thomas 7 Guo, Wei 7 Xu, Xiaodong 7 Zhou, Hua-Cheng 6 Pohjolainen, Seppo A. 5 Jin, Fengfei 5 Liu, Weijiu 5 Pinter, Gabriella A. 5 Shao, Zhichao 5 Wang, Junmin 4 Byrnes, Christopher Ian 4 Guiver, Chris 4 Immonen, Eero 4 Krstić, Miroslav 4 Liu, Weiwei 4 Smaoui, Nejib 3 Ackleh, Azmy S. 3 Aulisa, Eugenio 3 Chai, Shugen 3 Chen, Guowang 3 Chentouf, Boumediène 3 Fridman, Emilia 3 Huang, Jie 3 Kundu, Sudeep 3 Liu, Junjun 3 Logemann, Hartmut 3 Pani, Amiya Kumar 3 Zhao, Ren-Xi 3 Zhu, Guchuan 2 Alalabi, Ala’ 2 Burns, John A. 2 Deutscher, Joachim 2 Di, Huafei 2 Fan, Engui 2 Hu, Changbing 2 Huhtala, Konsta 2 Jacob, Birgit 2 Ji, Haibo 2 Kalantarov, Varga K. 2 Koch, Charles Robert 2 Laakkonen, Petteri 2 Li, Yijing 2 Meng, Tingting 2 Morris, Kirsten A. 2 Musante, Cynthia J. 2 Natarajan, Vivek 2 Nguyen Huy Tuan 2 Opmeer, Mark R. 2 Pathiranage, Thanuka W. 2 Reis, Timo 2 Selig, Tilman 2 Shang, Yadong 2 Shubov, Marianna A. 2 Song, Changming 2 Wang, Xinghu 2 Weiss, George 2 Wen, Ruili 2 Xie, Junyao 2 Yan, Yamin 2 Yang, Kaijun 2 Yang, Zhijian 2 Yu, Jiali 2 Yuen, Manwai 2 Zhang, Zhixiong 2 Zheng, Jun 1 Aamo, Ole Morten 1 Aassila, Mohammed 1 Agrawal, Om Prakash 1 Aksikas, Ilyasse 1 Al-Jamal, Rasha H. 1 Allag, I. 1 Allen, Edward James 1 Ammari, Kais 1 An, Hongli 1 Anfinsen, Henrik 1 Assaf, David 1 Au, Vo Van 1 Avram, Florin 1 Azmi, Behzad 1 Bastin, Georges 1 Bekiaris-Liberis, Nikolaos 1 Benia, Yassine 1 Bentsman, Joseph 1 Berke, Venkatramana P. 1 Bialy, Brendan J. 1 Biswas, Anjan 1 Boulite, Said 1 Bounit, Hamid 1 Bouslous, Hammadi 1 Brivadis, Lucas 1 Brzeźniak, Zdzisław 1 Buchot, Jean-Marie 1 Burago, Yuriĭ Dmitrievich 1 Cai, Kaiyuan 1 Can, Nguyen Huu ...and 181 more Authors all top 5 Cited in 77 Serials 19 Automatica 12 Journal of Mathematical Analysis and Applications 12 International Journal of Robust and Nonlinear Control 10 International Journal of Control 10 SIAM Journal on Control and Optimization 10 Systems & Control Letters 10 MCSS. Mathematics of Control, Signals, and Systems 7 Mathematical Methods in the Applied Sciences 7 European Journal of Control 6 Journal of Differential Equations 5 Journal of Soviet Mathematics 5 Applied Mathematics Letters 5 Mathematical and Computer Modelling 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of the Franklin Institute 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Quarterly of Applied Mathematics 2 Applied Mathematics and Computation 2 Kybernetika 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Scientific Computing 2 International Journal of Adaptive Control and Signal Processing 2 Bulletin of the American Mathematical Society. New Series 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Problems in Engineering 2 Journal of Dynamical and Control Systems 2 Nonlinear Analysis. Real World Applications 2 Journal of Systems Science and Complexity 2 Asian Journal of Control 1 Applicable Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 The Annals of Probability 1 The Annals of Statistics 1 Fuzzy Sets and Systems 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Insurance Mathematics & Economics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Advances in Computational Mathematics 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Matematicheskoe Modelirovanie 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Complex Analysis and Operator Theory 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 Mathematical Modelling of Natural Phenomena 1 Afrika Matematika 1 Mathematical Control and Related Fields 1 Evolution Equations and Control Theory 1 Nonlinear Analysis. Theory, Methods & Applications 1 Control Theory and Technology 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics all top 5 Cited in 31 Fields 137 Systems theory; control (93-XX) 110 Partial differential equations (35-XX) 19 Mechanics of deformable solids (74-XX) 15 Numerical analysis (65-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Operator theory (47-XX) 10 Ordinary differential equations (34-XX) 8 Fluid mechanics (76-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.