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Stabilization with Relaxed Controls, Nonlinear Analysis,
1983, vol.7, pp.1163-1173.
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Local Stabilizability of Nonlinear Control Systems, World
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Lyapunov and Lagrange Stability: Inverse Theorems for
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Barabanova, N.N. and Subbotin, A.I., On Continuous Evasion
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On Classes of Strategies in Differential Games of Evasion, Prikl. Mat. Mekh., 1971, vol. 35, no. 3, pp. 385-392.
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Optimal Feedback Controls, SIAM J. Control Optim., 1989,
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Asymptotic Stability and Feedback Stabilization, in
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Some Characterizations of Optimal Trajectories in Control Theory,
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Optimization and Nonsmooth Analysis, New York:
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Methods of Dynamic and Nonsmooth Optimization, vol. 57 of
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Mean Value Inequalities in Hilbert Space, Trans. Amer.
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Feedback Stabilization and Lyapunov Functions, SIAM
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Asymptotic Controllability Implies Feedback
Stabilization, IEEE Trans. Automat. Control, 1997, vol. 42
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Qualitative Properties of Trajectories of Control
Systems: a survey, J. Dynam. Control Systems, 1995, vol. 1
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Universal Feedback Strategies for Differential Games of Pursuit,
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Universal Feedback Control via Proximal Aiming in Problems of
Control under Disturbance and Differential Games, Proc.
Steklov Inst. Math., 1999, vol. 224 pp. 165-186. Preliminary
version: Preprint CRM-2386, Univ. de Montreal, 1994.
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Proximal Analysis and Minimization Principles, J. Math. Anal.
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Feedback in State Constrained Control Problems, (to appear).
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Complements, Approximations, Smoothings and Invariance Properties,
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Nonsmooth Analysis and Control Theory, New
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Feedback Stabilization of Nonlinear Systems: Sufficient
Conditions and Lyapunov and Input-Output Techniques, in Trends in
Control, A. Isidori Ed., New York: Springer-Verlag.
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A Relation Between Continuous Time-Varying and Discontinuous
Feedback Stabilization, J. Math. Syst. Estim. Contr., 1994,
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Nondegenerate Necessary Conditions for Nonconvex Optimal Control
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Differential Equations with Discontinuous Right-Hand Side, Mat. Sb., 1960, vol. 5 pp. 99-127. English translation appears
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Robust Nonlinear Control Design, Birkhauser, 1996.
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Garnysheva, G.G. and Subbotin, A.I., Strategies for
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Garnysheva, G.G. and Subbotin, A.I., Suboptimal Universal
Strategies in a Game-Theoretic Time-Optimality Problem, J. Appl. Math. Mech., 1995, vol. 59, no. 5, pp. 677683.
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Discontinuous Vector Fields and Feedback Control, in
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Resonance, Stabilizing Feedback Controls, and Regularity of
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Nonlinear Control Systems, New York: Springer-Verlag, 1995,
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Differential Games. Approximate and Formal Models, Mat. Sb.
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Extremal Aiming and Extremal Displacement in a Game-Theoretical
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Upravlenie dinamicheskoi sistemoi (Control of a Dynamical
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Krasovskii, N.N. and Subbotin, A.I.,
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(Positional Differential Games), Moscow: Nauka, 1974.
(in Russian). Translated French under the title Jeux
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Krasovskii, N.N. and Subbotin, A.I., Game-Theoretical
Control Problems, New York-Berlin: Springer-Verlag, 1988.
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Stability Analysis of Nonlinear Systems, New York: Marcel
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A Remark on Robust Stabilization of General Asymptotically
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A Lyapunov Characterization of Robust Stabilization, Nonlinear Anal. TMA, 1999, vol. 37, pp. 813-840.
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One Approach to the Control of Uncertain Dynamical Systems, Appl. Math. Comput., 1995, vol. 70, pp. 261-272.
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A Smooth Converse Lyapunov Theorem for Robust Sstability, SIAM J. Contr. Optim., 1996, vol. 34, pp. 124-160.
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Optimal Control via Nonsmooth Analysis, CRM Proc. Lecture
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Universal Near-Optimal Feedbacks, J. Optim. Theory Applic,
(to appear).
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Synthesis of an Invariant Dynamic System with Program Control,
Izv. Akad. Nauk SSSR. Tekhn. Kibernet., 1981, no. 4,
pp. 202-205.
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Existence of Lipschitz and Semiconcave Control Lyapunov Functions.
I, Prepubl. L'Inst. Girard Desargues, Univ. Lyon, 1999,
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Construction of Optimal Feedback Controls, Systems Contr.
Lett., 1991, vol. 16, pp. 357-367.
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On Brockett's Condition for Smooth Sstabilizability and its
Necessity in a Context of Nonsmooth Feedback, SIAM J. Control
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A Lyapunov-Like Characterization of Asymptotic Controllability,
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Mathematical Control Theory: Deterministic Finite Dimensional
Systems, New York: Springer-Verlag, 1990.
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Nonsmooth Control-Lyapunov Functions, in Proc. IEEE Conf.
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Robust Control of Linear Systems and Nonlinear Ccontrol, in
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Subbotin, A. I., Generalized Solutions of First-Order
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Universal Optimal Strategies in Positional Differential Games,
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The Maximum Principle and the Superdifferential of the Value
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A Lyapunov Description of Stability in Control Systems, Nonlinear Anal., 1989, vol. 13, pp. 3-74.
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Necessary Conditions for Optimal Control Problems with State
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2003-08-05