Search Results - "Samsonyuk, O. N."
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1
Invariant sets for the nonlinear impulsive control systems
Published in Automation and remote control (01-03-2015)“…The nonlinear impulsive control system with trajectories of bounded variation is considered. The notions of strong and weak V -invariance of a closed set…”
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Journal Article -
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A maximum principle for smooth optimal impulsive control problems with multipoint state constraints
Published in Computational mathematics and mathematical physics (01-06-2009)“…A nonlinear optimal impulsive control problem with trajectories of bounded variation subject to intermediate state constraints at a finite number on nonfixed…”
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Optimization of impulsive control systems with intermediate state constraints
Published in Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) (01-01-2021)“…In this paper, we consider an optimal impulsive control problem with intermediate state constraints. The peculiarity of the problem consists in a non-standard…”
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4
Feedback Minimum Principle for Impulsive Processes
Published in Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) (01-01-2018)“…We consider an optimal impulsive control problem with a terminal functional and trajectories of bounded variation. The control system we consider has a…”
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Impulsive Control Systems with Trajectories of Bounded p-Variation
Published in Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) (01-01-2017)“…The paper deals with impulse-trajectory relaxations of control-affine systems under the assumption that $L_1$-norms of the control functions are not uniformly…”
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The Canonical Theory of the Impulse Process Optimality
Published in Journal of mathematical sciences (New York, N.Y.) (10-06-2014)“…The paper is devoted to the development of the canonical theory of the Hamilton–Jacobi optimality for nonlinear dynamical systems with controls of the vector…”
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Hamilton-Jacobi inequalities in control problems for impulsive dynamical systems
Published in Proceedings of the Steklov Institute of Mathematics (01-12-2010)“…We propose definitions of strong and weak monotonicity of Lyapunov-type functions for nonlinear impulsive dynamical systems that admit vector measures as…”
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Journal Article -
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Approximation results for impulsive control systems with hysteresis
Published in 2018 14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) (STAB) (01-05-2018)“…In this paper, impulsive control systems described by measure-driven differential equations with rate independent hysteresis are considered. Approximation…”
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Conference Proceeding -
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Necessary optimality conditions for optimal impulsive control problems with hysteresis
Published in 2018 14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) (STAB) (01-05-2018)“…We study a class of optimal control problems for measure-driven differential equations with rate independent hysteresis. The hysteresis is modeled by an…”
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Conference Proceeding