Some applications of Hamilton-Jacobi inequalities for classical and impulsive optimal control problems
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Publication:431775
DOI10.3166/ejc.17.55-69zbMath1248.49029OpenAlexW2064147698MaRDI QIDQ431775
Ol'ga Nikolaevna Samsonyuk, Vladimir Aleksandrovich Dykhta
Publication date: 3 July 2012
Published in: European Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3166/ejc.17.55-69
Hamilton-Jacobi inequalitiesglobal optimality conditionsestimates of reachable sets and integral funnels of trajectoriesLyapunov type functions
Optimality conditions for problems involving partial differential equations (49K20) Impulsive optimal control problems (49N25)
Related Items (19)
Applications of Lyapunov type functions for optimization problems in impulsive control systems ⋮ Construction of the reachable set for a two-dimensional bilinear impulsive control system ⋮ Extension technology and extrema selections in a stochastic multistart algorithm for optimal control problems ⋮ Optimality conditions for optimal impulsive control problems with multipoint state constraints ⋮ Pontryagin's maximum principle for optimal impulsive control problems ⋮ Feedback synthesis for a terminal control problem ⋮ Optimal control problems with states of bounded variation and hysteresis ⋮ Existence of an optimal control for systems of differential equations with pulse action at nonfixed times ⋮ Construction of set-valued estimates of reachable sets for some nonlinear dynamical systems with impulsive control ⋮ Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations ⋮ Positional minimum principle for impulsive processes ⋮ Hamilton-Jacobi inequalities in control problems for impulsive dynamical systems ⋮ Invariant sets for the nonlinear impulsive control systems ⋮ Synthesis of optimal switched systems ⋮ Variable Time Impulse System Optimization with Continuous Control and Impulse Control ⋮ The canonical theory of the impulse process optimality ⋮ Numeric algorithm for optimal impulsive control based on feedback maximum principle ⋮ Synthesis of optimal discrete automaton-type systems in the case of multiple instantaneous switchings ⋮ On asymptotic properties of solutions of control systems with random parameters
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