Nonlinear dynamic systems and optimal control problems on time scales

DOI10.1051/cocv/2010022zbMath1223.37105OpenAlexW2041766343MaRDI QIDQ3170566

Yang Jiang, Yunfei Peng, Xiaoling Xiang

Publication date: 27 September 2011

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/221900

zbMATH Keywords

optimal controlweak solutionexistencesubdifferentialsnecessary conditions of optimalitytime scale

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Time series analysis of dynamical systems (37M10) Weak solutions to PDEs (35D30) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (9)

Stochastic linear quadratic control problem on time scales ⋮ Filippov-Pliss lemma for dynamical inclusions on a time scale ⋮ A discrete-time optimal filtering approach for non-linear systems as a stable discretization of the Mortensen observer ⋮ Hamilton-Jacobi theory over time scales and applications to linear-quadratic problems ⋮ Dynamic programming and Hamilton-Jacobi-Bellman equations on time scales ⋮ The existence of optimal controls for problems defined on time scales ⋮ An ergodic approach to Laplace transforms on time scales ⋮ Filippov's selection theorem and the existence of solutions for optimal control problems in time scales ⋮ Linear feedback of mean-field stochastic linear quadratic optimal control problems on time scales

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