Dynamic programming principle of control systems on manifolds and its relations to maximum principle

DOI10.1016/j.jmaa.2015.09.014zbMath1327.49042OpenAlexW1429453323MaRDI QIDQ890544

Li Deng

Publication date: 10 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.09.014

zbMATH Keywords

Hamilton-Jacobi-Bellman equationviscosity solutionRiemannian manifoldPontryagin's maximum principledynamic programming principle

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Control/observation systems governed by ordinary differential equations (93C15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Optimality conditions for problems involving ordinary differential equations (49K15) Manifolds and measure-geometric topics (49Q99)

Related Items

Second order optimality conditions for optimal control problems on Riemannian manifolds ⋮ Second order necessary conditions for endpoints-constrained optimal control problems on Riemannian manifolds

Cites Work

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