Dynamic programming principle of control systems on manifolds and its relations to maximum principle
Author:
Funder
Fundamental Research Funds for the Central Universities
National Natural Science Foundation of China
Publisher
Elsevier BV
Subject
Applied Mathematics,Analysis
Reference28 articles.
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2. Viscosity solutions to second order partial differential equations on Riemannian manifolds;Azagra;J. Differential Equations,2008
3. The Pontryagin maximum principle from dynamic programming and viscosity solutions to first-order partial differential equations;Barron;Trans. Amer. Math. Soc.,1986
4. Dynamic Programming: With a New Introduction by Stuart Dreyfus;Bellman,2010
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1. A Survey of Optimal Control Problems Evolved on Riemannian Manifolds;CSIAM Transactions on Applied Mathematics;2022-06
2. Optimal Control of Lossy Energy Storage Systems With Nonlinear Efficiency Based on Dynamic Programming and Pontryagin's Minimum Principle;IEEE Transactions on Energy Conversion;2021-03
3. Second order necessary conditions for endpoints-constrained optimal control problems on Riemannian manifolds;Journal of Differential Equations;2021-01
4. Second order optimality conditions for optimal control problems on Riemannian manifolds;ESAIM: Control, Optimisation and Calculus of Variations;2019
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