Optimal control problems on manifolds: A dynamic programming approach

DOI10.1016/S0022-247X(03)00535-3zbMath1029.49025MaRDI QIDQ1414178

Richard B. Vinter, I. Chryssochoos

Publication date: 19 November 2003

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

zbMATH Keywords

optimal controlnonsmooth analysisnonlinear controldynamic programmingHamilton-Jacobi equationdifferentiable manifolds

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Nonsmooth analysis (49J52) Applications of variational problems to control theory (58E25)

Related Items

Trajectories of differential inclusions on Riemannian manifolds and invariance ⋮ Dynamic programming principle of control systems on manifolds and its relations to maximum principle ⋮ Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems on Hadamard manifolds ⋮ Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds ⋮ Optimal control problems on manifolds: A dynamic programming approach ⋮ Legendre transform and applications to finite and infinite optimization ⋮ Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds ⋮ Pareto optimization of resonances and minimum-time control ⋮ Nonsmooth analysis on smooth manifolds

Cites Work

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• Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
• Introdction to Measure and Probability
• Viability theory
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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