A Carathéodory-Hamilton-Jacobi theory for infinite-horizon optimal control problems

DOI10.1007/BF00940673zbMath0559.49019MaRDI QIDQ2266224

Dean A. Carlson

Publication date: 1986

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Hamilton-Jacobi theoryinfinite-horizon optimal control problemscatching up optimalityequivalent variational problems

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Hamilton-Jacobi theories (49L99)

Related Items

On the existence of sporadically catching-up optimal solutions for infinite-horizon optimal control problems ⋮ Carathéodory's method for a class of second order differential equations on the half-line ⋮ The controllability of infinite horizon optimal control problems ⋮ Carathéodory's method for a class of dynamic games. ⋮ On the existence of catching-up optimal solutions for Lagrange problems defined on unbounded intervals ⋮ Nonconvex and relaxed infinite-horizon optimal control problems

Cites Work

• On recent existence theorems in the theory of optimization
• Existence and global asymptotic stability of optimal trajectories for a class of infinite-horizon, nonconvex systems
• Carathéodory-Hamilton-Jacobi theory for nonsmooth problems of Lagrange and problems of optimal control
• Existence theorems for general control problems of Bolza and Lagrange
• A note on the existence of an optimal capital accumulation in the continuous time horizon
• Remarks on some existence theorems for optimal control
• On Existence of Overtaking Optimal Trajectories Over an Infinite Time Horizon
• Convex Analysis
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