On the existence of sporadically catching-up optimal solutions for infinite-horizon optimal control problems

DOI10.1007/BF00939215zbMath0596.49004MaRDI QIDQ1078502

Dean A. Carlson

Publication date: 1987

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

zbMATH Keywords

convexityinfinite-horizon optimal control problemsseminormalityexistence of sporadically catching-up optimal solutions

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Existence and structure of extremals for one-dimensional nonautonomous variational problems

Cites Work

• Unnamed Item
• Existence and global asymptotic stability of optimal trajectories for a class of infinite-horizon, nonconvex systems
• Criteria of optimality in the infinite-time optimal control problem
• On the existence of catching-up optimal solutions for Lagrange problems defined on unbounded intervals
• Existence theorems for Lagrange control problems with unbounded time domain
• Existence theorems for general control problems of Bolza and Lagrange
• Optimal control on an infinite time horizon
• A Carathéodory-Hamilton-Jacobi theory for infinite-horizon optimal control problems
• Remarks on some existence theorems for optimal control
• Necessary Conditions for Optimal Control Problems with Infinite Horizons
• On Existence of Overtaking Optimal Trajectories Over an Infinite Time Horizon
• Convex Analysis

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