Existence of optimal control without convexity and a bang-bang theorem for linear Volterra equations

DOI10.1007/BF00934052zbMath0305.49022MaRDI QIDQ1217336

Thomas S. Angell

Publication date: 1976

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

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Methods involving semicontinuity and convergence; relaxation (49J45) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Volterra integral equations (45D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items

Optimal control of state constrained integral equations, Optimal control problem governed by a highly nonlinear singular Volterra equation: Existence of solutions and maximum principle, Unnamed Item, Relaxed inf-compactness for variational problems by Hilbert cube compactification, On the optimal control and relaxation of nonlinear infinite dimensional systems, The controllability problem for nonlinear Volterra systems, Optimal control of a system governed by Volterra integral equations, Existence theorems without convexity assumptions for optimal control problems governed by parabolic and elliptic systems, Optimization of Functional Integral Equations: A Spectral Approach, Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle, Existence of solutions of multi-valued Urysohn integral equations, Existence results without convexity conditions for general problems of optimal control with singular components

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