Existence theorems for optimal control problems involving functional differential equations

DOI10.1007/BF00932473zbMath0198.20301MaRDI QIDQ2539930

Thomas S. Angell

Publication date: 1971

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

zbMATH Keywords

control theory

Related Items

On the necessary conditions for optimal control of retarded systems, Asymptotic stability for a class of delay differential inclusions, Existence theorems for optimal control problems in hereditary structures, Formulas for the variation of a solution and optimal control problems for differential equations with retarded arguments, Seminormality properties of convex sets, Some remarks on existence of optimal controls for Mayer problems with singular components, Existence, uniqueness, and continuous dependence for hereditary differential equations, The controllability problem for nonlinear Volterra systems, Nonlinear delay systems controllability, On the optimal control of systems governed by nonlinear Volterra equations, On the existence of an optimal element for a delay control problem, A Filippov-type lemma for functions involving delays and its application to time-delayed optimal control problem, On controllability for non-linear hereditary systems: A fixed-point approach, Functional inclusion and controllability of nonlinear neutral functional differential systems

Cites Work

• The controllability problem for nonlinear Volterra systems
• Remarks on some existence theorems for optimal control
• Optimization with partial differential equations in Dieudonne-Rashevsky form and conjugate problems
• Optimal control for hereditary processes
• On Certain Questions in the Theory of Optimal Control
• Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
• On Filippov's Implicit Functions Lemma
• On the Necessity of a Certain Convexity Condition for Lower Closure of Control Problems