The linear quadratic optimal control problem for hereditary differential systems: Theory and numerical solution

DOI10.1007/BF01441963zbMath0404.49010OpenAlexW2039157294MaRDI QIDQ1256726

Michel C. Delfour

Publication date: 1977

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01441963

zbMATH Keywords

FeedbackNumerical SolutionHereditary Differential SystemsLinear Quadratic Optimal Control Problem

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control problems for functional-differential equations (34K35) Existence theories in calculus of variations and optimal control (49J99) Numerical methods in optimal control (49M99)

Related Items

Optimal control of linear retarded systems in Banach spaces, SOLUTION OF A DELAYED INFORMATION LINEAR PURSUIT-EVASION GAME WITH BOUNDED CONTROLS, Discontinuous Galerkin Methods for Ordinary Differential Equations, Stabilization of linear autonomous systems of differential equations with distributed delay, Minimum energy control of time delay systems via piecewise linear polynomial functions, Discretized Lyapunov-Krasovskii functional for coupled differential-difference equations with multiple delay channels, State theory of linear hereditary differential systems, Euclidean controllable realizations of linear hereditary systems, A finite difference technique for solving optimization problems governed by linear functional differential equations, Variational approximations in energy space for the regular problem with time delay, F-reduction of the operator Riccati equation for hereditary differential systems, Spline approximations for linear nonautonomous delay systems, Linear optimal control of systems with state and control variable delays, Asymptotic solution of a boundary-value problem for linear singularly-perturbed functional differential equations arising in optimal control theory, Delay differential equations with unbounded operators acting on delay terms

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