Convergence of the solution of the linear singularly perturbed problem of time-optimal response

DOI10.1016/0021-8928(79)90098-4zbMath0442.49006OpenAlexW1539340237MaRDI QIDQ1143632

T. R. Gichev, Asen L. Dontchev

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8928(79)90098-4

zbMATH Keywords

singular perturbationstime-optimal response

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Linear systems in control theory (93C05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Singular perturbations for ordinary differential equations (34E15) Model systems in control theory (93C99)

Related Items

Singular perturbations in optimal control problems, Asymptotics of the optimal time in a time-optimal control problem with a small parameter, On a singularly perturbed time-optimal control problem with two small parameters, Asymptotics of a solution to a singularly perturbed time-optimal control problem, Unnamed Item, Asymptotic representation of a solution to a singular perturbation linear time-optimal problem, An algorithm for the asymptotic solution of a singularly perturbed linear time-optimal control problem, Asymptotics of the optimal time in a time-optimal problem with two small parameters, Singular perturbations and time-scale methods in control theory: Survey 1976-1983, Singular perturbations in linear control systems with weakly coupled stable and unstable fast subsystems

Cites Work

• Controllability and time-optimal control of systems with slow and fast modes
• On the Correctness of the Formulation of an Optimal Control Problem
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