Use of a nonlinear clock in the perturbation analysis of time optimal control problems

DOI10.1016/0771-050X(75)90010-8zbMath0324.49011MaRDI QIDQ1224779

James L. Kaplan, Marvin I. Freedman

Publication date: 1975

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

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

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• Formal asymptotic solution of a singularly perturbed nonlinear optimal control problem
• Perturbation analysis of an optimal control problem involving bang-bang controls
• Boundary layer methods for certain nonlinear singularity perturbed optimal control problems
• Singular perturbation method for near optimum design of high-order non- linear systems
• Singular perturbation of the time-invariant linear state regulator problem
• Existence and dependence on a parameter of solutions of a nonlinear two point boundary value problem
• Singular perturbation of linear regulators: Basic theorems
• Singular Perturbations of Two-Point Boundary Value Problems Arising in Optimal Control
• The Singularly Perturbed Linear State Regulator Problem

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