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Perturbation analysis of an optimal control problem involving bang-bang controls

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Publication:1238305
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DOI10.1016/0022-0396(77)90177-2zbMath0358.49011OpenAlexW2060008723MaRDI QIDQ1238305

James L. Kaplan, Marvin I. Freedman

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90177-2



Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)


Related Items

Singular perturbations in optimal control problems ⋮ Time-optimal control algorithm for two-time-scale discrete system ⋮ Use of a nonlinear clock in the perturbation analysis of time optimal control problems ⋮ A perturbation method applied to the buckling of a compressed elastica



Cites Work

  • Boundary layer methods for certain nonlinear singularity perturbed optimal control problems
  • Existence and dependence on a parameter of solutions of a nonlinear two point boundary value problem
  • Singular Perturbations of Two-Point Boundary Value Problems Arising in Optimal Control
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