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Variational characterization of the uniqueness of the optimal state for the minimum-time problem

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Publication:1253802
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DOI10.1007/BF01686726zbMath0397.49023MaRDI QIDQ1253802

K. Appert

Publication date: 1980

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


zbMATH Keywords

Minimal-Time ProblemOptimal-Time FunctionProper Linear Control ProcessVariational Perturbations


Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Linear systems in control theory (93C05) Existence theories for optimal control problems involving ordinary differential equations (49J15)


Related Items (2)

Continuous dependence of optimal control to controlled domain of actuator for heat equation ⋮ On variational perturbations of control problems: Minimum-time problem and minimum-effort problem



Cites Work

  • Variational perturbations of the linear-quadratic problem
  • Convergence of convex sets and of solutions of variational inequalities
  • Functional analysis and time optimal control


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