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Properties of solutions of parametric time-optimal problems in a neighborhood of an abnormal point

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Publication:731557
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DOI10.1134/S001226610906010XzbMath1171.93020MaRDI QIDQ731557

O. I. Kostyukova, Ekaterina Kostina

Publication date: 8 October 2009

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



Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)




Cites Work

  • Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
  • Directional derivatives of optimal solutions in smooth nonlinear programming
  • Analysis of properties of the solutions to parametric time-optimal problems
  • Abnormal equality-constrained optimization problems: sensitivity theory
  • Optimality, stability, and convergence in nonlinear control
  • Generalized implicit function theorem and its application to parametric optimal control problems
  • Lipschitzian Stability for State Constrained Nonlinear Optimal Control
  • A Tree-based analysis of a family of augmented systems for the computation of singular points
  • Sensitivity analysis for optimal control problems subject to higher order state constraints
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