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September 17, 2025ESAIM Control Optimisation and Calculus of Variations

Second-order optimality conditions for time-optimal control problems governed by semilinear parabolic equations

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Authors

BKB. T. KienHKH. V. KhanhARArnd Rösch

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Overview

Analysis of optimality conditions in time-optimal control problems governed by semilinear parabolic equations, highlighting KKT-type criteria.

Key Points

  • Necessary and sufficient optimality conditions are derived for time-optimal control problems with mixed constraints.
  • Second-order sufficient conditions ensure the regularity of Lagrange multipliers in the optimization framework.
  • KKT-type conditions provide a basis for analyzing locally optimal solutions in control problems.
  • The study addresses semilinear parabolic equations which are fundamental in control theory.

Cite This Study

Kien et al. (2025) studied this question.

synapsesocial.com/papers/68d4604731b076d99fa5f953https://doi.org/10.1051/cocv/2025075
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