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Time Optimal Controls of Semilinear Heat Equation with Switching Control

Author

Listed:
  • Lijuan Wang

    (Wuhan University)

  • Qishu Yan

    (Wuhan University)

Abstract

This paper is concerned with the bang-bang property of time optimal controls, governed by a semilinear heat equation in a bounded domain with switching controls acting locally into two open subsets. The proofs rely on an observability estimate from a positive measurable set in time for the linear heat equation, and a Kakutani fixed point argument.

Suggested Citation

  • Lijuan Wang & Qishu Yan, 2015. "Time Optimal Controls of Semilinear Heat Equation with Switching Control," Journal of Optimization Theory and Applications, Springer, vol. 165(1), pages 263-278, April.
    • Handle: RePEc:spr:joptap:v:165:y:2015:i:1:d:10.1007_s10957-014-0606-7
    DOI: 10.1007/s10957-014-0606-7
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    References listed on IDEAS

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    1. J. P. Raymond & H. Zidani, 1999. "Pontryagin's Principle for Time-Optimal Problems," Journal of Optimization Theory and Applications, Springer, vol. 101(2), pages 375-402, May.
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    Cited by:

    1. Jinman Lv & Zhenhua Peng & Zhongping Wan, 2021. "Optimality Conditions, Qualifications and Approximation Method for a Class of Non-Lipschitz Mathematical Programs with Switching Constraints," Mathematics, MDPI, vol. 9(22), pages 1-20, November.

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