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Time Optimal Control of Semilinear Control Systems Involving Time Delays

Author

Listed:
  • Jin-Mun Jeong

    (Pukyong National University)

  • Sang-Jin Son

    (Pukyong National University)

Abstract

This paper investigates the time optimal control problem to a target set for semilinear control systems involving time delays or memories when a principal operator is unbounded by the construction of a fundamental solution and an easy consequence of the definition of real interpolation spaces. A convergence theorem of time optimal controls for the given semilinear retarded system to a point target set is also given.

Suggested Citation

  • Jin-Mun Jeong & Sang-Jin Son, 2015. "Time Optimal Control of Semilinear Control Systems Involving Time Delays," Journal of Optimization Theory and Applications, Springer, vol. 165(3), pages 793-811, June.
    • Handle: RePEc:spr:joptap:v:165:y:2015:i:3:d:10.1007_s10957-014-0639-y
    DOI: 10.1007/s10957-014-0639-y
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    Cited by:

    1. Surendra Kumar, 2017. "Mild Solution and Fractional Optimal Control of Semilinear System with Fixed Delay," Journal of Optimization Theory and Applications, Springer, vol. 174(1), pages 108-121, July.
    2. Yong Han Kang & Jin-Mun Jeong, 2021. "Time-Optimal Control for Semilinear Stochastic Functional Differential Equations with Delays," Mathematics, MDPI, vol. 9(16), pages 1-12, August.

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