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Time Optimal Controls of the Fitzhugh–Nagumo Equation with Internal Control

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Abstract

This paper is concerned with the time optimal control problem governed by the internal controlled Fitzhugh–Nagumo equation. We prove the existence of optimal controls. Moreover, we give necessary optimality conditions for an optimal control of our original problem by using one of the approximate problems.

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Authors and Affiliations

  1. School of Mathematics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    Jiashan Zheng & Yifu Wang

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  1. Jiashan Zheng
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  2. Yifu Wang
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Correspondence to Jiashan Zheng.

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Zheng, J., Wang, Y. Time Optimal Controls of the Fitzhugh–Nagumo Equation with Internal Control. J Dyn Control Syst 19, 483–501 (2013). https://doi.org/10.1007/s10883-013-9190-7

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  • DOI: https://doi.org/10.1007/s10883-013-9190-7

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