Time optimal controls of the Fitzhugh-Nagumo equation with internal control

Jiashan Zheng; Yifu Wang

doi:10.1007/s10883-013-9190-7

Time optimal controls of the Fitzhugh-Nagumo equation with internal control

Jiashan Zheng^*
, Yifu Wang

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	483-501
页数	19
期刊	Journal of Dynamical and Control Systems
卷	19
期	4
DOI	https://doi.org/10.1007/s10883-013-9190-7
出版状态	已出版 - 10月 2013

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10.1007/s10883-013-9190-7

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title = "Time optimal controls of the Fitzhugh-Nagumo equation with internal control",

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.",

keywords = "Carleman inequality, Fitzhugh-Nagumo equation, Optimality condition, Time optimal control",

author = "Jiashan Zheng and Yifu Wang",

year = "2013",

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doi = "10.1007/s10883-013-9190-7",

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T1 - Time optimal controls of the Fitzhugh-Nagumo equation with internal control

AU - Zheng, Jiashan

AU - Wang, Yifu

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N2 - 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.

AB - 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.

KW - Carleman inequality

KW - Fitzhugh-Nagumo equation

KW - Optimality condition

KW - Time optimal control

UR - https://www.scopus.com/pages/publications/84887228129

U2 - 10.1007/s10883-013-9190-7

DO - 10.1007/s10883-013-9190-7

M3 - Article

AN - SCOPUS:84887228129

SN - 1079-2724

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EP - 501

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 4

ER -

Time optimal controls of the Fitzhugh-Nagumo equation with internal control

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