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

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	483-501
Number of pages	19
Journal	Journal of Dynamical and Control Systems
Volume	19
Issue number	4
DOIs	https://doi.org/10.1007/s10883-013-9190-7
Publication status	Published - Oct 2013

Keywords

Carleman inequality
Fitzhugh-Nagumo equation
Optimality condition
Time optimal control

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10.1007/s10883-013-9190-7

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@article{86f7b2909fee4ac5bc16eeaa96b1b5af,

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",

month = oct,

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

language = "English",

volume = "19",

pages = "483--501",

journal = "Journal of Dynamical and Control Systems",

issn = "1079-2724",

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number = "4",

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TY - JOUR

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

AU - Zheng, Jiashan

AU - Wang, Yifu

PY - 2013/10

Y1 - 2013/10

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

VL - 19

SP - 483

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

Abstract

Keywords

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