THE TIME OPTIMAL CONTROL OF PARABOLIC INTEGRODIFFERENTIAL EQUATION IN REACTOR DYNAMICS

In this paper, we first study the lack of global null controllability and the local null controllability respectively. Based on the null controllability, we establish the existence of the time optimal control for nonlinear parabolic integrodifferential equations with internal distributive control. 2...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 18; no. 2; pp. 409 - 417
Main Authors Tao, Qiang, Yao, Zheng-An
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.04.2014
Subjects
Differential equations
Eigenfunctions
Mathematical constants
Mathematical functions
Mathematics
Nuclear reactor control
Nuclear reactors
Time optimal control
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ISSN1027-5487
2224-6851
DOI10.11650/tjm.18.2014.2791

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Summary:In this paper, we first study the lack of global null controllability and the local null controllability respectively. Based on the null controllability, we establish the existence of the time optimal control for nonlinear parabolic integrodifferential equations with internal distributive control. 2010Mathematics Subject Classification: 93B05, 45K05, 93C20. Key words and phrases: Parabolic equation, Integrodifferential equation, Time optimal control, Controllability.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm.18.2014.2791