Optimal control of damped Klein–Gordon equations with state constraints

In this paper, we study the maximum principles for optimal control problems governed by the damped Klein–Gordon equations with state constraints. And we prove the existence of the optimal parameter and deduce the necessary conditions on the optimal parameter.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2007-10, Vol.334 (1), p.11-27
Main Authors: Park, Jong Yeoul, Jeong, Jae Ug
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Damped Klein–Gordon equation
Exact sciences and technology
Mathematical analysis
Mathematics
Maximum principle
Optimal control
Partial differential equations
Sciences and techniques of general use
State constraint
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Description
Summary:In this paper, we study the maximum principles for optimal control problems governed by the damped Klein–Gordon equations with state constraints. And we prove the existence of the optimal parameter and deduce the necessary conditions on the optimal parameter.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2006.12.042