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http://dx.doi.org/10.4134/JKMS.2009.46.5.1105

OPTIMAL PARAMETERS FOR A DAMPED SINE-GORDON EQUATION  

Ha, Jun-Hong (SCHOOL OF LIBERAL ARTS KOREA UNIVERSITY OF TECHNOLOGY AND EDUCATION)
Gutman, Semion (DEPARTMENT OF MATHEMATICS UNIVERSITY OF OKLAHOMA)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.5, 2009 , pp. 1105-1117 More about this Journal
Abstract
In this paper a parameter identification problem for a damped sine-Gordon equation is studied from the theoretical and numerical perspectives. A spectral method is developed for the solution of the state and the adjoint equations. The Powell's minimization method is used for the numerical parameter identification. The necessary conditions for the optimization problem are shown to yield the bang-bang control law. Numerical results are discussed and the applicability of the necessary conditions is examined.
Keywords
optimal control; necessary condition; bang-bang control law;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
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