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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.
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참고문헌 (11)
참고문헌 신청
A. R. Bishop / 1983 / Influence of solitons in the initial state on chaos in the driven damped sine-Gordon system / Phys. D 7 (1) : 259 ~ 279
B. Mercier / 1989 / An Introdution to the Numerical Analysis of Spectral Methods / Lecture Notes in Physis 318
J. Ha / 1998 / Existence and regularity of weak solutions for semilinear second order evolution equations / Funkcial. Ekvac. 41 (1) : 1 ~ 24
Junhong Ha / 2002 / Identification problems of damped sine-Gordon equations with constant parameters / 대한수학회지 39 (4) : 509 ~ 524
Junhong Ha / 2004 / Identification problems for the system governed by abstract nonlinea damped second order evolutione quations / 대한수학회지 41 (3) : 435 ~ 459
B. Mercier / 1989 / An Introdution to the Numerical Analysis of Spectral Methods / Lecture Notes in Physis 318
J. Ha / 1998 / Existence and regularity of weak solutions for semilinear second order evolution equations / Funkcial. Ekvac. 41 (1) : 1 ~ 24
Junhong Ha / 2002 / Identification problems of damped sine-Gordon equations with constant parameters / 대한수학회지 39 (4) : 509 ~ 524
Junhong Ha / 2004 / Identification problems for the system governed by abstract nonlinea damped second order evolutione quations / 대한수학회지 41 (3) : 435 ~ 459
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