OPTIMAL PARAMETERS FOR A DAMPED SINE-GORDON EQUATION Ha, Jun-Hong; Gutman, Semion;
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.
optimal control;necessary condition;bang-bang control law;