Hits:

Date:2019-03-10

Indexed by:Journal Article

Date of Publication:2008-01-01

Journal:ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

Included Journals:SCIE

Volume:24

Issue:1

Page Number:29-40

ISSN:0168-9673

Key Words:distributed parameter system; strong variation method; optimal control; adjoint system; semilinear parabolic equations

Abstract:In this paper, an optimal control problem governed by semilinear parabolic equation which involves the control variable acting on forcing term and coefficients appearing in the higher order derivative terms is formulated and analyzed. The strong variation method, due originally to Mayne et al to solve the optimal control problem of a lumped parameter system, is extended to solve an optimal control problem governed by semilinear parabolic equation, a necessary condition is obtained, the strong variation algorithm for this optimal control problem is presented, and the corresponding convergence result of the algorithm is verified.