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论文类型：期刊论文
发表时间：2008-01-01
发表刊物：ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
收录刊物：SCIE
卷号：24
期号：1
页面范围：29-40
ISSN号：0168-9673
关键字：distributed parameter system; strong variation method; optimal control; adjoint system; semilinear parabolic equations
摘要：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.