首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Approximation of relaxed nonlinear parabolic optimal control problems
Authors:I Chryssoverghi  A Bacopoulos
Institution:(1) Department of Mathematics, National Technical University, Athens, Greece
Abstract:We consider a relaxed optimal control problem for systems defined by nonlinear parabolic partial differential equations with distributed control. The problem is completely discretized by using a finite-element approximation scheme with piecewise linear states and piecewise constant controls. Existence of optimal controls and necessary conditions for optimality are derived for both the continuous and the discrete problem. We then prove that accumulation points of sequences of discrete optimal resp. extremal] controls are optimal resp. extremal] for the continuous problem.
Keywords:Optimal control  nonlinear parabolic systems  discretization  approximation  relaxed controls  distributed systems
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号