Admissible relaxation in optimal control problems for infinite dimensional uncertain systems. (1992)

• Record Type: Journal Article
• Authors: Ahmed, N. U.; Xiang, X.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 3(1992)
• Page Start: 227
• Page End: 236
• Publication Date: 1992
• Subjects: uncertain evolution equation -- strongly nonlinear -- monotone operators -- optimal controls -- relaxed controls; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953392000194
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper we present a result on admissible relaxation for a class of systems governed by an uncertain evolution equation on Banach space. We show that the set of original trajectories is dense in the set of relaxed trajectories and that under certain assumptions the relaxed system is equivalent to the original system.