Mathematical Problems in Engineering 
Volume 1 (1995), Issue 3, Pages 179-191
doi:10.1155/S1024123X95000123

Necessary conditions of optimality for infinite dimensional uncertain systems

N. U. Ahmed1 and X. Xiang2

 1Department of Electrical Engineering and Department of Mathematics, University of Ottawa, Ottawa K1N 6N5, Ontario, Canada
2Department of Mathematics, Guizhou University, Guiyang, Guizhou, China
Received 10 November 1994

Abstract

In this paper we consider optimal control problem for infinite dimensional uncertain systems. Necessary conditions of optimality are presented under the assumption that the principal operator is the infinitesimal generator of a strongly continuous semigroup of linear operators in a reflexive Banach space. Further, a computational algorithm suitable for computing the optimal policies is also given.