Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 673013, 16 pages
doi:10.1155/2010/673013
Optimal control of linear impulsive antiperiodic boundary value problem on infinite dimensional spaces
Jinrong Wang1
and Yanlong Yang2
1College of Science, Guizhou University, Guiyang, Guizhou 550025, China
2College of Technology, Guizhou University, Guiyang, Guizhou 550004, China
Abstract
A class of optimal control problems for infinite dimensional impulsive antiperiodic boundary value problem is considered. Using exponential stabilizability and discussing the impulsive evolution operators, without compactness and exponential stability of the semigroup governed by original principle operator, we present the existence of optimal controls. At last, an example is given for demonstration.