Abstract and Applied Analysis
Volume 2010 (2010), Article ID 405321, 18 pages
doi:10.1155/2010/405321

A class of impulsive pulse-width sampler systems and its steady-state control in infinite dimensional spaces

Jinrong Wang1 , W. Wei1 and Yanlong Yang3

1College of Science, Guizhou University, Guiyang, Guizhou 550025, China
3College of Technology of Guizhou University, Guiyang, Guizhou 550004, China

Abstract

This paper investigates a class of impulsive pulse-width sampler systems and its steadystate control in the infinite dimensional spaces. Firstly, some definitions of pulse-width sampler systems with impulses are introduced. Then applying impulsive evolution operator and fixed point theorem, some existent results of steady-state of infinite dimensional linear and semilinear pulse-width sampler systems with impulses are obtained. An example to illustrate the theory is presented in the end.