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

A Class of Impulsive Pulse-Width Sampler Systems and Its Steady-State Control in Infinite Dimensional Spaces

JinRong Wang,1 W. Wei,1 and YanLong Yang2

1College of Science, Guizhou University, Guiyang, Guizhou 550025, China
2College of Technology of Guizhou University, Guiyang, Guizhou 550004, China

Received 11 November 2009; Accepted 25 January 2010

Academic Editor: Paul Eloe

Copyright © 2010 JinRong Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.