Circuits, Systems, and Signal Processing

, Volume 32, Issue 1, pp 61–81

Stability Analysis and Synthesis of Discrete Impulsive Switched Systems with Time-Varying Delays and Parameter Uncertainty

Article

DOI: 10.1007/s00034-012-9444-8

Cite this article as:
Zhang, Z. & Liu, X. Circuits Syst Signal Process (2013) 32: 61. doi:10.1007/s00034-012-9444-8

Abstract

This paper studies the problem of stability and stabilization for discrete impulsive switched systems with time-varying delays and norm-bounded parameter uncertainty. By using the Lyapunov–Krasovskii functional technique and the method of linear matrix inequalities (LMIs), some delay-dependent criteria on asymptotic stability are established. A stabilization condition using feedback control is formulated to stabilize the closed-loop system. Some numerical examples are given to illustrate the main results.

Keywords

Delay-dependentLyapunov–Krasovskii functionalDiscrete impulsive switched system

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Statistics and Applied MathematicsHubei University of EconomicsWuhanChina
  2. 2.Department of Applied MathematicsUniversity of WaterlooWaterlooCanada