4.6 Article

Uniform asymptotic stability of impulsive discrete systems with time delay

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 74, Issue 15, Pages 4941-4950

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2011.04.040

Keywords

Impulsive system; Time delay; Uniform stability; Uniform asymptotic stability

Funding

  1. NSERC Canada

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This paper studies impulsive discrete systems with time delay. Some novel criteria on uniform asymptotic stability are established by using the method of Lyapunov functions and the Razumikhin-type technique. Examples are presented to illustrate the criteria. (C) 2011 Elsevier Ltd. All rights reserved.

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