ANZIAM  J.  47 (2005), 203-235

A comparison principle and stability for large-scale impulsive delay differential systems

Xinzhi Liu   Department of Applied Mathematics   University of Waterloo   Waterloo   Ontario N2L 3G1   Canada     xzliu@math.uwaterloo.ca Xuemin Shen   Department of Electric and Computer Engineering   University of Waterloo   Waterloo   Ontario N2L 3G1   Canada   and Yi Zhang   Department of Applied Mathematics   University of Waterloo   Waterloo   Ontario N2L 3G1   Canada   xzliu@math.uwaterloo.ca   Also:   China University of Petroleum   Beijing 102249   China

Abstract

This paper studies the stability of large-scale impulsive delay differential systems and impulsive neutral systems. By developing some impulsive delay differential inequalities and a comparison principle, sufficient conditions are derived for the stability of both linear and nonlinear large-scale impulsive delay differential systems and impulsive neutral systems. Examples are given to illustrate the main results.

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