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

Published online by Cambridge University Press:  17 February 2009

Xinzhi Liu ,
Xuemin Shen  and
Yi Zhang
Xinzhi Liu
Affiliation:
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada; e-mail: [email protected].
Xuemin Shen
Affiliation:
Department of Electric and Computer Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.
Yi Zhang
Affiliation:
Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada; e-mail: [email protected]. China University of Petroleum, Beijing 102249, China.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 2 , October 2005 , pp. 203 - 235
Copyright
Copyright © Australian Mathematical Society 2005

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