Shao'e Li, Weizhen Feng
Abstract:
This article concerns the study of practical stability of linear switched
impulsive systems with time delay. By using Lyapunov functions and
the extended Halanay inequality, we establish sufficient conditions for
the practical stability and uniform practical stability of a linear switched
impulsive system with time delay. The last section provides some
illustrative examples.
Submitted August 25, 2014. Published December 17, 2014.
Math Subject Classifications: 34K45, 34K34, 34D99.
Key Words: Linear switched impulsive system with time delay; practical stability;
Halanay inequality.
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Shao'e Li School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: a15017509268@163.com | |
Weizhen Feng School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: Fengweizhen2@126.com |
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