Electron. J. Diff. Equ., Vol. 2014 (2014), No. 262, pp. 1-21.

Practical stability of linear switched impulsive system with time delay

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.

Show me the PDF file (350 KB), TEX file, and other files for this article.

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

Return to the EJDE web page