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Universal Journal of Mathematics and Mathematical Sciences

Universal Journal of Mathematics and Mathematical Sciences
Volume 5, Issue 2, Pages 77 - 92 (April 2014)

GLOBALLY EXPONENTIAL STABILITY OF IMPULSIVE SWITCHED SYSTEMS WITH CONTINUOUSLY DISTRIBUTED DELAYS

Chengyan Liu, Xiaodi Li and Haydar Akca

Abstract:

This paper studies the stability problem for a class of impulsive switched systems with continuously distributed delay. Based on some impulsive delay differential inequalities, a general criterion for the globally exponential stability is obtained. Finally, an example is given to illustrate the result.

Keywords and phrases:

impulsive switched systems, continuously distributed delays, globally exponential stability, inequality.

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