The Open Cybernetics & Systemics Journal

2008, 2 : 20-23
Published online 2008 February 6. DOI: 10.2174/1874110X00802010020
Publisher ID: TOCSJ-2-20

Exponential Stability for Switched Systems with Mixed Time Delays

Chang-Hua Lien , Ker-Wei Yu , Yen-Feng Lin , Yeong-Jay Chung , Long-Yeu Chung and Jenq-Der Chen
Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung, Taiwan 811, Republic of China.

ABSTRACT

The global exponential stability problem for a class of switched systems with mixed time delays is investigated in this paper. LMI-based delay-dependent and delay-independent criteria are proposed to guarantee the exponential stability for our considered systems. Razumikhin-like approach and Leibniz-Newton formula are used to find the stability results. Finally, a numerical example is illustrated to show the improved results from using this method.

Keywords:

Global exponential stability, switched neutral system, LMI-based approach.