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A novel approach to exponential stability of nonlinear systems with time-varying delays

✍ Scribed by Song Xueli; Peng Jigen

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 212 KB
Volume: 235
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.09.011

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✦ Synopsis

In this paper, the stability of nonlinear systems with time-varying delays is investigated by means of the concepts of generalized Dahlquist constant, generalized relative Dahlquist constant and relative minimal Lipschitz constant. In detail, two sufficient conditions are derived for the exponential stability of nonlinear systems with time-varying delays and the exponential decay of the solutions is also estimated. Compared with some existing results, our stability conditions are less conservative. Some examples are given to illustrate the effectiveness of the obtained results.

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