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Lyapunov Functional for Multiple Delay General Lurie Systems with Multiple Non-linearities

✍ Scribed by Zuoxin Gan; Weigao Ge

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 103 KB
Volume: 259
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7433

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✦ Synopsis

In this paper, the absolute stability problem of a multiple delay general Lurie control system with multiple non-linearities is considered. Necessary and sufficient conditions are obtained for the existence of the Lyapunov functional of extended Lurie form with negative definite derivative. From those conditions, a very general algebraic criterion for absolute stability is obtained, which extends the previous results. A concise example illustrates the effectiveness of the present results.

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