Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:259

Article

Gan, ZX ; Ge, WG

关键词: general Lurie system;    delay;    multiple non-linearities;    absolute stability;    Lyapunov functional;   

DOI  :  10.1006/jmaa.2001.7433

来源: Elsevier

【 摘 要 】

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. (C) 2001 Academic Press.

【 授权许可】

Free