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

In this paper, the absolute stability problem of a multiple delay general L urie control system with multiple non-linearities is considered. Necessary and sufficient conditions are obtained for the existence of the Lyapunov fu nctional of extended Lurie form with negative definite derivative. From tho se conditions, a very general algebraic criterion for absolute stability is obtained, which extends the previous results. A concise example illustrate s the effectiveness of the present results. (C) 2001 Academic Press.