Lyapunov Functional for Multiple Delay General Lurie Systems with Multiple Non-linearities1

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.