a Department of Electrical Engineering, Hail College, King Fahd University of Petroleum and Minerals, P.O. Box 2440 Hail, Saudi Arabia b Department of Mathematics, Elizabeth City State University, NC 27909, USA
Abstract:
In this paper, bounded-real conditions for affine nonlinear state-delayed systems are derived using the concept of dissipativeness. Necessary and sufficient conditions for the system to be dissipative and to have finite L2-gain also referred to as the bounded-real condition are given. The implications on the stability of the system and feedback interconnections of such systems are also considered. Finally, an equivalent of the positive-real lemma is derived and its implications on stability of the system and feedback interconnections of such systems are similarly discussed.