Technical communique: On the bounded-real and positive-real conditions for affine nonlinear state-delayed systems and applications to stability

Authors:
M. D. S. Aliyu;J. Luttamaguzi
Affiliations:
Department of Electrical Engineering, Hail College, King Fahd University of Petroleum and Minerals, P.O. Box 2440 Hail, Saudi Arabia and Department of Mathematics, Elizabeth City State University, ...;Department of Electrical Engineering, Hail College, King Fahd University of Petroleum and Minerals, P.O. Box 2440 Hail, Saudi Arabia and Department of Mathematics, Elizabeth City State University, ...
Venue:
Automatica (Journal of IFAC)
Year:
2006

Citing 5
Cited 0

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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 L"2-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.