✦ LIBER ✦

Lyapunov function of general Lurie systems with multiple nonlinearities

✍ Scribed by Zuoxin Gan; Jingqing Han

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 427 KB
Volume: 16
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(02)00153-2

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✦ Synopsis

In this paper, the absolute stability problem of general Lurie control system with multiple nonlinearities is investigated. Some new necessary and sufficient conditions are obtained for the existence of Lyapunov function of extended Lurie form with negative definite and negative semidefinite derivatives. From these conditions, some very general algebraic criteria for absolute stability are obtained, which extend and generalize previous work on the subject. A numerical example is presented to illustrate the effectiveness of the new criteria. (~) 2002 Elsevier Science Ltd. All rights reserved.

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