Premium
Augmented Lyapunov functional and delay‐dependent stability criteria for neutral systems
Author(s) -
He Yong,
Wang QingGuo,
Lin Chong,
Wu Min
Publication year - 2005
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1039
Subject(s) - decoupling (probability) , corollary , weighting , control theory (sociology) , lyapunov function , stability (learning theory) , mathematics , exponential stability , lyapunov stability , computer science , nonlinear system , control (management) , engineering , control engineering , artificial intelligence , physics , quantum mechanics , machine learning , medicine , pure mathematics , radiology
In this paper, an augmented Lyapunov functional is proposed to investigate the asymptotic stability of neutral systems. Two methods with or without decoupling the Lyapunov matrices and system matrices are developed and shown to be equivalent to each other. The resulting delay‐dependent stability criteria are less conservative than the existing ones owing to the augmented Lyapunov functional and the introduction of free‐weighting matrices. The delay‐independent criteria are obtained as an easy corollary. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods. Copyright © 2005 John Wiley & Sons, Ltd.