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A piecewise analysis method to stability analysis of linear continuous/discrete systems with time‐varying delay
Author(s) -
Yue Dong,
Tian Engang,
Zhang Yijun
Publication year - 2008
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.1399
Subject(s) - stability (learning theory) , piecewise , piecewise linear function , interval (graph theory) , control theory (sociology) , mathematics , discrete time and continuous time , variation (astronomy) , computer science , control (management) , mathematical analysis , statistics , physics , combinatorics , machine learning , artificial intelligence , astrophysics
The delay‐dependent stability problem of linear continuous/discrete systems with time‐varying delay is investigated based on a piecewise analysis method (PAM). In the method, the variation interval of the time delay is firstly divided into several subintervals. By checking the variation of the Lyapunov functional in every subinterval, some new delay‐dependent stability criteria are derived. Several numerical examples show that our method can lead to much less conservative results than those in the existing references. Moreover, when the number of the divided subintervals increases, the corresponding criteria can provide an improvement on the results. Copyright © 2008 John Wiley & Sons, Ltd.