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Refined discretized Lyapunov functional method for systems with multiple delays
Author(s) -
Gu Keqin
Publication year - 2003
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.750
Subject(s) - discretization , lyapunov function , stability (learning theory) , mathematics , variable (mathematics) , control theory (sociology) , computer science , control (management) , mathematical analysis , nonlinear system , artificial intelligence , physics , quantum mechanics , machine learning
The previously proposed discretized Lyapunov functional method for systems with multiple delay is refined using variable elimination and Jensen inequality. The resulting new stability criterion is simpler. Numerical examples indicate that the new method is much less conservative for a given discretization mesh. Copyright © 2003 John Wiley & Sons, Ltd.