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An improved stability criterion for systems with distributed 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.847
Subject(s) - discretization , convergence (economics) , stability (learning theory) , lyapunov function , stability criterion , mathematics , class (philosophy) , control theory (sociology) , grid , computer science , mathematical optimization , control (management) , nonlinear system , mathematical analysis , discrete time and continuous time , economic growth , statistics , physics , geometry , quantum mechanics , machine learning , artificial intelligence , economics
This article improves the formulation of discretized Lyapunov functional method for systems with distributed delays. The main idea is to apply Jensen's inequality and variable elimination in matrix inequalities. The resulting stability criterion is much simpler. Experience in numerical calculation indicates that it generally converges to the analytical result as grid size decreases, and the speed of convergence is much faster than the previous method. The new formulation is also applicable to a wider class of systems. Copyright © 2003 John Wiley & Sons, Ltd.