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Delay‐dependent dissipativity analysis and synthesis of switched delay systems
Author(s) -
Mahmoud Magdi S.
Publication year - 2010
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.1573
Subject(s) - dwell time , dissipative system , control theory (sociology) , class (philosophy) , exponential stability , stability (learning theory) , mathematics , matrix (chemical analysis) , computer science , nonlinear system , control (management) , physics , medicine , quantum mechanics , artificial intelligence , machine learning , composite material , clinical psychology , materials science
In this paper, we study the problem of dissipative analysis for a class of switched systems with time‐varying delays. Sufficient conditions for dissipativity are developed for a class of switching signals with average dwell time. These conditions express delay‐dependent exponential stability and are provided in terms of linear matrix inequalities (LMIs). It is shown that the derived results encompass some available results on ℋ ∞ approach and arbitrary switching case. Numerical examples are given to illustrate the developed results. Copyright © 2010 John Wiley & Sons, Ltd.