Premium
A Necessary and Sufficient Condition for Stabilization of Switched Descriptor Time‐Delay Systems Under Arbitrary Switching
Author(s) -
Zhao Jiemei,
Zhang Lijun,
Qi Xue
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1018
Subject(s) - impulse (physics) , control theory (sociology) , quadratic equation , linear matrix inequality , stability (learning theory) , mathematics , computer science , mathematical optimization , control (management) , physics , geometry , quantum mechanics , artificial intelligence , machine learning
Abstract In this paper, a necessary and sufficient condition for generalized quadratic stabilization of switched descriptor time‐delay (SDT) systems under arbitrary switching is investigated. Based on the linear matrix inequality (LMI) method, some results are given: (i) the SDT system is regular, impulse‐free, and stable under arbitrary switching; (ii) the necessary and sufficient condition for switched generalized quadratic stability (stabilization) of the uncertain SDT systems is derived. Finally, a numerical example is provided to illustrate the effectiveness of the method.