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SIMPLE INSTABILITY CRITERION FOR A CLASS OF SINGULAR SYSTEMS WITH MULTIPLE TIME DELAYS
Author(s) -
Sun YeongJeu
Publication year - 2007
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 - 10.1111/j.1934-6093.2007.tb00311.x
Subject(s) - instability , simple (philosophy) , class (philosophy) , control theory (sociology) , stability criterion , mathematics , circle criterion , singular solution , computer science , discrete time and continuous time , exponential stability , mathematical analysis , nonlinear system , physics , mechanics , control (management) , statistics , philosophy , epistemology , quantum mechanics , artificial intelligence
In this paper, the instability for a class of singular systems with discrete and distributed time delays is investigated. Simple instability criterion, which is a delay‐dependent criterion, is derived to guarantee the instability of such systems. Finally, a numerical example is given to illustrate the use of the main result.