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Stability analysis of uncertain switched singular time‐delay systems with discrete and distributed delays
Author(s) -
Zamani Iman,
Shafiee Masoud
Publication year - 2013
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2097
Subject(s) - dwell time , control theory (sociology) , exponential stability , stability (learning theory) , discrete time and continuous time , mathematics , class (philosophy) , algebraic number , computer science , control (management) , mathematical analysis , medicine , clinical psychology , statistics , physics , nonlinear system , quantum mechanics , artificial intelligence , machine learning
Summary The issues of stability analysis of a class of continuous uncertain switched singular time‐delay systems consisting of discrete and distributed delays is investigated in this paper. Based on the LMIs, constructing the new extended Lyapunov‐like Krasovskii functional, and the average dwell‐time approach, delay‐dependent sufficient conditions are derived to check the stability of such systems. By solving the corresponding LMIs, the average dwell‐time and switching signal condition are obtained. This paper also highlights the relationship between the average dwell‐time of the switched singular time‐delay system, exponential rate of differential, and algebraic states. Two numerical examples show the effectiveness of the proposed design method. Copyright © 2013 John Wiley & Sons, Ltd.