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<i>H</i><sub>∞</sub> Finite-Time Control for Switched Linear Systems with Time-Varying Delay

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Author(s): Hao Liu | Yi Shen

Journal: Intelligent Control and Automation
ISSN 2153-0653

Volume: 02;
Issue: 03;
Start page: 203;
Date: 2011;
Original page

Keywords: Switched System | Time-Delay | H∞ Finite-Time Boundedness | ADT

ABSTRACT
Finite-time boundedness and H∞ finite-time boundedness of switched linear systems with time-varying delay and exogenous disturbances are addressed. Based on average dwell time (ADT) and free-weight matrix technologies, sufficient conditions which can ensure finite-time boundedness and H∞ finite-time boundedness are given. And then in virtue of the results on finite-time boundedness, the state memory feedback controller is designed to H∞ finite-time stabilize a time-delay switched system. These conditions are given in terms of LMIs and are delay-dependent. An example is given to illustrate the efficiency of the proposed method.
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