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STABILITY ROBUSTNESS ANALYSIS OF UNCERTAIN DISCRETE-TIME DESCRIPTOR SYSTEMS
Chun-Hsiung Fang* and Li Lee**
* Department of Electrical Engineering,
National Kaohsiung University of Applied Sciences,
Kaohsiung 807, TAIWAN
E-mail: chfang@mail.ee.kuas.edu.tw
** Department of Electrical Engineering,
National Sun Yat-Sen University,
Kaohsiung, 804, TAIWAN
E-mail:leeli@mail.ee.nsysu.edu.tw
The stability robustness problem of uncertain discrete-time descriptor systems is investigated. Uncertainties appear not only in the state matrix but also in the advanced state matrix. Through checking the feasibility of a strict linear matrix inequality problem, the robust stability of the uncertain system can be easily determined. The proposed result also gives a sufficient condition for the existence of a parameter-dependent Lyapunov function for such uncertain systems.
Keywords: Descriptor systems, robust stability, linear matrix inequalities, linear system, uncertainties
Session slot T-Tu-A18: Descriptor and implicit systems/Area code 2b : Linear Systems
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