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Stability Analysis andH∞Model Reduction for Switched Discrete-Time Time-Delay Systems
- Source :
- Mathematical Problems in Engineering. 2014:1-15
- Publication Year :
- 2014
- Publisher :
- Hindawi Limited, 2014.
-
Abstract
- This paper is concerned with the problem of exponential stability andH∞model reduction of a class of switched discrete-time systems with state time-varying delay. Some subsystems can be unstable. Based on the average dwell time technique and Lyapunov-Krasovskii functional (LKF) approach, sufficient conditions for exponential stability withH∞performance of such systems are derived in terms of linear matrix inequalities (LMIs). For the high-order systems, sufficient conditions for the existence of reduced-order model are derived in terms of LMIs. Moreover, the error system is guaranteed to be exponentially stable and anH∞error performance is guaranteed. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.
Details
- ISSN :
- 15635147 and 1024123X
- Volume :
- 2014
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi...........2f6fc5e059582edc8c852d10be025d66