Stability Analysis and H∞ Model Reduction for Switched Discrete-Time Time-Delay Systems
Joint Authors
Liu, Zheng-Fan
Duan, Wen-Yong
Cai, Chen-Xiao
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper is concerned with the problem of exponential stability and H∞ 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 with H∞ 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 an H∞ error performance is guaranteed.
Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.
American Psychological Association (APA)
Liu, Zheng-Fan& Cai, Chen-Xiao& Duan, Wen-Yong. 2014. Stability Analysis and H∞ Model Reduction for Switched Discrete-Time Time-Delay Systems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-446376
Modern Language Association (MLA)
Liu, Zheng-Fan…[et al.]. Stability Analysis and H∞ Model Reduction for Switched Discrete-Time Time-Delay Systems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-446376
American Medical Association (AMA)
Liu, Zheng-Fan& Cai, Chen-Xiao& Duan, Wen-Yong. Stability Analysis and H∞ Model Reduction for Switched Discrete-Time Time-Delay Systems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-446376
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446376