Switching Signal Design for Exponential Stability of Uncertain Discrete-Time Switched Time-Delay Systems
Joint Authors
Liu, Zheng-Fan
Zou, Yun
Cai, Chen-Xiao
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The switching signal design for exponential stability with H∞ performance of uncertain switched linear discrete-time systems with interval time-varying delay is considered.
Systems with norm-bounded parameter uncertainties are considered.
By taking a new Lyapunov-Krasovskii (LK) function, sufficient conditions for the existence of a class of stabilizing switching laws are derived in terms of linear matrix inequalities (LMIs) to guarantee the considered switched time-delay system to be exponentially stable.
The resulting stability criteria are of fewer matrix variables and are less conservative than some existing ones.
In addition, numerical examples are illustrated to show the main improvement.
American Psychological Association (APA)
Liu, Zheng-Fan& Cai, Chen-Xiao& Zou, Yun. 2013. Switching Signal Design for Exponential Stability of Uncertain Discrete-Time Switched Time-Delay Systems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-470434
Modern Language Association (MLA)
Liu, Zheng-Fan…[et al.]. Switching Signal Design for Exponential Stability of Uncertain Discrete-Time Switched Time-Delay Systems. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-470434
American Medical Association (AMA)
Liu, Zheng-Fan& Cai, Chen-Xiao& Zou, Yun. Switching Signal Design for Exponential Stability of Uncertain Discrete-Time Switched Time-Delay Systems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-470434
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470434