Further Results on the Stability Analysis of Singular Systems with Time-Varying Delay : A Delay Decomposition Approach
Author
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper deals with the problem of stability analysis for singular systems with time-varying delay.
By developing a delay decomposition approach, information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs), which can be easily solved by various optimization algorithms.
The merits of the proposed results lie in their less conservatism which is realized by choosing different Lyapunov matrices in the decomposed intervals and taking the information of the delayed plant states into full consideration.
It is proved that the newly proposed criteria may introduce less conservatism than some existing ones.
Meanwhile, the computational complexity of the presented stability criteria is reduced greatly since fewer decision variables are involved.
Numerical examples are included to show that the proposed method is effective and can provide less conservative results.
American Psychological Association (APA)
Liu, Pin-Lin. 2013. Further Results on the Stability Analysis of Singular Systems with Time-Varying Delay : A Delay Decomposition Approach. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-493332
Modern Language Association (MLA)
Liu, Pin-Lin. Further Results on the Stability Analysis of Singular Systems with Time-Varying Delay : A Delay Decomposition Approach. International Journal of Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-493332
American Medical Association (AMA)
Liu, Pin-Lin. Further Results on the Stability Analysis of Singular Systems with Time-Varying Delay : A Delay Decomposition Approach. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-493332
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493332