Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay
Author
Source
Journal of Control Science and Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
This paper is concerned with robust stability of uncertain linear systems with interval time-varying delay.
The time-varying delay is assumed to belong to an interval, which means that the derivative of the time-varying delay has an upper bound or a restriction.
On other occasions, if we do not take restriction on the derivative of the time-varying delay into consideration, it allows the delay to be a fast time-varying function.
The uncertainty under consideration includes a polytopic-type uncertainty and a linear fractional norm-bounded uncertainty.
In order to obtain much less conservative results, a new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to derive some new stability criteria.
Numerical examples are given to demonstrate the effectiveness of the proposed stability criteria.
American Psychological Association (APA)
Li, Boren. 2011. Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay. Journal of Control Science and Engineering،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-509788
Modern Language Association (MLA)
Li, Boren. Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay. Journal of Control Science and Engineering No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-509788
American Medical Association (AMA)
Li, Boren. Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay. Journal of Control Science and Engineering. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-509788
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509788