Stability Results for Switched Linear Systems with Constant Discrete Delays
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-03-05
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
This paper investigates the stability properties of switched systems possessing several parameterizations (or configurations) while being subject to internal constant point delays.
Some of the stability results are formulated based on Gronwall's lemma for global exponential stability, and they are either dependent on or independent of the delay size but they depend on the switching law through the requirement of a minimum residence time.
Another set of results concerned with the weaker property of global asymptotic stability is also obtained as being independent of the switching law, but still either dependent on or independent of the delay size, since they are based on the existence of a common Krasovsky-Lyapunov functional for all the above-mentioned configurations.
Extensions to a class of polytopic systems and to a class of regular time-varying systems are also discussed.
American Psychological Association (APA)
de La Sen, Manuel& Ibeas, A.. 2009. Stability Results for Switched Linear Systems with Constant Discrete Delays. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-28.
https://search.emarefa.net/detail/BIM-480175
Modern Language Association (MLA)
de La Sen, Manuel& Ibeas, A.. Stability Results for Switched Linear Systems with Constant Discrete Delays. Mathematical Problems in Engineering No. 2008 (2008), pp.1-28.
https://search.emarefa.net/detail/BIM-480175
American Medical Association (AMA)
de La Sen, Manuel& Ibeas, A.. Stability Results for Switched Linear Systems with Constant Discrete Delays. Mathematical Problems in Engineering. 2009. Vol. 2008, no. 2008, pp.1-28.
https://search.emarefa.net/detail/BIM-480175
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480175