Stability Results for Switched Linear Systems with Constant Discrete Delays

Joint Authors

Ibeas, A.
de La Sen, Manuel

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

Civil Engineering

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