Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay

Joint Authors

Tan, Qiranrong
Wu, Weigen
Yin, Xing
Li, Jun
Yuan, Jimin

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-12-06

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay.

Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems.

Simultaneously, arbitrary switched linear system can be expressed as a problem of uncertain liner system, so some delay-dependent stability criterions are obtained with the result of uncertain liner system.

Two examples illustrate the exactness of the proposed criterions.

American Psychological Association (APA)

Li, Jun& Wu, Weigen& Yuan, Jimin& Tan, Qiranrong& Yin, Xing. 2010. Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-464616

Modern Language Association (MLA)

Li, Jun…[et al.]. Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-16.
https://search.emarefa.net/detail/BIM-464616

American Medical Association (AMA)

Li, Jun& Wu, Weigen& Yuan, Jimin& Tan, Qiranrong& Yin, Xing. Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-464616

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-464616