Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System
Joint Authors
Xu, Daoyun
Peng, Dingtao
Yu, Jian
Liu, Zixin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper proposes a new delay-depended stability criterion for a class of delayed Lur'e systems with sector and slope restricted nonlinear perturbation.
The proposed method employs an improved Wirtinger-type inequality for constructing a new Lyapunov functional with triple integral items.
By using the convex expression of the nonlinear perturbation function, the original nonlinear Lur'e system is transformed into a linear uncertain system.
Based on the Lyapunov stable theory, some novel delay-depended stability criteria for the researched system are established in terms of linear matrix inequality technique.
Three numerical examples are presented to illustrate the validity of the main results.
American Psychological Association (APA)
Liu, Zixin& Yu, Jian& Xu, Daoyun& Peng, Dingtao. 2013. Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-498602
Modern Language Association (MLA)
Liu, Zixin…[et al.]. Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-498602
American Medical Association (AMA)
Liu, Zixin& Yu, Jian& Xu, Daoyun& Peng, Dingtao. Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-498602
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498602