Improved Delay-Dependent Robust Stability Criteria for a Class of Uncertain Neutral Type Lur’e Systems with Discrete and Distributed Delays
Joint Authors
Zhang, Yuping
Zhu, Hong
Shi, Kaibo
Zeng, Yong
Zhong, Shouming
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper is concerned with the problem of delay-dependent robust stability analysis for a class of uncertain neutral type Lur’e systems with mixed time-varying delays.
The system has not only time-varying uncertainties and sector-bounded nonlinearity, but also discrete and distributed delays, which has never been discussed in the previous literature.
Firstly, by employing one effective mathematical technique, some less conservative delay-dependent stability results are established without employing the bounding technique and the mode transformation approach.
Secondly, by constructing an appropriate new type of Lyapunov-Krasovskii functional with triple terms, improved delay-dependent stability criteria in terms of linear matrix inequalities (LMIs) derived in this paper are much brief and valid.
Furthermore, both nonlinearities located in finite sector and infinite one have been also fully taken into account.
Finally, three numerical examples are presented to illustrate lesser conservatism and the advantage of the proposed main results.
American Psychological Association (APA)
Shi, Kaibo& Zhu, Hong& Zhong, Shouming& Zeng, Yong& Zhang, Yuping. 2014. Improved Delay-Dependent Robust Stability Criteria for a Class of Uncertain Neutral Type Lur’e Systems with Discrete and Distributed Delays. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-513189
Modern Language Association (MLA)
Shi, Kaibo…[et al.]. Improved Delay-Dependent Robust Stability Criteria for a Class of Uncertain Neutral Type Lur’e Systems with Discrete and Distributed Delays. Mathematical Problems in Engineering No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-513189
American Medical Association (AMA)
Shi, Kaibo& Zhu, Hong& Zhong, Shouming& Zeng, Yong& Zhang, Yuping. Improved Delay-Dependent Robust Stability Criteria for a Class of Uncertain Neutral Type Lur’e Systems with Discrete and Distributed Delays. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-513189
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513189