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Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay
Joint Authors
Dong, Yali
Wang, Xueli
Mei, Shengwei
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-12
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The problem of robust exponential stabilization for dynamical nonlinear systems with uncertainties and time-varying delay is considered in the paper.
By constructing the proposed Lyapunov-Krasovskii functional approach, continuous state feedback controllers are put forward, and the criteria which guarantee the exponential stabilization of the nonlinear systems with uncertainties and time-varying delay are established in terms of solutions to the standard Riccati differential equations.
Furthermore, based on the Lyapunov method and the linear matrix inequality approach, the sufficient conditions of exponential stability for a class of uncertain systems with time-varying delays and nonlinear perturbations are derived.
Finally, two numerical examples are given to demonstrate the validity of the results.
American Psychological Association (APA)
Dong, Yali& Mei, Shengwei& Wang, Xueli. 2011. Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-512292
Modern Language Association (MLA)
Dong, Yali…[et al.]. Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay. Abstract and Applied Analysis No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-512292
American Medical Association (AMA)
Dong, Yali& Mei, Shengwei& Wang, Xueli. Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-512292
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512292