Exponential Stabilizability of Switched Systems with Polytopic Uncertainties
Joint Authors
Gao, Yan
Zhang, Xia
Xia, Zun-quan
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-24
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The exponential stabilizability of switched nonlinear systems with polytopic uncertainties is explored by employing the methods of nonsmooth analysis and the minimum quadratic Lyapunov function.
The switchings among subsystems are dependent on the directional derivative along the vertex directions of subsystems.
In particular, a sufficient condition for exponential stabilizability of the switched nonlinear systems is established considering the sliding modes and the directional derivatives along sliding modes.
Furthermore, the matrix conditions of exponential stabilizability are derived for the case of switched linear system and the numerical example is given to show the validity of the synthesis results.
American Psychological Association (APA)
Zhang, Xia& Xia, Zun-quan& Gao, Yan. 2012. Exponential Stabilizability of Switched Systems with Polytopic Uncertainties. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993766
Modern Language Association (MLA)
Zhang, Xia…[et al.]. Exponential Stabilizability of Switched Systems with Polytopic Uncertainties. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-993766
American Medical Association (AMA)
Zhang, Xia& Xia, Zun-quan& Gao, Yan. Exponential Stabilizability of Switched Systems with Polytopic Uncertainties. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993766
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993766