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A finite-time stability theorem of stochastic nonlinear systems and stabilization designs

Yin, Juliang, Khoo, Suiyang and Man, Zhihong 2011, A finite-time stability theorem of stochastic nonlinear systems and stabilization designs, in ICIEA 2011 : Proceedings of the 2011 6th IEEE Conference on Industrial Electronics and Applications, IEEE, Piscataway, N.J., pp. 1288-1292.

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Title A finite-time stability theorem of stochastic nonlinear systems and stabilization designs
Author(s) Yin, Juliang
Khoo, Suiyang
Man, Zhihong
Conference name IEEE Conference on Industrial Electronics and Applications (6th : 2011 : Beijing, China)
Conference location Beijing, China
Conference dates 21-23 June 2011
Title of proceedings ICIEA 2011 : Proceedings of the 2011 6th IEEE Conference on Industrial Electronics and Applications
Editor(s) [unknown]
Publication date 2011
Conference series IEEE Conference on Industrial Electronics and Applications
Start page 1288
End page 1292
Total pages 5
Publisher IEEE
Place of publication Piscataway, N.J.
Summary This paper focuses on the finite-time stability and stabilization designs of stochastic nonlinear systems. We first present and discuss a definition on the finite-time stability in probability of stochastic nonlinear systems, then we introduce a stochastic Lyapunov theorem on the finite-time stability, which has been established by Yin et al. We also employ this theorem to design a continuous state feedback controller that makes a class of stochastic nonlinear systems to be stable in finite time. An example and a simulation are given to illustrate the theoretical analysis.
ISBN 1424487552
9781424487554
Language eng
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
090602 Control Systems, Robotics and Automation
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category E1 Full written paper - refereed
HERDC collection year 2011
Copyright notice ©2011, IEEE
Persistent URL http://hdl.handle.net/10536/DRO/DU:30041165

Document type: Conference Paper
Collection: School of Engineering
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Created: Mon, 26 Dec 2011, 00:56:30 EST by Sui Yang Khoo

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