Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013 (2013), Article ID 439482, 8 pages.
Further Result on Finite-Time Stabilization of Stochastic Nonholonomic Systems
This paper further investigates the problem of finite-time state feedback stabilization for a class of stochastic nonholonomic systems in chained form. Compared with the existing literature, the stochastic nonholonomic systems under investigation have more uncertainties, such as the -subsystem contains stochastic disturbance. This renders the existing finite-time control methods highly difficult to the control problem of the systems or even inapplicable. In this paper, by extending adding a power integrator design method to a stochastic system and by skillfully constructing Lyapunov function, a novel switching control strategy is proposed, which renders that the states of closed-loop system are almost surely regulated to zero in a finite time. A simulation example is provided to demonstrate the effectiveness of the theoretical results.
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 439482, 8 pages.
First available in Project Euclid: 27 February 2014
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Gao, Fangzheng; Yuan, Fushun; Zhang, Jian; Wu, Yuqiang. Further Result on Finite-Time Stabilization of Stochastic Nonholonomic Systems. Abstr. Appl. Anal. 2013 (2013), Article ID 439482, 8 pages. doi:10.1155/2013/439482. https://projecteuclid.org/euclid.aaa/1393511945