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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 361269, 18 pages
Research Article

Finite-Time Stabilization of Stochastic Nonholonomic Systems and Its Application to Mobile Robot

School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, Henan Province, China

Received 19 July 2012; Accepted 27 September 2012

Academic Editor: Ahmed El-Sayed

Copyright © 2012 Fangzheng Gao and Fushun Yuan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Yanling Shang, and Xin Guo, “Finite-time stabilization of nonholonomic mobile robots with stochastic forward velocity,” Journal of Information and Computational Science, vol. 10, no. 14, pp. 4377–4384, 2013. View at Publisher · View at Google Scholar
  • Fangzheng Gao, Fushun Yuan, Jian Zhang, and Yuqiang Wu, “Further result on finite-time stabilization of stochastic nonholonomic systems,” Abstract and Applied Analysis, vol. 2013, 2013. View at Publisher · View at Google Scholar
  • Dongkai Zhang, Chaoli Wang, Guoliang Wei, Hengjun Zhang, and Hua Chen, “State-feedback stabilisation for stochastic non-holonomic mobile robots with uncertain visual servoing parameters,” International Journal of Systems Science, vol. 45, no. 7, pp. 1451–1460, 2014. View at Publisher · View at Google Scholar
  • Ping Zhao, Wei Feng, Yan Zhao, and Yu Kang, “Finite-time stochastic input-to-state stability of switched stochastic nonlinear systems,” Applied Mathematics and Computation, vol. 268, pp. 1038–1054, 2015. View at Publisher · View at Google Scholar
  • Liang Liu, Shengyuan Xu, and Yifan Zhang, “Finite-time output feedback control for a class of stochastic low-order nonlinear systems,” International Journal of Control, vol. 90, no. 7, pp. 1457–1465, 2017. View at Publisher · View at Google Scholar