Global finite-time stabilisation for a class of stochastic high-order time-varying nonlinear systems

ABSTRACT

In this paper, the problem of global finite-time stabilisation by state feedback is investigated for a class of stochastic high-order nonlinear systems with time-varying nonlinearities. Based on the generalised stochastic Lyapunov theorem on finite-time stability, and by skillfully using the method of adding a power integrator, a continuous state feedback controller is successfully constructed to guarantee that the closed-loop system is globally finite-time stable in probability. Finally, several simulation examples are provided to illustrate the effectiveness of the proposed method.

KEYWORDS:

• Stochastic time-varying nonlinear systems
• state feedback
• adding a power integrator
• global finite-time stable in probability

Acknowledgments

The authors thank the editor and the anonymous reviewers for their constructive comments and suggestions for improving the quality of the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

National Nature Science Foundation of China [grant number 61273091], [grant number 61403003]; the Project of Taishan Scholar of Shandong Province of China [grant number TS20120529]; the PhD Program Foundation of Ministry of Education of China [grant number 20123705110002]; the Key Program of Science Technology Research of Education Department of Henan Province [grant number 13A120016], [grant number 14A520003].