Mathematical Problems in Engineering
Volume 2015, Article ID 292794, 7 pages
http://dx.doi.org/10.1155/2015/292794
Stability of a Class of Stochastic Nonlinear Systems with Markovian Switching
School of Mathematics and Statistics Science, Ludong University, Yantai 264025, China
Received 11 December 2014; Revised 13 August 2015; Accepted 13 August 2015
Academic Editor: Asier Ibeas
Copyright © 2015 Xiaohua Liu and Wuquan Li. 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.
Abstract
This paper investigates the stability of a class of stochastic nonlinear systems with Markovian switching via output-feedback. Based on the backstepping design method and homogeneous domination technique, an output-feedback controller is constructed to guarantee that the closed-loop system has a unique solution and is almost surely asymptotically stable. The efficiency of the output-feedback controller is demonstrated by a simulation example.