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Mathematical Problems in Engineering
Volume 2014, Article ID 484732, 8 pages
Research Article

Feedback Stabilization for a Class of Nonlinear Stochastic Systems with State- and Control-Dependent Noise

1College of Information and Control Engineering, China University of Petroleum (East China), Qingdao 266580, China
2College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China

Received 8 August 2014; Accepted 23 September 2014; Published 5 November 2014

Academic Editor: Ramachandran Raja

Copyright © 2014 Yu-Hong Wang et al. 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.


This paper mainly studies the state feedback stabilizability of a class of nonlinear stochastic systems with state- and control-dependent noise. Some sufficient conditions on local and global state feedback stabilizations are given in linear matrix inequalities (LMIs) and generalized algebraic Riccati equations (GAREs). Some obtained results improve the previous work.