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Mathematical Problems in Engineering
Volume 2013, Article ID 202969, 8 pages
Research Article

Dissipativity Analysis and Synthesis for a Class of Nonlinear Stochastic Impulsive Systems

1School of Hydropower & Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
2Hubei Province Key Lab of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China

Received 1 August 2013; Accepted 6 September 2013

Academic Editor: Tao Li

Copyright © 2013 Guici Chen 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.


The dissipativity analysis and control problems for a class of nonlinear stochastic impulsive systems (NSISs) are studied. The systems are subject to the nonlinear disturbance, stochastic disturbance, and impulsive effects, which often exist in a wide variety of industrial processes and the sources of instability. Our aim is to analyse the dissipativity and to design the state-feedback controller and impulsive controller based on the dissipativity such that the nonlinear stochastic impulsive systems are stochastic stable and strictly -dissipative. The sufficient conditions are obtained in terms of linear matrix inequality (LMI), and a numerical example with simulation is given to show the correctness of the derived results and the effectiveness of the proposed method.