Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 890512, 15 pages
http://dx.doi.org/10.1155/2012/890512
Research Article

Estimation for Stochastic Nonlinear Systems with Randomly Distributed Time-Varying Delays and Missing Measurements

Yan Che,1,2 Huisheng Shu,1 and Xiu Kan1

1School of Information Science and Technology, Donghua University, Shanghai 201620, China
2Department of Electronics and Information Engineering, Putian University, Putian 351100, China

Received 21 June 2012; Accepted 6 September 2012

Academic Editor: Zidong Wang

Copyright © 2012 Yan Che 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.

Abstract

The estimation problem is investigated for a class of stochastic nonlinear systems with distributed time-varying delays and missing measurements. The considered distributed time-varying delays, stochastic nonlinearities, and missing measurements are modeled in random ways governed by Bernoulli stochastic variables. The discussed nonlinearities are expressed by the statistical means. By using the linear matrix inequality method, a sufficient condition is established to guarantee the mean-square stability of the estimation error, and then the estimator parameters are characterized by the solution to a set of LMIs. Finally, a simulation example is exploited to show the effectiveness of the proposed design procedures.