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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 489408, 8 pages
Research Article

Robust Control for Linear Stochastic Partial Differential Systems with Time Delay

1The School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China
2The School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China

Received 23 March 2014; Accepted 2 June 2014; Published 23 June 2014

Academic Editor: Ming Gao

Copyright © 2014 Xisheng Dai 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 investigates the problems of robust stochastic mean square exponential stabilization and robust for stochastic partial differential time delay systems. Sufficient conditions for the existence of state feedback controllers are proposed, which ensure mean square exponential stability of the resulting closed-loop system and reduce the effect of the disturbance input on the controlled output to a prescribed level of performance. A linear matrix inequality approach is employed to design the desired state feedback controllers. An illustrative example is provided to show the usefulness of the proposed technique.