Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 761342, 9 pages
Research Article

Sliding Mode Control of Uncertain Neutral Stochastic Systems with Multiple Delays

Dilan Chen1,2 and Weidong Zhang1

1Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China
2Department of Mathematics, Shanghai Maritime University, Shanghai 200135, China

Received 31 August 2007; Accepted 4 March 2008

Academic Editor: Paulo Gonçalves

Copyright © 2008 Dilan Chen and Weidong Zhang. 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 is concerned with the sliding mode control for uncertain stochastic neutral systems with multiple delays. A switching surface is adopted first. Then, by means of linear matrix inequalities (LMIs), a sufficient condition is derived to ensure the global stochastic stability of the stochastic system in the sliding mode for all admissible uncertainties. The synthesized sliding mode controller guarantees the existence of the sliding mode.