Copyright © 2013 Guowei Yang 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 is devoted to investigating sliding mode control (SMC) for Markovian switching singular
systems with time-varying delays and nonlinear perturbations. The sliding mode controller
is designed to guarantee that the nonlinear singular system is stochastically admissible and its trajectory
can reach the sliding surface in finite time. By using Lyapunov functional method, some criteria on
stochastically admissible are established in the form of linear matrix inequalities (LMIs). A numerical
example is presented to illustrate the effectiveness and efficiency of the obtained results.