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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 946491, 10 pages
http://dx.doi.org/10.1155/2013/946491
Research Article

Finite-Time Stability Analysis and Control for a Class of Stochastic Singular Biological Economic Systems Based on T-S Fuzzy Model

1Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110189, China
2College of Science, Shenyang Jianzhu University, Shenyang, Liaoning 110168, China
3School of Science, Shenyang University of Technology, Shenyang, Liaoning 110870, China

Received 28 February 2013; Accepted 23 May 2013

Academic Editor: Qun Lin

Copyright © 2013 Shuangyun Xing 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

This paper studies the problem of finite-time stability and control for a class of stochastic singular biological economic systems. It shows that such systems exhibit the distinct dynamic behavior when the economic profit is a variable rather than a constant. Firstly, the stochastic singular biological economic systems are established as fuzzy models based on T-S fuzzy control approach. These models are described by stochastic singular T-S fuzzy systems. Then, novel sufficient conditions of finite-time stability are obtained for the stochastic singular biological economic systems, and the state feedback controller is designed so that the population (state of the systems) can be driven to the bounded range by the management of the open resource. Finally, by using Matlab software, numerical examples are given to illustrate the effectiveness of the obtained results.