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

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  • Shuangyun Xing
  • Qingling Zhang
  • Yi Zhang

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.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:946491
DOI: 10.1155/2013/946491
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