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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

Author

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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.

Suggested Citation

  • Shuangyun Xing & Qingling Zhang & Yi Zhang, 2013. "Finite‐Time Stability Analysis and Control for a Class of Stochastic Singular Biological Economic Systems Based on T‐S Fuzzy Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:946491
    DOI: 10.1155/2013/946491
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    References listed on IDEAS

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    Cited by:

    1. Wenhua Gao & Feiqi Deng & Ruiqiu Zhang & Wenhui Liu, 2014. "Finite‐Time H∞ Control for Time‐Delayed Stochastic Systems with Markovian Switching," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Zhiguo Yan & Weihai Zhang, 2014. "Finite‐Time Stability and Stabilization of Itô‐Type Stochastic Singular Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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