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

Autor: Shuangyun Xing, Qingling Zhang, Yi Zhang
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2013 (2013)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2013/946491
Popis: 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.
Databáze: Directory of Open Access Journals