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Singularity-Induced Bifurcation and Control for a Class of Bioeconomic System

Yue Zhang~1;Qingling Zhang~1 1.the Institute of Systems Science;Northeastern University;Shenyang;110004

  Differential-algebraic bioeconomic systems are a new research field in differential-algebraic systems;there has been little research about bifurcations and fuzzy control of differential-algebraic bioeconomic systems.Bifurcations analysis and feedback controller design of the system offers an important basis for the research of differential-algebraic system theory applied to bioeconomic systems.In this paper,the problems of singularity-induced bifurcation(SIB), impulsive behavior and corresponding control for a class of differential-algebraic bioeconomic systems are discussed. Firstly,by the theory of differential-algebraic systems,it is obtained that there exist the SIB and impulsive behavior in the system.Secondly,Takagi-Sugeno(T-S) fuzzy descriptor models are constructed.Then,a feedback controller is designed to make the system to be stable.As a result,the SIB and impulsive behavior can be eliminated by the control method of T-S fuzzy descriptor systems.In practice,it can be realized by controlling the harvesting effort.Finally, numerical simulations illustrate that the controller is effective.……