NDLI: The dynamics and bifurcation control of a singular biological economic model

Content Provider	Springer Nature Link
Author	Li, Ning Sun, Hai Yi Zhang, Qing Ling
Copyright Year	2012
Abstract	The objective of this paper is to study systematically the dynamics and control strategy of a singular biological economic model that is described by a differential-algebraic equation. It is shown that when the economic profit passes through zero, this model exhibits the transcritical bifurcation, the Hopf bifurcation, and the limit cycle. In particular, the system undergoes the singularity induced bifurcation at the positive equilibrium, which can result in impulse. Then, state feedback controllers closer to the actual control strategies are designed to eliminate the unexpected singularity induced bifurcation and stabilize the positive equilibrium under the positive profit. Finally, numerical simulations verify the results and illustrate the effectiveness of the controllers. Also, the model with positive economic profit is shown numerically to have different dynamics.
Starting Page	1
Ending Page	7
Page Count	7
File Format	PDF
ISSN	14768186
Journal	International Journal of Automation and Computing
Volume Number	9
Issue Number	1
e-ISSN	17518520
Language	English
Publisher	Institute of Automation, Chinese Academy of Sciences
Publisher Date	2012-02-22
Publisher Place	Heidelberg
Access Restriction	Subscribed
Subject Keyword	Differential-algebraic equation transcritical bifurcation Hopf bifurcation limit cycle singularity induced bifurcation bifurcation control Computer-Aided Engineering (CAD, CAE) and Design Computer Applications Control, Robotics, Mechatronics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Systems Engineering Modeling and Simulation Computer Science Applications

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