Optimal control in a differential-algebraic bio-economical model

Author

Liu, Chao ; Zhang, QingLing ; Huang, James

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang, China

fYear

2011

fDate

23-25 May 2011

Firstpage

4144

Lastpage

4149

Abstract

A differential-algebraic bio-economical model which considers a prey-predator system with stage structure for predator and harvest effort on mature predator is proposed. By using the differential-algebraic system theory and bifurcation theory, the local stability and instability mechanism of the proposed model system are investigated. With the purpose of stabilizing the proposed model system at the positive equilibrium, optimal state feedback controller is designed. Finally, a numerical simulation is carried out to show the consistency with theoretical analysis and illustrate the effectiveness of the proposed controller.

Keywords

bifurcation; differential algebraic equations; optimal control; predator-prey systems; stability; state feedback; bifurcation theory; differential algebraic bio economical model; differential algebraic system theory; instability; optimal state feedback controller; prey-predator system; stability; Analytical models; Bifurcation; Biological system modeling; Economics; Ecosystems; Mathematical model; Stability analysis; Bifurcation; Differential-algebraic system; Optimal control; Stage structure;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2011 Chinese

Conference_Location

Mianyang

Print_ISBN

978-1-4244-8737-0

Type

conf

DOI

10.1109/CCDC.2011.5968952

Filename

5968952