Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968952
