Optimal control in a differential-algebraic bio-economical model

Chao Liu; Qingling Zhang; Jianhui Huang

doi:10.1109/CCDC.2011.5968952

Optimal control in a differential-algebraic bio-economical model

Chao Liu, Qingling Zhang, Jianhui Huang

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

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.

Original language	English
Title of host publication	Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011
Pages	4144-4149
Number of pages	6
DOIs	https://doi.org/10.1109/CCDC.2011.5968952
Publication status	Published - 5 Sept 2011
Event	2011 Chinese Control and Decision Conference, CCDC 2011 - Mianyang, China Duration: 23 May 2011 → 25 May 2011

Conference

Conference	2011 Chinese Control and Decision Conference, CCDC 2011
Country/Territory	China
City	Mianyang
Period	23/05/11 → 25/05/11

Keywords

Bifurcation
Differential-algebraic system
Optimal control
Stage structure

ASJC Scopus subject areas

Information Systems and Management
Control and Systems Engineering

More information

10.1109/CCDC.2011.5968952

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AB - 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.

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Optimal control in a differential-algebraic bio-economical model

Abstract

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Keywords

ASJC Scopus subject areas

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