Optimal control in a differential-algebraic bio-economical model

Chao Liu, Qingling Zhang, Jianhui Huang

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review


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 languageEnglish
Title of host publicationProceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011
Number of pages6
Publication statusPublished - 5 Sep 2011
Event2011 Chinese Control and Decision Conference, CCDC 2011 - Mianyang, China
Duration: 23 May 201125 May 2011


Conference2011 Chinese Control and Decision Conference, CCDC 2011


  • Bifurcation
  • Differential-algebraic system
  • Optimal control
  • Stage structure

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering

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