LQ Control of Lotka-Volterra Systems Based on their Locally Linearized Dynamics

Görgy Lipták, Attila Magyar, K. Hangos

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This work applies the LQ control framework to the class of quasi-polynomial and Lotka-Volterra systems through the linearized version of their nonlinear system model. The primary aim is to globally stabilize the original system with a suboptimal LQ state feedback by means of a well-known entropy-like Lyapunov function that is related to the diagonal stability of linear systems. This aim can only be reached in the case when the quasi-monomial composition matrix is invertible. In the rank-deficient case only the local stabilization of the system is possible with an LQ controller that is designed using the locally linearized model of the closed-loop system model.

Original languageEnglish
Pages (from-to)241-245
Number of pages5
JournalIFAC-PapersOnLine
Volume49
Issue number10
DOIs
Publication statusPublished - 2016

Fingerprint

Lyapunov functions
State feedback
Closed loop systems
Linear systems
Nonlinear systems
Entropy
Stabilization
Polynomials
Controllers
Chemical analysis

Keywords

  • linear matrix inequalities
  • LQ control
  • Lyapunov stability
  • nonlinear systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

LQ Control of Lotka-Volterra Systems Based on their Locally Linearized Dynamics. / Lipták, Görgy; Magyar, Attila; Hangos, K.

In: IFAC-PapersOnLine, Vol. 49, No. 10, 2016, p. 241-245.

Research output: Contribution to journalArticle

Lipták, Görgy ; Magyar, Attila ; Hangos, K. / LQ Control of Lotka-Volterra Systems Based on their Locally Linearized Dynamics. In: IFAC-PapersOnLine. 2016 ; Vol. 49, No. 10. pp. 241-245.
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