Positive control of Lotka-Volterra systems

Authors:	Grognard Frédéric, INRIA Sophia-Antipolis, France Gouzé J.-L., INRIA Sophia-Antipolis, France
Topic:	2.3 Non-Linear Control Systems
Session:	Nonlinear Control Applications II
Keywords:	Predator-prey, Lotka-Volterra, Positive control, Lyapunov design

Abstract

We consider the n-dimensional Lotka-Volterra system of differential equations representing the predator-prey interaction between n species. In this paper, we will try to control the system by mean of a sign-definite control law that is based on a classical Lyapunov function for Lotka-Volterra systems.