Optimal control and synchronization of Lotka-Volterra model

In this paper we discuss the problem of optimal control for the steady slat e of Lotka-Volterra model. The conditions of the asymptotic stability of th e steady state of this model are used to obtain the optimal control functio ns. In such study, the optimal Lyapunov function is used. The general solut ion of the equations of the perturbed state is obtained as a function of ti me. In addition, the optimal control is also applied to achieve the slate s ynchronization of two identical Lotka-Volterra systems. Graphical and numer ical simulation studies of the obtained results are presented. (C) 2001 Els evier Science Ltd. All rights reserved.