Adaptive control the Cournot Duopoly production-model

The adaptive control method is applied to the chaos control of two-dimensional multiparameters Cournot model. Its control goal is to guide system to instability equilibrium by using little disturbance of control parameter. Theory study and numerical simulation result prove that the method could successfully lead the chaos track to low cycle track, whatever, the method affects on one parameter or several parameters by disturbance. And give a scope of convergent condition and control intensity. The controlled production model can quickly reach Nash equilibrium. So it provides theory reference and production condition to real enterprises.