一类产出系统的延迟反馈控制

将两种延迟反馈控制方法应用到具有不同预期决策规则的双寡头垄断生产模型,一种形式的延迟反馈控制法是对系统变量进行延迟控制;另一种是对系统参数进行延迟控制.其控制目标都是通过对系统变量和参数的延迟使系统稳定到不稳定不动点或均衡点.理论推导和数值模拟证明了此方法的有效性,并解析地给出了收敛条件和控制增益所在的范围.实施控制后的生产模型能快速地达到Nash均衡点,这为现实中的企业提供了理论参考及生产依据.

Delayed feedback control of a production system

Two forms of delayed feedback control methods are applied to a Duopoly model based on heterogeneous expectations.One delayed feedback stabilizes chaos via state variable;the other suppresses chaos by adjusting system parameters.This control aims to bring this system into instability equilib-rium using delay of state variables and parameters.The validity of the control method is proved through theoretical analysis and numerical simulations.Moreover,scope of convergent condition and control intensity are given.It can quickly reach Nash equilibrium after control.So it provides theoretic reference and production condition to real enterprises.