A Class Of Macroeconomic System And Its Linear Quadratic Optimal Control

Economic Cybernetics is a subject which uses modern control theory to research economy system's law of development and optimal control,so it's a important branch of Cybernetics. Economic Cybernetics consists of economic system's modeling,simulation,identification, estimation even optimal or suboptimal control.It emphasizes on studying economic system from the viewpoint of entirety,dynamic,interrelation and coordinated development. Macroeconomy system describes national economy's general process,reflects the determination and fluctuation of economic aggregate such as national income,employment level or price level.For keeping the economy growthing steadily and developing harmoniously,it's necessary to control the macroeconomy system and formulate economic policies to improve system's stability.This dissertation establishes a class of macroeconomy system based on multiplier-accelerator model,analyzes its stability,designs optimal controller using optimal control theory,poses macroeconomy system's linear quadratic optimal control problem and then proves it is globally asymptotic stable.At last,the simulation shows that our design is reasonable and correct.So we get the macroeconomy system's GNP can increase steadily under above-mentioned control design.