The Application of Time-Delay-DependentH∞Control in the Transmission Effect of Monetary Policy on Real Estate Market

Abstract

This paper uses a time-delay-dependentH∞control model to analyze the transmission effect of monetary policy on the real estate market. We establish a theoretical framework between monetary policy and real estate market based on the three channels, that is, interest rate channel, monetary supply channel, and credit channel. Then we construct a basic model usingH∞control method. By analyzing the effect of the time-delay characteristics of monetary policy on the real estate market, we introduce time variables and propose a time-delay-dependentH∞control model. We test the robustness of the model using the Chinese data of the monetary policy and the real estate market and prove that this model can be well employed in the reality.