本文以马克思扩大再生产理论发展起来的均衡模型为基础建立了一个双线性状态方程,以最优控制论为工具将上述状态方程和社会福利最大化目标相结合从而建立了求解两大部类积累率关系的最优控制模型,进而得到了两大部类积累率的最优均衡关系。这一关系不仅具有理论意义而且具有实践意义。 This paper establishes a bilinear equation of state based on the equilibrium model developed by Marx’s expansion of reproduction theory. By combining the above equation of state with the goal of maximizing social welfare with the optimal control theory as a tool, Rate of optimal control model, and then get the two types of accumulation rate of the optimal equilibrium relationship. This relationship is not only of theoretical but also practical significance.