关键词: 动态投入产出, 容许控制, 最优反馈控制, 转移矩阵, 极大值原理, 线性二次控制

Abstract: Combining the known input-output model with the methods based on control theory, an economic system is analyzed for the macro regulation and control of it. Based on the dynamic input-output theory, an optimal control model is developed for the definite linear economic systems with an inequality constraint on state integrals. According to the principle of maximum without constraint, the study on the optimal control of this model is changed into that of a simple perturbation model to which an optimal feedback control is derived. Therefore, on suitable assumptions, the existence and uniqueness of both optimal technology and economic control strategy are obtained and discussed. It is revealed that they enable the real output to be ideal with the energy consumption and cost minimized. Finally, the optimal feedback control is given.