具有状态约束的动态经济系统最优控制

利用动态投入产出模型和控制理论方法相结合,对经济系统进行分析和宏观调控·具有状态积分不等式约束的确定性线性经济系统最优控制模型,是基于动态投入产出理论建立的·利用无约束条件的极大值原理,分析了最优技术与经济控制策略的存在性和惟一性,使得产品的实际产出尽量接近理想产出,同时使能源、资金等消耗最小,并给出了最优反馈控制的形式·

Optimal Control of Dynamic Economic Systems with State Constraint

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. An optimal control model is developed for the definite linear economic systems with an inequality constraint on state integrals, based on the dynamic input-output theory. 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 then 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.