连续时间的蒙代尔—弗莱明模型可控性及其仿真

发布时间：2018-06-14 22:38

本文选题：连续时间的蒙代尔—弗莱明模型 + 经济系统失衡　；参考：《信息与控制》2017年01期

【摘要】：本文旨在现代经济学的标准假设下,证明连续时间的蒙代尔—弗莱明模型的可控性.建立连续时间的蒙代尔—弗莱明动态模型,研究连续时间的蒙代尔—弗莱明模型的动态结构特征,设计其控制律,得到连续时间蒙代尔—弗莱明动态模型反馈控制律的解析解并进行仿真分析.研究表明:连续时间蒙代尔—弗莱明动态系统具有完全能观性、能控性和能达性等结构特征;连续时间蒙代尔—弗莱明动态系统可以任意配置其极点,使其系统渐近稳定,达到输出调节并具有满意的动态性能.根据系统参数的经济意义和模型要求进行仿真试验设计,仿真结果验证了所设计的反馈控制律对连续时间蒙代尔—弗莱明模型动态系统控制的有效性.
[Abstract]:The purpose of this paper is to prove the controllability of the Mondal-Fleming model with continuous time under the standard assumptions of modern economics. The Mondal-Fleming dynamic model with continuous time is established. The dynamic structural characteristics of the continuous time Mondal-Fleming model are studied and its control law is designed. The analytical solution of the feedback control law for the continuous time Mondal-Fleming dynamic model is obtained and simulated. It is shown that the continuous time Mondal-Fleming dynamic system has the structural characteristics of complete observability, controllability and reachability, and that the continuous time Mondal-Fleming dynamic system can arbitrarily configure its poles to make the system asymptotically stable. Achieve output regulation and have satisfactory dynamic performance. According to the economic significance of the system parameters and the requirements of the model, the simulation results verify the effectiveness of the proposed feedback control law for the continuous time Mondal-Fleming dynamic system control.
【作者单位】：贵州工程应用技术学院经济与管理学院;
【基金】：国家自然科学基金资助项目(71561007) 贵州省科技计划资助项目(黔科合R字[2013]2008号) 贵州省软科学计划资助项目(黔科合基础(2016)1534-3号) 贵州省教育厅人文社科重点项目(14ZD007) 毕节学院科研创新课题资助项目(G2013001)
【分类号】：F014;TP13

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