连续时间的IS-LM模型可控制性与仿真研究  

Continuous Time IS-LM Model Controllability and Simulation

作　　者：王祥兵 WANG Xiangbing(School of Business,Huaihua University,Huaihua 418000,China;School of Finance and Economics,Guangzhou Panyu Polytechnic,Guangzhou 511483,China)

机构地区：[1]怀化学院商学院,湖南怀化418000 [2]广州番禺职业技术学院财经学院,广东广州511483

出　　处：《运筹与管理》2024年第3期76-81,共6页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71561007);湖南省自然科学基金项目(2023JJ50460);广东省自然科学基金项目(2023A1515012333);广东省哲学社会科学规划课题(GD21CYJ31);广州市哲学社会科学规划课题(2022GZYB12);广东省普通高等特色创新类项目(2021WTSCX206);重庆师范大学数学科学学院省部级重点实验室开放课题(CSSXKFKTY201808)。

摘　　要：在现代经济学的标准假设下,建立连续时间的IS-LM动态模型,分析IS-LM动态模型的系统结构特征,设计连续时间的IS-LM动态模型的控制律,得到控制律的解析解并进行仿真分析。研究表明:连续时间的IS-LM动态模型具有能控性、能达性和完全能观性等系统结构特征;连续时间IS-LM动态模型系统可以任意配置其极点,使模型系统渐进稳定,达到输出调节并具有满意的动态性能,即在现代经济学的标准假设下,证实了IS-LM动态模型的可控性。根据模型假设及模型参数的经济意义设计仿真实验,仿真实验结果验证了所设计反馈控制律对连续时间IS-LM动态模型控制的有效性。因而,针对复杂多变的经济形势,科学设计经济政策,能有效实现经济调控的目标。Adjustments and fluctuations in various economic variables profoundly impact the dynamic evolution of the product market and currency market in a real-world economic system,causing constant fluctuations,oscillations,imbalances,and other non-equilibrium states.Due to the imbalance and fluctuations in the product market and currency market,the macro-economy is affected with a significant negative impact,while stabilizing the product market and currency market fundamentally promotes the stable and rapid development of the macro-economy.To this end,this study establishes a continuous-time IS-LM dynamic model under the standard assumptions of contemporary economics,studies the dynamic structural characteristics of the continuous-time IS-LM model,designs its control law analysis,conducts simulation analysis,and then obtains the following meaningful conclusion:First,the continuous-time IS-LM model dynamic system has reachability and controllability.This proposition describes the relationship between the input variables and state variables of the continuous-time IS-LM dynamic system,indicating that there is always a control variable that enables the initial state of the continuous-time IS-LM dynamic system to be transferred to the required state within a limited time.That is,through policy regulation,the operating state of the continuous-time IS-LM dynamic system can be changed so that it can achieve the economic operating situation desired by the decision-maker.Second,the observability index of the continuous-time IS-LM dynamic system is 2,which means it has complete observability.This proposition describes the relationship between the output variables and state variables of the continuous-time IS-LM dynamic system,indicating that the initial state of the continuous-time IS-LM dynamic system can be uniquely determined by the system output in a limited time period,which is the continuous-time IS-LM dynamic system.The system can determine the operating status of the system by observing its output variables.Third,for the c

关 键 词：连续时间的IS-LM模型 反馈控制 能控性 能达性 能观性 

分 类 号：F820[经济管理—财政学] F015