一类商品价格供需系统的稳定性分析  

Global exponential stability of commodity price system with supply and demand

作　　者：孔玉生[1] 姚晶晶[1] 

机构地区：[1]江苏大学财经学院,江苏镇江212013

出　　处：《江苏大学学报（自然科学版）》2013年第4期492-496,共5页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(70871056和71271103);江苏大学大学生科研立项项目(11C143);江苏大学“挑战杯”备赛资助项目

摘　　要：运用动力系统稳定性理论,建立了一类具有时滞脉冲的商品价格供需系统,讨论了一类商品价格供需系统的稳定性问题.给出了系统在时滞脉冲下零解渐近稳定的条件,分析系统参数、脉冲和时滞量之间的相对关系对系统的影响,发现在一定条件下商品市场的价格调节机制是可行的,能够保证市场商品价格的稳定,但价格这种调节机制是有限的,一旦超出这个范围,就会出现市场商品价格的不稳定.最后进行数值仿真,验证了时滞脉冲稳定的有效性,并给出了经济学解释.According to the theory of dynamic system stability, the commodity price system with supply and demand was established. The asymptotic stability condition of zero solution with impulsive delay was proposed to analyze the relative relationship among system parameters, pulse and delay interval. Under the condition of a certain price adjustment mechanism, the stability of market price can be realized. However, the price of the regulation mechanism has an effective range, and the commodity price is unsta- ble beyond the range. The numerical simulations show that time lag and impulses can control the stability of system effectively with reasonable economics explanation.

关 键 词：商品价格 供需系统 渐近稳定 脉冲 时间延滞 

分 类 号：F232[经济管理—会计学] O415[经济管理—国民经济]