运用动力系统稳定性理论,讨论了一类金融投资系统的稳定性问题。给出了系统在时滞脉冲下零解渐近稳定的条件,分析了系统参数、脉冲和延迟区间之间的相对关系。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。
By the stability theory of dynamic system,the stability for a financial investment system is investigated.A sufficient condition is obtained to guarantee the equilibrium point to be asymptotically stable.The condition reflects the relationship between the system parameters,impulse intervals and time delays.The result is illustrated to be efficient through emulation,and presents economics explanation.