时间尺度上带有反馈控制的企业集群竞争模型的概周期解

Almost Periodic Solutions of Competitive Model of Enterprise Cluster with Feedback Control on Time Scales

首先利用概周期函数的性质,得出了时间尺度上带有反馈控制的企业集群竞争模型的概周期解的存在性的充分条件:当假设(H_1)(H_2)成立时,该系统有1个概周期解。然后构造适当的Lyapunov函数,得出该概周期解的唯一性和一致渐近稳定性的充分条件:当假设(H_1),(H_2),(H_3)成立时,此概周期解不仅是唯一的而且是一致渐近稳定的。

In this paper,firstly using the property of almost periodic function,some sufficient conditions to guarantee the existence of almost periodic solution of competitive model of enterprise cluster with feedback control on time scales is obtained：suppose that the condition（H_1）and（H_2）are fulfilled,there is a almost periodic solution of the system.And then by constructing the Lyapunov function,some conditions to ensure the uniqueness and uniformly asymptotical stability of almost periodic solution is got：suppose that the conditions（H_1）,（H_2）,（H_3）are satisfied,the almost periodic solution is unique and uniformly asymptotical stability.