分段常数变量反馈控制Logistic模型的吸引性

The attractivity of a feedback control Logistic system with piecewise constant arguments

研究了一类具有分段常数变量与多时滞线性反馈控制Logistic模型正平衡点的全局吸引性,利用Barbalat引理证明了该模型解的一致有界与连续性,利用构造Lyapunov泛函方法得到了该模型全局吸引性的充分条件.

The positive equilibrium of the solutions of an autonomous linear multi-delay feedback control Logistic system with piecewise constant arguments is proved,global attractivity by using Lyapunov functional and bi-continuous and having supremum is proved by using Barbalat lemma. Some sufficient conditions are obtained by using the method of Lyapunov function.