Position: Home > Articles > A New Exponential Stability Criterion for Impulsive Differential Dynamical Systems with Discrete Delays
Journal of Southwest University(Natural Science Edition)
2017
(6)
87-91
离散时滞脉冲微分动力系统的指数稳定性判据
作 者：
黄家琳;牟天伟
单 位：
成都师范学院数学系;四川三河职业学院基础部
关键词：
时滞微分方程组;离散时滞;脉冲;LMI工具箱
摘 要：
给出了一类脉冲微分动力系统的新条件,利用不动点方法获得了新的指数稳定性判据.值得一提的是,新判据中LMI条件完全可以用计算机Matlab LMI工具箱验证,符合工程实际中涉及的大规模计算要求.
译 名：
A New Exponential Stability Criterion for Impulsive Differential Dynamical Systems with Discrete Delays
作 者：
HUANG Jia-lin;MU Tian-wei;Department of Basic Courses,Sichuan Sanhe Vocational College;Department of Mathematics,Chengdu Normal University;
关键词：
delay differential equation;;discrete time delay;;pulse;;LMI toolbox
摘 要：
In this paper,a kind of new assumptions on the differential dynamic system are given.Then,a new exponential stability criterion is obtained with the fixed point method.It is worth mentioning that the new criterion in LMI conditions can be verified with the MATLAB LMI toolbox,meeting the requirements of large-scale calculation in engineering practice.
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