Fixed-time stability and stabilization of impulsive dynamical systems
Fixed-time stability and stabilization of impulsive dynamical systems
复制标题
脉冲动力系统的定时稳定性和稳定性
DOI：
10.1016/j.jfranklin.2017.09.036
复制
发表时间：
2017-12-01
影响因子：
4.1
通讯作者：
Ouyang, Deqiang
中科院分区：
文献类型：
--
作者：
Li, Hongfei;Li, Chuandong;Ouyang, Deqiang
本文主要倾向于考虑脉冲动力系统的固定时间稳定性行为。建立了一个有效的定理来构建脉冲比较系统。借助不等式分析方法、一定的平均脉冲区间和Lyapunov函数，给出了保证脉冲动力系统定时稳定性的充分条件。此外，作为一个重要的应用，提出了一类耦合脉冲神经网络的固定时间镇定。通过设计间断控制律，得到了几个新的准则来保证耦合脉冲神经网络的定时稳定性。最后，提供了两个数值模拟来说明理论分析的有效性。 (C) 2017 年富兰克林研究所。由爱思唯尔有限公司出版。保留所有权利。
This paper mainly tends to consider the fixed-time stability behavior for impulsive dynamical systems. An efficient theorem is established to construct an impulsive comparison system. By means of inequality analysis method, certain average impulsive interval and Lyapunov function, some sufficient conditions are given to ensure the fixed-time stability of impulsive dynamical systems. Moreover, as an important application, the fixed-time stabilization of a class of coupled impulsive neural networks is proposed. By designing a discontinuous control law, several new criteria are obtained to guarantee the fixed-time stabilization of the coupled impulsive neural networks. Finally, two numerical simulations are provided to illustrate the validity of the theoretical analysis. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.