期刊
AUTOMATICA
卷 86, 期 -, 页码 129-137出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2017.08.023
关键词
Impulsive systems; Time delay; Exponential stability; L-2-gain; Discretized Lyapunov functional
资金
- National Natural Science Foundation of China [61633011, 61573111]
- Guangxi Natural Science Foundation [2015GXNSFAA139003]
- Innovation Project of Guangxi Graduate Education [YCSW2017049]
- Australian Research Council [DP120104986]
The problems of exponential stability and La-gain for a class of time-delay systems with impulsive effects are studied. The main tool used is the construction of an impulse-time-dependent complete Lyapunov functional. By dividing the impulse interval and delay interval into several segments, the matrix functions of this functional are chosen to be continuous piecewise linear. Moreover, an impulse-time-dependent weighting factor is introduced to coordinate the dynamical behavior of the nondelayed and integral terms of this functional along the trajectories of the system. By applying this functional, delay-dependent sufficient conditions for exponential stability and L-2-gain are derived in terms of linear matrix inequalities. As by-products, new delay-independent sufficient conditions for the same problems are also derived. The efficiency of the proposed results is illustrated by numerical examples. (C) 2017 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据