Halanay-type inequality with delayed impulses and its applications
Halanay-type inequality with delayed impulses and its applications作者机构：The Jiangsu Provincial Key Laboratory of Networked Collective Intelligence School of MathematicsSoutheast University Department of Applied Mathematics The Hong Kong Polytechnic University
出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))
年 卷 期：2019年第62卷第9期
页 面：158-167页
核心收录：
学科分类：0810[工学-信息与通信工程] 0808[工学-电气工程] 07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学]
基 金：supported by National Natural Science Foundation of China (Grant No. 61573102) Natural Science Foundation of Jiangsu Province (Grant No. BK20170019) Jiangsu Provincial Key Laboratory of Networked Collective Intelligence (Grant No. BM2017002) Graduate Research and Innovation Program of Jiangsu Province (Grant No. KYCX18 0052)
主 题：Halanay-type inequality hybrid impulses average impulsive gain delayed impulses linear impulsive systems
摘 要：In this study, some properties of a novel Halanay-type inequality that simultaneously contains impulses and delayed impulses are investigated. Two concepts with respect to average impulsive gain are proposed to describe hybrid impulsive strength and hybrid delayed impulsive strength. Then, using the obtained results, two stability criteria are derived for the linear systems with impulses and delayed *** is found that the stability of impulsive systems is robust with respect to delayed impulses of which the magnitude strength is relatively small. Whereas, if the impulse strength is small, the time-delayed impulses can also promote the stability of unstable systems. Two numerical examples are employed to illustrate the efficiency of our results.
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