Finite-time stability of impulsive differential inclusion: Applications to discontinuous impulsive neural networks

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成果类型：

期刊论文

作者：

Wang, Zengyun;Cao, Jinde*;Cai, Zuowei;Huang, Lihong

通讯作者：

Cao, Jinde

作者机构：

[Wang, Zengyun] Hunan First Normal Univ, Dept Math, Changsha 410205, Hunan, Peoples R China.

[Cao, Jinde; Wang, Zengyun] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China.

[Cao, Jinde; Wang, Zengyun] Southeast Univ, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 210096, Jiangsu, Peoples R China.

[Cai, Zuowei] Hunan Womens Univ, Dept Informat Technol, Changsha 410002, Hunan, Peoples R China.

[Huang, Lihong] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.

通讯机构：

[Cao, Jinde] S

Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China.

Southeast Univ, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 210096, Jiangsu, Peoples R China.

语种：

英文

关键词：

Finite-time stability;impulsive differential inclusion;finite-time stable function pair;improved Lyapunov method;discontinuous impulsive neural networks

期刊：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

ISSN：

1531-3492

年：

2021

卷：

期：

页码：

2677-2692

DOI：

10.3934/dcdsb.2020200

基金类别：

NSF of ChinaNational Natural Science Foundation of China (NSFC) [11601143, 61833005]; Jiangsu Provincial Key Laboratory of Networked Collective Intelligence [BM2017002]; China Postdoctoral Science FoundationChina Postdoctoral Science Foundation [2018M632207]; Teaching Reform Project of Ordinary Colleges and Universities in Hunan Province [844]

机构署名：

本校为其他机构

院系归属：

数学与统计学院

摘要：

In this article, we present several results on Finite-Time Stability (FTS) of impulsive differential inclusion. In order to investigate the FTS problem, a new concept of Finite-Time Stable Function Pair (FTSFP) is proposed. By virtue of average impulsive interval and FTSFP, two unified criteria on FTS of impulsive differential inclusion are obtained, which are effective for both the destabilizing impulses and the stabilizing impulses. In addition, the settling-time depends not only on the initial value, but also on the information of impulsive sequence. As an extension, a delay-independent FTS...

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Finite-time stability of impulsive differential inclusion: Applications to discontinuous impulsive neural networks

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