Sufficient conditions on finite-time input-to-state stability of nonlinear impulsive systems: a relaxed Lyapunov function method

被引：8
|
作者：
Wang, Zengyun [1 ,2 ,3 ]
Cao, Jinde [2 ,4 ]
Cai, Zuowei [5 ]
机构：
[1] Hunan First Normal Univ, Dept Math, Changsha, Hunan, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Southeast Univ, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 210096, Jiangsu, Peoples R China
[4] Yonsei Univ, Yonsei Frontier Lab, Seoul, South Korea
[5] Hunan Womens Univ, Dept Informat Technol, Changsha, Hunan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2022年 / 95卷 / 11期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Finite-time input-to-state stability; nonlinear impulsive system; finite-time stable function pair; generalised KL function; relaxed Lyapunov function method; STABILIZATION; DELAY; ROBUSTNESS; NETWORKS; FEEDBACK;
D O I：
10.1080/00207179.2021.1949044
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article presents sufficient conditions on Finite-Time Input-to-State Stability (FTISS) of nonlinear impulsive systems, which gathers the analysis of Input-to-State stability (ISS) and finite-time convergence rate. By utilising the Finite-Time Stable Function Pair (FTSFP) and Generalised KL (GKL) function, we established an unified FTISS criterion for nonlinear impulsive systems, in which the impulses maybe beneficial to stabilisation or detrimental to stabilisation. Moreover, a relaxed Lyapunov Function (LF) method is used to investigate FTISS. Compared with the traditional LF method, the main advantage is that the constructed LF is permitted to own indefinite-derivative. As a special case of FTISS, a corollary on Finite-Time Stability (FTS) is established, which is applicable to investigate the realisation of FTS for nonlinear system via impulsive control strategy. Finally, the proposed results are supported by two practical numerical examples.
引用
收藏
页码：2992 / 3001
页数：10
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