Unified stability criteria of asynchronous discrete-time impulsive switched delayed systems: bounded admissible edge-dependent average dwell time method

被引：3
作者：
Li, Mengjie [1 ]
Liu, Zihan [1 ]
Sun, Tao [1 ]
Gao, Lijun [1 ]
机构：
[1] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2023年 / 54卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Asynchronous switching and impulse; bounded admissible edge-dependent average dwell time; admissible edge-dependent average impulsive interval; input-to-state stability; stable subsystems and unstable subsystems; TO-STATE STABILITY; STOCHASTIC-SYSTEMS; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; STABILIZATION; GAIN;
D O I：
10.1080/00207721.2023.2230469
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 investigates input-to-state stability (ISS) problem of asynchronous discrete-time impulsive switched delayed systems, in which switching and impulse may be asynchronous. A novel bounded admissible edge-dependent average dwell time (BAED-ADT) switching signal is designed. Based on this division rule of switching subsystems, we adopt the slow switching method for the stable subsystems and the fast switching method for the unstable subsystems, so that stable subsystems can compensate unstable subsystems. Combined with admissible edge-dependent average impulsive interval (AED-AII) impulsive signal, a new unified ISS stability result is established, which could be applied to impulsive switched systems with an arbitrary combination of unstable and stable subsystems. Without solving the linear matrix inequality, it is allowed to readjust the AED-ADT boundary of the newly proposed stability condition according to the actual impulsive and switching signal. Further, compared with the existing fruits, the new stability condition is an extension and improvement of the previous one, which is less conservative. Several numerical examples are provided to show the validity of the conditions and the advantages of the theoretic results.
引用
收藏
页码：2382 / 2406
页数：25
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