Finite-time stability of hybrid systems with continuous and Boolean dynamics

被引：3
作者：
Wang, Qiyao [1 ]
Sun, Jitao [1 ,2 ]
机构：
[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
[2] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2023年 / 49卷
基金：
中国国家自然科学基金;
关键词：
Hybrid; Boolean; Finite-time stability (FTS); Semi-tensor product (STP); SET STABILIZATION; COMPLEX NETWORKS; CONTROLLABILITY;
D O I：
10.1016/j.nahs.2023.101375
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The hybrid systems with continuous and discrete variables can be used to describe many real-world phenomena. In this paper, by generalizing the mathematical form of gene regulatory networks, a novel class of hybrid systems consisting of continuous and Boolean dynamics is investigated. Firstly, the new hybrid system is introduced in detail, and a concept of finite-time stability (FTS) for it is proposed. Next, the existence and uniqueness of solutions are proved by fixed point theory. Furthermore, based on Lyapunov functions and the semi-tensor product (STP), i.e., Cheng product, some sufficient conditions of FTS for the hybrid systems are presented. The main results are illustrated by two numerical examples. (C) 2023 Elsevier Ltd. All rights reserved.
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页数：13
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