Finite-time stability and stabilization of discrete-time hybrid systems

被引：3

作者：

Wang, Qiyao ^{[1
,2
]}

Lu, Guoping ^{[3
]}

Zhao, Min ^{[4
]}

Sun, Jitao ^{[1
,4
]}

机构：

[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

[2] Tongji Univ, Key Lab Intelligent Comp & Applicat, Minist Educ, Shanghai 200092, Peoples R China

[3] Nantong Univ, Sch Elect Engn & Automat, Nantong 226019, Peoples R China

[4] Nantong Univ, Sch Math & Stat, Nantong 226019, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2024年 / 189卷

基金：

中国国家自然科学基金;

关键词：

Hybrid; Boolean; Finite-time stability; Feedback control; Logical control; BOOLEAN CONTROL NETWORKS; SET STABILIZATION; DYNAMICS; LOGIC; CONTROLLABILITY;

D O I：

10.1016/j.sysconle.2024.105832

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 paper is concerned with the finite -time stability and stabilization problems for a class of hybrid systems, which consists of discrete -time continuous -valued and Boolean dynamics. First, we introduce the so-called systems briefly and give the algebraic form of the systems via Khatri-Rao product and semi -tensor product (STP, i.e., Cheng product). Next, we originally propose the concept of finite -time stability (FTS) for the hybrid systems. Furthermore, some criteria of FTS for the hybrid systems are provided. Via a lemma we present, the computational complexity of the condition on FTS for the logical part could be reduced to O (1) . Based on these obtained results, two classes of controllers, state feedback controllers and logical controllers, are designed. Finally, two numerical examples are given to demonstrate the effectiveness of the theoretical results.

引用

页数：9

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