Stability Analysis for Hybrid Systems With Continuous and Logical Dynamics

• 成果类型: Article
• 署名作者: Wang, Qiyao; Sun, Jitao
• 署名单位: Tongji University; Nantong University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3641956
• 发表日期: 2026
• 关键词: Exponential stability; set stabilization; delay; INEQUALITY; networks; DESIGN; MODEL

摘要

In this note, we address the stability problem for a class of hybrid systems, which contains continuous and logical dynamics. First, we introduce the so-called hybrid system in detail, and give the algebraic form of the system utilizing the semi-tensor product (STP, i.e., Cheng product) of matrices. Next, a new stability concept for the hybrid system is proposed by extending the definitions of set stability and exponential stability. After that, several stability criteria are presented by employing Lyapunov-like functions and STP. Accordingly, the stability conditions in some special cases are derived. Finally, the theoretical results are illustrated by some numerical examples.