Stability Analysis of Block Logical Dynamical Systems and Its Application in Logical Networks With Time Delay

• 成果类型: Article
• 署名作者: Li, Haitao; Li, Yalu; Li, Wenrong; Liu, Yansheng
• 署名单位: Shandong Normal University; Qingdao University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3394549
• 发表日期: 2024
• 页码: 7211-7215
• 关键词: Stability criteria; Delay effects; Circuit stability; dynamical systems; vectors; regulation; Nonlinear systems; Algebraic state space representation; block logical dynamical system (BLDS); logical network; STABILITY; time delay

摘要

A new class of nonlinear systems, block logical dynamical systems (BLDSs), is introduced in this note. The existence and uniqueness of solution to BLDSs are first investigated. Then, the topological structure and global stability of BLDSs are analyzed, and a novel criterion is presented to verify the global stability of BLDSs. Finally, the stability of BLDSs is used to study the stability of logical networks subject to time delay. It is shown that the introduction of BLDSs can considerably reduce the computational complexity of verifying the stability of logical networks with time delay.