An Improved Method for Exponential Stability Analysis of Switched Delay Systems Under Constrained Switching

• 成果类型: Article
• 署名作者: Li, Xu; Liu, Haibo; Liu, Kun-Zhi; Wang, Yongqing
• 署名单位: Dalian University of Technology; Dalian University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3346805
• 发表日期: 2024
• 页码: 3411-3417
• 关键词: Constrained switching; exponential stability; multiple functionals; switched delay systems

摘要

The multiple Lyapunov-Krasovskii functionals method plays an important role in exponential stability analysis of switched delay systems under constrained switching. When the method is applied to a switched delay system, the condition that each subsystem should have its own functional is essential. In this article, an improved exponential stability analysis method is presented for nonlinear switched delay systems under constrained switching. This is achieved by weakening the essential condition. Then, the improved method is used to derive new stability conditions for linear switched delay systems under constrained switching. Finally, an example is given to illustrate that the proposed method is effective and the obtained conditions are less conservative.