On the Asymptotic Stability of 2-D Linear Inhomogeneous Systems

• 成果类型: Article
• 署名作者: Ju, Yanhao; Reis, Joel; Sun, Yuangong; Silvestre, Carlos
• 署名单位: Qilu University of Technology; Qilu University of Technology; University of Macau; University of Jinan; Universidade de Lisboa
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3549346
• 发表日期: 2025
• 页码: 5546-5552
• 关键词: Asymptotic stability; Stability criteria; Lyapunov methods; Sufficient conditions; Nonhomogeneous media; switches; Frequency modulation; Numerical stability; vectors; Two-dimensional displays; 2-D linear inhomogeneous systems (LISs); asymptotic stability

摘要

In this technical note, we investigate the stability of discrete-time 2-D linear inhomogeneous systems. Specifically, we establish sufficient conditions that guarantee both asymptotic and exponential stability. Compared to existing results, the conditions presented here relax the requirement for the negative definiteness of differences in (piecewise) Lyapunov functions, allowing these functions to grow over certain periods. Numerical examples are provided to illustrate the theoretical findings.