Properties of Fundamental Matrix Groups for High-Order Linear Time-Invariant Systems

• 成果类型: Article
• 署名作者: Wu, Ai-Guo
• 署名单位: Harbin Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3549689
• 发表日期: 2025
• 页码: 5530-5537
• 关键词: Linear systems; CONTROLLABILITY; Time-varying systems; Laplace equations; DELAYS; training; reduced order systems; observability; Nonlinear systems; discrete-time systems; Commutativity-like property; fundamental matrix group; high-order system; state response

摘要

In this article, commutativity-like relations between the fundamental matrix groups and the system matrices are established for high-order continuous-time and discrete-time linear time-invariant systems. With the aid of the commutativity-like properties, alternative proofs of the formulae for state responses are provided for these two classes of high-order linear time-invariant systems.