Input-Output Gain Analysis of Linear Discrete-Time Systems With Cone Invariance

• 成果类型: Article
• 署名作者: Zhu, Bohao; Lam, James; Shen, Jun; Cui, Yukang; Lu, Xiujuan; Kwok, Ka-Wai
• 署名单位: University of Hong Kong; Nanjing University of Aeronautics & Astronautics; Shenzhen University; Chinese University of Hong Kong
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3412010
• 发表日期: 2024
• 页码: 8751-8757
• 关键词: Asymptotic stability; vectors; Stability criteria; gain; Delay effects; solids; Mechanical engineering; Cone invariance; input-output gain; positive systems; static gain

摘要

This article investigates the input-output gain of linear discrete-time cone-preserving systems. The cone linear absolute-norm and cone max-norm, which are applied to describe input-output gains of cone-preserving systems, are introduced. Subsequently, by utilizing the property of cone-preserving systems, several necessary and sufficient conditions to characterize input-output gains of the system in terms of cone-induced norms are provided. The results indicate that input-output gains of cone-preserving systems can be characterized by the static gain matrix. The duality between the two cone-induced gains is also unveiled.