Necessary and Sufficient Conditions for Assignability of Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems

• 成果类型: Article
• 署名作者: Babiarz, Artur; Cuong, Le Viet; Czornik, Adam; Doan, Thai Son
• 署名单位: Silesian University of Technology; National University of Civil Engineering; Vietnam Academy of Science & Technology (VAST)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3073061
• 发表日期: 2022
• 页码: 2039-2043
• 关键词: Time-varying systems; Linear systems; CONTROLLABILITY; Perturbation methods; Closed loop systems; Stability criteria; robots; Dichotomy spectrum; discrete time-varying linear systems; pole placement theorem; uniform complete controllability; uniform complete stabilization

摘要

We consider a version of the pole placement problem for one-sided linear discrete time-varying linear systems. Our purpose is to prove that uniform complete controllability is equivalent to possibility of arbitrary assignment of the dichotomy spectrum.