Continuous-Time Linear Periodic Systems: A Note on the Controllability Interval Length

• 成果类型: Article
• 署名作者: Zaitsev, Vasilii
• 署名单位: Udmurt State University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3082511
• 发表日期: 2022
• 页码: 520-525
• 关键词: Continous-time systems; CONTROLLABILITY; periodic systems

摘要

Continuous-time linear systems with periodic coefficients of period. are considered in this article. We study the question of the controllability interval length of periodic systems. It is known that a controllable omega-periodic system is controllable over intervals of the length k omega, where k is the degree of the minimal polynomial of the monodromy matrix. It is proved that this boundary k omega is exact and cannot be decreased. It is proved that controllability of an omega-periodic system on some interval [tau, tau+ s omega] depends on the initial moment t, in general.