State-Space Realization of Periodic i/o Behaviors

• 成果类型: Article
• 署名作者: Aleixo, Jose Carlos; Rocha, Paula
• 署名单位: Universidade da Beira Interior; Universidade da Beira Interior; Universidade do Porto; Universidade do Porto
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3008391
• 发表日期: 2021
• 页码: 2825-2831
• 关键词: Discrete-time systems; input/output (i/o) systems; periodic behaviors; system realization

摘要

This article addresses the realization of linear periodic input/output (i/o) behaviors. Given a periodic behavior, we obtain its lifted time-invariant version, and construct a behavioral time-invariant (state-space) realization of the lifted behavior. Finally, we recover a periodic (state-space) realization of the periodic behavior based on the obtained time-invariant realization.