New Results on the Characterization of Strictly Positive Real Matrix Transfer Functions

• 成果类型: Article
• 署名作者: Hakimi-Moghaddam, Mojtaba; Ferrante, Augusto
• 署名单位: Quchan University of Technology; University of Padua
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.2980936
• 发表日期: 2021
• 页码: 335-339
• 关键词: Eigenvalues and eigenfunctions; Transfer functions; Hybrid fiber coaxial cables; Frequency-domain analysis; control theory; Markov processes; pathology; Graphical test; High-frequency condition (HFC); strictly positive real (SPR) systems

摘要

In this article, we analyze the high-frequency condition that discriminates strictly positive real systems from weakly strictly positive real ones. Different versions of this condition have been proposed in the literature. We consider the general case of multi-input-multi-output (MIMO) systems and derive new equivalent conditions. A graphic interpretation is also presented. In comparison to the existing literature, the conditions derived here are easier to check, especially for large dimension systems and high-order systems. Several illustrative examples are provided to support the results.