Rational Orthonormal Bases, State Transformations, and Dissipativity

• 成果类型: Article
• 署名作者: Ohta, Yoshito; Rapisarda, Paolo
• 署名单位: Kyoto University; University of Southampton
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3070244
• 发表日期: 2022
• 页码: 2019-2026
• 关键词: trajectory; Aerospace electronics; Transforms; Time-varying systems; Signal processing algorithms; Robust control; Mathematical model; computational methods; Linear systems; orthonormal bases; subspace identification methods; time varying systems

摘要

We establish formulas relating the state of a continuous-time system with that of the transformed one in a Takenaka-Malmquist-Kautz orthogonal basis. We use such relation to give a simple proof that if the original system is dissipative, then the transformed one is also dissipative with the same storage function. We apply our results to continuous-time subspace system identification.