arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2201.05355math.OCcs.NAmath.NA

非最小线性时不变系统的端哈密顿实现

Port-Hamiltonian Realizations of Nonminimal Linear Time Invariant Systems

Christopher Beattie, Volker Mehrmann, Hongguo Xu

AI总结:

本文研究了非最小线性时不变系统的端哈密顿表示方法,提出了一种能处理反馈项不可逆情况的构造方法,并通过数值实验验证了其有效性。

摘要:

开发通用线性时不变系统端哈密顿表示的数值方法被研究。该方法扩展了之前的端哈密顿特征,以包括一般非最小情况以及反馈项无法具有可逆对称部分的情况。所得到的构造能够识别当系统不为端哈密顿时的不可行性,并允许引入扰动以获得附近的端哈密顿系统。结果通过数值示例进行说明。

英文摘要:

Numerical methods for developing port-Hamiltonian representations of general linear time-invariant systems are studied. The approach extends previous port-Hamiltonian characterizations to include the general non-minimal case and the case where the feedthrough term fails to have an invertible symmetric part. The resulting construction is able to identify infeasibility when the system fails to be port-Hamiltonian, and allows for the incorporation of perturbations in order to arrive at a nearby port-Hamiltonian system. Results are illustrated via numerical examples.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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