论文标题

非最小线性时间不变系统的哈米尔顿港实现

Port-Hamiltonian Realizations of Nonminimal Linear Time Invariant Systems

论文作者

Beattie, Christopher, Mehrmann, Volker, Xu, Hongguo

论文摘要

研究了开发一般线性时间不变系统港口港口表示的数值方法。该方法将先前的港口 - 哈米尔顿港特征扩展到包括一般非最小情况和进料期限无法具有可逆的对称部分的情况。当系统无法成为哈米尔顿港时,所得的构造能够识别出不可行的性,并允许掺入扰动以达到附近的哈米尔顿港系统。结果通过数值示例说明。

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.

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