@inproceedings{0717ef5417c346a79ec4cc9d84f52db5,
title = "Negative Imaginary State Feedback Equivalence for Systems of Relative Degree One and Relative Degree Two",
abstract = "This paper presents necessary and sufficient conditions under which a linear system of relative degree either one or two is state feedback equivalent to a negative imaginary (NI) system. More precisely, we show for a class of linear time-invariant strictly proper systems, that such a system can be rendered minimal and NI using full state feedback if and only if it is controllable and weakly minimum phase. A strongly strict negative imaginary state feedback equivalence result is also provided. The NI state feedback equivalence result is then applied in a robust stabilization problem for an uncertain system with a strictly negative imaginary uncertainty.",
keywords = "Negative imaginary systems, feedback equivalence, robust control, stabilization",
author = "Kanghong Shi and Petersen, {Ian R.} and Vladimirov, {Igor G.}",
note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 60th IEEE Conference on Decision and Control, CDC 2021 ; Conference date: 13-12-2021 Through 17-12-2021",
year = "2021",
doi = "10.1109/CDC45484.2021.9683005",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3948--3953",
booktitle = "60th IEEE Conference on Decision and Control, CDC 2021",
address = "United States",
}