@inproceedings{77dbcfec95364c1687016b3094862c02,
title = "Extending Negative Imaginary Systems Theory to Nonlinear Systems",
abstract = "In this paper, we extend the negative imaginary systems framework to nonlinear systems using Lyapunov and dissipativity theories. This enables us to extend some existing results from linear negative imaginary systems theory to nonlinear systems. In particular, asymptotic stability of a positive feedback interconnection of nonlinear negative imaginary systems has been established under suitable assumptions.",
keywords = "Counterclockwise dynamics, Feedback stability, Nonlinear negative imaginary systems, Passive systems",
author = "Ghallab, {Ahmed G.} and Mabrok, {Mohammed A.} and Petersen, {Ian R.}",
note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 57th IEEE Conference on Decision and Control, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",
year = "2018",
month = jul,
day = "2",
doi = "10.1109/CDC.2018.8619130",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2348--2353",
booktitle = "2018 IEEE Conference on Decision and Control, CDC 2018",
address = "United States",
}