@inproceedings{1d337301aec44f5b9b4ebed5e2e22ccb,
title = "Generalized Gain Margin assessment of Nonlinear Time-Invariant systems via Lyapunov's Second Method",
abstract = "Generalized Gain Margin (GGM) has recently been introduced as a Gain Margin (GM) like stability metric for nonlinear systems to gauge its exponential stability margin for vanishing regular perturbations. This paper provides GGM assessment methods using Lyapunov's Second Method (LSM) for Linear Time-Invariant (LTI) systems and Nonlinear Time-Invariant (NLTI) systems, which allows for time-varying gain perturbations. The effectiveness of the method is shown by two concrete examples. The results in this paper could also be extended to linear time-varying and nonlinear time-varying systems using Lyapunov functions for time-varying systems.",
keywords = "Nonlinear systems, Stability of linear systems, Stability of nonlinear systems",
author = "Xiaojing Yang and Zhu, \{J. Jim\}",
year = "2014",
doi = "10.1109/ACC.2014.6859022",
language = "英语",
isbn = "9781479932726",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3017--3022",
booktitle = "2014 American Control Conference, ACC 2014",
address = "美国",
note = "2014 American Control Conference, ACC 2014 ; Conference date: 04-06-2014 Through 06-06-2014",
}