@inproceedings{722af6104aa44cdaa78b6c6070101cf5,
title = "Nonlinear perturbation of a class of conservative linear system",
abstract = "In this article we show the existence and uniqueness of classical and generalized solutions of a class of nonlinear infinite dimensional systems. Such systems are obtained by modifying the second order differential equation that is part of the description of conservative linear systems {"}out of thin air{"}introduced by M. Tucsnak and G. Weiss in 2003. The modified system contains a new nonlinear damping term, that is maximal monotone and possibly set-valued and hence state trajectories obey a differential inclusion. We show that this new class of nonlinear infinite dimensional systems is incrementally scattering passive (hence well-posed). The proof is based on the Crandall-Pazy theorem which shows that the Lax-Phillips type nonlinear semigroup (that represents the entire system) is a contraction.",
author = "Shantanu Singh and George Weiss",
note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 61st IEEE Conference on Decision and Control, CDC 2022 ; Conference date: 06-12-2022 Through 09-12-2022",
year = "2022",
doi = "10.1109/CDC51059.2022.9992485",
language = "الإنجليزيّة",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "396--402",
booktitle = "2022 IEEE 61st Conference on Decision and Control, CDC 2022",
address = "الولايات المتّحدة",
}