@inproceedings{cc4abb5744c64e0bafcf74d99dcde57f,
title = "Stability of piecewise affine systems with state-dependent delay, and application to congestion control",
abstract = "In this work, we consider the exponential stability of piecewise affine systems with time- And state-dependent delay, and delayed-state-dependent switching. The stability analysis is based on the use of Lyapunov-Krasovskii functionals, and is divided into two parts. First, global stability conditions are proposed in the case of systems with (state-independent) time-varying delay. Then, local stability conditions are derived in the case of systems with time- And state-dependent delay. In the latter case, estimations of the domain of attraction are also proposed. The theoretical results are applied to the congestion control problem, which can be modelled by such systems.",
author = "Christophe Fiter and Emilia Fridman",
year = "2013",
doi = "https://doi.org/10.1109/CDC.2013.6760106",
language = "الإنجليزيّة",
isbn = "9781467357173",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1572--1577",
booktitle = "2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013",
address = "الولايات المتّحدة",
note = "52nd IEEE Conference on Decision and Control, CDC 2013 ; Conference date: 10-12-2013 Through 13-12-2013",
}