@inproceedings{584685ccc45843fd9e69014e5dc5df56,
title = "A Generalization of Smillie's Theorem on Strongly Cooperative Tridiagonal Systems",
abstract = "Smillie (1984) proved an interesting result on the stability of nonlinear, time-invariant, strongly cooperative, and tridiagonal dynamical systems. This result has found many applications in models from various fields including biology, ecology, and chemistry. Smith (1991) has extended Smillie's result and proved entrainment in the case where the vector field is time-varying and periodic. We use the theory of linear totally nonnegative differential systems developed by Schwarz (1970) to give a generalization of these two results. This is based on weakening the requirement for strong cooperativity to cooperativity, and adding an additional observability-type condition.",
author = "Eyal Weiss and Michael Margaliot",
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 = "https://doi.org/10.1109/CDC.2018.8619509",
language = "الإنجليزيّة",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3080--3085",
booktitle = "2018 IEEE Conference on Decision and Control, CDC 2018",
address = "الولايات المتّحدة",
}