@inproceedings{0ea4716f68f1443b95ea8c8ed5f11a53,
title = "Some Local Stability Properties of an Autonomous Long Short-Term Memory Neural Network Model",
abstract = "In this paper some local stability results for an autonomous Long Short-Term Memory neural network model with respect to the origin are provided. In particular, it is shown through linearization that the local asymptotic stability conditions with respect to the origin only depend on one of the weight matrices. Simulations indicate that these local stability conditions greatly influence the behavior of the autonomous four-dimensional neural network in the region where each variable's values vary between minus one and one. Finally, some sufficient stability conditions for the nonlinear model are formulated as a convex program involving linear matrix inequalities.",
author = "Stipanovi{\'c}, {Du{\v s}an M.} and Boris Murmann and Matteo Causo and Aleksandra Leki{\'c} and Royo, {Vicen{\c c} Rubies} and Tomlin, {Claire J.} and Edith Beigne and Sebastien Thuries and Mykhailo Zarudniev and Suzanne Lesecq",
note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE International Symposium on Circuits and Systems, ISCAS 2018 ; Conference date: 27-05-2018 Through 30-05-2018",
year = "2018",
month = apr,
day = "26",
doi = "10.1109/ISCAS.2018.8350958",
language = "English (US)",
series = "Proceedings - IEEE International Symposium on Circuits and Systems",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2018 IEEE International Symposium on Circuits and Systems, ISCAS 2018 - Proceedings",
address = "United States",
}