@inbook{d1f7eb35cb6547a4a216da1a96e88987,
title = "Emergence of oscillations in networks of time-delay coupled inert systems",
abstract = "We discuss the emergence of oscillations in networks of single-input- single-output systems that interact via linear time-delay coupling functions.Although the systems itself are inert, that is, their solutions converge to a globally stable equilibrium, in the presence of coupling, the network of systems exhibits ongoing oscillatory activity.We address the problem of emergence of oscillations by deriving conditions for; 1. solutions of the time-delay coupled systems to be bounded, 2. the network equilibrium to be unique, and 3. the network equilibrium to be unstable. If these conditions are all satisfied, the time-delay coupled inert systems have a nontrivial oscillatory solution. In addition, we show that a necessary condition for the emergence of oscillations in such networks is that the considered systems are at least of second order.",
author = "E. Steur and S. Pogromskiy",
year = "2017",
doi = "10.1007/978-3-319-30357-4\_7",
language = "English",
isbn = "978-3-319-30356-7",
series = "Lecture Notes in Control and Information Sciences",
publisher = "Springer",
pages = "137--154",
editor = "\{van de Wouw\}, Nathan and Erjen Lefeber and \{Lopez Arteaga\}, Ines",
booktitle = "Nonlinear systems : techniques for dynamical analysis and control",
address = "Germany",
note = "International workshop on Nonlinear Systems in honor of Henk Nijmeijer{\textquoteright}s 60th birthday, 2016 ; Conference date: 21-01-2016 Through 21-01-2016",
}