@article{96b15010fb654706a9ac6be1b315d69e,
title = "Event-triggered control of Korteweg–de Vries equation under averaged measurements",
abstract = "This work addresses distributed event-triggered control law of 1-D nonlinear Korteweg–de Vries (KdV) equation posed on a bounded domain. Such a system, in a continuous framework, is exponentially stabilizable by a linear state feedback as a source term. Here we consider the situation where the feedback is sampled in time and piecewise averaged in space, and an event-triggering mechanism is designed to maintain stability of this infinite dimensional system. Both well-posedness of the closed-loop system and avoiding the Zeno behaviour issues are addressed. Sufficient LMI-based conditions are constructed to guarantee the regional exponential stability. Numerical examples illustrate the efficiency of the method.",
keywords = "Event-trigger, Korteweg–de Vries equation, LMIs",
author = "Wen Kang and Lucie Baudouin and Emilia Fridman",
note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",
year = "2021",
month = jan,
doi = "10.1016/j.automatica.2020.109315",
language = "אנגלית",
volume = "123",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier Ltd.",
}