Affordable Access

Access to the full text

Synchronization of Identical Boundary-Actuated Semilinear Infinite-Dimensional Systems

Authors
  • Ferrante, Francesco
  • Casadei, Giacomo
  • Prieur, Christophe
Type
Published Article
Publication Date
Sep 01, 2021
Submission Date
Apr 14, 2021
Identifiers
DOI: 10.1109/LCSYS.2021.3081481
Source
arXiv
License
Yellow
External links

Abstract

This paper deals with synchronization of a class of infinite-dimensional systems. The considered network is described by a collection of semilinear Lipschitz boundary-actuated infinite-dimensional dynamics. For undirected connected graphs, sufficient conditions for asymptotic synchronization are established. We show that the proposed conditions when applied to systems of hyperbolic semilinear conservation laws can be recast into a set of matrix inequalities. For this class of systems, sufficient conditions in the form of linear matrix inequalities for the design of synchronizing policies are provided.

Report this publication

Statistics

Seen <100 times