Leader-Follower Synchronization of a Network of Boundary-Controlled Parabolic Equations With In-Domain Coupling
Optimization and Control
2022-01-04 v1 Systems and Control
Systems and Control
Abstract
In this letter, we study the leader-synchronization problem for a class of partial differential equations with boundary control and in-domain coupling. We describe the problem in an abstract formulation and we specialize it to a network of parabolic partial differential equations. We consider a setting in which a subset of the followers is connected to the leader through a boundary control, while interconnections among the followers are enforced by distributed in-domain couplings. Sufficient conditions in the form of matrix inequalities for the selection of the control parameters enforcing exponential synchronization are given. Numerical simulations illustrate and corroborate the theoretical findings.
Keywords
Cite
@article{arxiv.2201.00343,
title = {Leader-Follower Synchronization of a Network of Boundary-Controlled Parabolic Equations With In-Domain Coupling},
author = {Abbas Kabalan and Francesco Ferrante and Giacomo Casadei and Andrea Cristofaro and Christophe Prieur},
journal= {arXiv preprint arXiv:2201.00343},
year = {2022}
}
Comments
V1 matches published version