Synchronization of Identical Boundary-Actuated Semilinear Infinite-Dimensional Systems
arXiv:2104.07099 · doi:10.1109/LCSYS.2021.3081481
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.
V1 is the extended version of the original submission before peer review. V2 is the extended version revised based on reviewers' feedback. V2 fixes a number of mistakes and typos in V1. In particular, an oversight in the statement of Proposition 2 has been fixed and title has been updated. V3 includes the link to the published version. V4 fixes a missing symbol in the published version