相同边界驱动半线性无限维系统的同步
系统与控制
2021-11-29 v5 系统与控制
摘要
本文研究一类无限维系统的同步问题。所考虑的网络由一组半线性Lipschitz边界驱动的无限维动力学描述。对于无向连通图，建立了渐近同步的充分条件。我们表明，当所提出的条件应用于双曲半线性守恒律系统时，可以转化为一组矩阵不等式。针对这类系统，提供了线性矩阵不等式形式的充分条件，用于设计同步策略。
引用
@article{arxiv.2104.07099,
title = {Synchronization of Identical Boundary-Actuated Semilinear Infinite-Dimensional Systems},
author = {Francesco Ferrante and Giacomo Casadei and Christophe Prieur},
journal= {arXiv preprint arXiv:2104.07099},
year = {2021}
}
备注
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