Title
Scaled Consensus Over a Network of Wave Equations
Abstract
In this article, the scaled consensus issue for a network of wave partial differential equations is investigated in a directed communication setting, where the agent states approach the dictated ratios. To this end, a distributed protocol is proposed for the considered system. Then, a Lyapunov function is constructed to ensure scaled consensus, wherein the properties of algebraic connectivity are employed to handle the asymmetric interaction matrix. Using tools from semigroup theory, the well-posedness of the underlying system is guaranteed. Moreover, we extend the derived results to a leader-following scaled consensus scenario. Numerical examples are presented to support the proposed setup.
Year
DOI
Venue
2022
10.1109/TCNS.2022.3153870
IEEE Transactions on Control of Network Systems
Keywords
DocType
Volume
Directed topologies,leader-following scaled consensus,partial differential equations (PDEs),scaled consensus
Journal
9
Issue
ISSN
Citations 
3
2325-5870
0
PageRank 
References 
Authors
0.34
38
3
Name
Order
Citations
PageRank
Yining Chen100.34
Zhiqiang Zuo233436.94
Yijing Wang3349.28