Optimizing Pinned Nodes to Maximize the Convergence Rate of Multiagent Systems with Digraph Topologies
Joint Authors
Chen, Tianping
Han, Yujuan
Sun, Changkai
Lu, Wenlian
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper investigates how to choose pinned node set to maximize the convergence rate of multiagent systems under digraph topologies in cases of sufficiently small and large pinning strength.
In the case of sufficiently small pinning strength, perturbation methods are employed to derive formulas in terms of asymptotics that indicate that the left eigenvector corresponding to eigenvalue zero of the Laplacian measures the importance of node in pinning control multiagent systems if the underlying network has a spanning tree, whereas for the network with no spanning trees, the left eigenvectors of the Laplacian matrix corresponding to eigenvalue zero can be used to select the optimal pinned node set.
In the case of sufficiently large pinning strength, by the similar method, a metric based on the smallest real part of eigenvalues of the Laplacian submatrix corresponding to the unpinned nodes is used to measure the stabilizability of the pinned node set.
Different algorithms that are applicable for different scenarios are develped.
Several numerical simulations are given to verify theoretical results.
American Psychological Association (APA)
Han, Yujuan& Lu, Wenlian& Chen, Tianping& Sun, Changkai. 2019. Optimizing Pinned Nodes to Maximize the Convergence Rate of Multiagent Systems with Digraph Topologies. Complexity،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131692
Modern Language Association (MLA)
Han, Yujuan…[et al.]. Optimizing Pinned Nodes to Maximize the Convergence Rate of Multiagent Systems with Digraph Topologies. Complexity No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1131692
American Medical Association (AMA)
Han, Yujuan& Lu, Wenlian& Chen, Tianping& Sun, Changkai. Optimizing Pinned Nodes to Maximize the Convergence Rate of Multiagent Systems with Digraph Topologies. Complexity. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131692
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131692