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Article
Computer Science, Information Systems
Daquan Li et al.
Summary: We study the impact of the distance between two hubs on network coherence measured by Laplacian eigenvalues. By analyzing a family of tree networks with two hubs controlled by parameters, we find that shorter distance and larger difference in hub degrees result in higher coherence. Additionally, we establish a linear correlation between network coherence and average path length.
FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING
(2023)
Review
Computer Science, Artificial Intelligence
Abdollah Amirkhani et al.
Summary: This paper provides a review of the consensus problem in the distributed control of multi-agent systems (MASs), covering various consensus algorithms, consensus-related problems, common control techniques, and prevalent consensus applications in MASs.
ARTIFICIAL INTELLIGENCE REVIEW
(2022)
Article
Physics, Applied
Tongchun Hu et al.
Summary: This paper applies the leaderless coherence and leader-follower coherence defined by the Laplacian spectrum to noisy trees with given parameters. Analytical solutions for these consensus algorithms are obtained based on the tree's structures. Results show that a bigger difference in the degrees of the hub nodes leads to higher coherence, and a tree without a leader achieves better consensus. Furthermore, the leader-follower coherence increases with more leaders and larger network parameters.
MODERN PHYSICS LETTERS B
(2022)
Article
Mathematics, Applied
Shahid Zaman
Summary: This paper studies the eigenvalues, Laplacian matrix, and Kirchhoff index of rounded networks. By using the decomposition theorem of Laplacian polynomial, explicit formulas are obtained and applied to the number of spanning trees and mean-first passage time. Additionally, it is shown that the Kirchhoff index of N-n is approximately 1/3 of its Wiener index.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
(2022)
Article
Automation & Control Systems
Sabyasachi Bhattacharyya et al.
Summary: This paper introduces the positive state consensus problem of a network of homogeneous LTI positive agents, and applies a hierarchical control protocol to achieve finite positive state consensus over directed networks. The minimal state-space realization for the interconnected positive agents is derived without the restriction of an internally positive state-space realization. A set of sufficient conditions and controller gain matrices are obtained through linear programming framework, and an observer-based hierarchical control protocol is proposed for achieving finite positive state consensus. Numerical examples are provided to demonstrate the usefulness of the proposed results.
Article
Physics, Multidisciplinary
Haiping Gao et al.
Summary: This paper studies the coherence of three types of symmetric star topology networks and finds that the change in branch length has a more effective impact on network consensus. The third network demonstrates the best consensus.
FRONTIERS IN PHYSICS
(2022)
Article
Physics, Applied
Jing Chen et al.
Summary: In this paper, a family of unicyclic graphs is proposed to study the robustness of network coherence under structural asymmetries. Results show that the coherence of asymmetric graphs is higher than symmetric graphs, and the consensus behaviors of graphs with different asymmetric structures are compared. Moreover, it is found that bigger difference of degrees of hub nodes leads to better coherence.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2021)
Article
Physics, Multidisciplinary
Ting Jing et al.
Summary: This paper investigates noisy consensus dynamics in two specific families of weighted ring-trees networks and recursive trees. It demonstrates the significance of weights in consensus behaviors and scalings, showing that ring-trees networks are more conducive to consensus compared to trees.
Article
Mathematics, Interdisciplinary Applications
Jia-Bao Liu et al.
Summary: This paper proposes a family of nested weighted n-polygon networks, studies the coherence of networks with recursive features, and investigates the influential impacts on coherence for different large parameters. By deriving recursive expressions of Laplacian eigenvalues, the exact results of first- and second-order coherence are obtained, and the relationship between Laplacian energy and network coherence is discussed. Additionally, expressions of Kirchhoff index, mean first-passage time, and average path length of the networks are derived.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2021)
Article
Multidisciplinary Sciences
Da Huang et al.
Summary: This article investigates the consensus-related performances of triplex multi-agent systems with star-related structures by characterizing the Laplacian spectra. Graph operations and spectra methods are used to construct and analyze the networks, showing specific behaviors as parameters tend to infinity. Results indicate that adherence to star topologies in triplex structures leads to certain effects on coherence as parameters increase.
Article
Automation & Control Systems
Yuhao Yi et al.
IEEE TRANSACTIONS ON CYBERNETICS
(2020)
Article
Automation & Control Systems
Yilun Shang
Article
Automation & Control Systems
Yi Qi et al.
IEEE TRANSACTIONS ON CYBERNETICS
(2019)
Article
Mathematics, Interdisciplinary Applications
Yue Zong et al.
CHAOS SOLITONS & FRACTALS
(2018)
Article
Engineering, Mechanical
Can Xu et al.
NONLINEAR DYNAMICS
(2018)
Article
Mathematics, Applied
Dimitris Karayannakis et al.
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY
(2018)
Article
Automation & Control Systems
Stacy Patterson et al.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2014)
Article
Physics, Fluids & Plasmas
Francesc Comellas et al.
Article
Automation & Control Systems
W Ren et al.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2005)
Article
Automation & Control Systems
R Olfati-Saber et al.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2004)
