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Diffusion and Consensus in a Weakly Coupled Network of Networks [article]

Yuhao Yi, Anirban Das, Stacy Patterson, Bassam Bamieh, Zhongzhi Zhang
2020 arXiv   pre-print
We study diffusion and consensus dynamics in a Network of Networks model. In this model, there is a collection of sub-networks, connected to one another using a small number of links.  ...  The second order analysis shows a relationship between the diffusion and convergence rates and the information centrality of the connecting nodes within each sub-network.  ...  Diffusion and Consensus in a Weakly Coupled Network of Networks Yuhao Yi, Anirban Das, Stacy Patterson, Bassam Bamieh, and Zhongzhi Zhang Abstract-We study diffusion and consensus dynamics in a Network  ... 
arXiv:2002.06109v1 fatcat:7gndu4u6azfljonnmj6pzwvsma

Symmetry-Induced Clustering in Multi-Agent Systems using Network Optimization and Passivity [article]

Miel Sharf, Daniel Zelazo
2019 arXiv   pre-print
This work studies the effects of a weak notion of symmetry on diffusively-coupled multi-agent systems.  ...  We focus on networks comprised of agents and controllers which are maximally equilibrium independent passive, and show that these converge to a clustered steady-state, with clusters corresponding to certain  ...  A diffusively-coupled system is weakly homogeneous if any two agents, and any two controllers, are weakly equivalent.  ... 
arXiv:1902.03410v1 fatcat:la4qwtxvcbg4jdfzw3jtblxs5m

Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics

Wei Qian, Lei Wang
2014 Abstract and Applied Analysis  
By employing a Lyapunov function and graph theory, a sufficient condition is presented for the global exponential consensus of the multiagent system.  ...  This paper addresses the global consensus of nonlinear multiagent systems with asymmetrically coupled identical agents.  ...  Acknowledgments This work is supported by the National Natural Science Abstract and Applied Analysis  ... 
doi:10.1155/2014/407269 fatcat:z5bchj675rhn3oc77bif7wdwei

Opinion and Consensus Dynamics in Tourism Digital Ecosystems [chapter]

Rodolfo Baggio, Giacomo Del Chiappa
2013 Information and Communication Technologies in Tourism 2014  
The harmonisation and coordination of stakeholders' views and the development of a consensus-based strategy are essential elements for destination competitiveness and growth.  ...  A tourism destination is a social network, with a group of interacting stakeholders, jointly producing the experience that the travellers consume.  ...  In these systems, as known, the diffusion of information and the reaching of a consensus on opinions that may be derived from policy measures devised by the destination governance entities is a crucial  ... 
doi:10.1007/978-3-319-03973-2_24 dblp:conf/enter/BaggioC14 fatcat:qxaumbqm35anbffgstgqzrpcxy

Exploiting Nodes Symmetries to Control Synchronization and Consensus Patterns in Multiagent Systems

Davide Fiore, Giovanni Russo, Mario di Bernardo
2017 IEEE Control Systems Letters  
We present new conditions to obtain synchronization and consensus patterns in complex network systems.  ...  We show that the new conditions we present offer a systematic methodology to design a distributed network controller able to drive a network of interest towards a desired synchronization/consensus pattern  ...  Left panel: a network of diffusively coupled identical oscillators.  ... 
doi:10.1109/lcsys.2017.2718840 fatcat:wd5u4maccbbznhv3pthx6zdwn4

Consensus formation in a switched Markovian dynamical system

Kevin Topley, Vikram Krishnamurthy, George Yin
2008 2008 47th IEEE Conference on Decision and Control  
We address the problem of distributively obtaining average-consensus among a connected network of sensors that each respectively track, by linear stochastic approximation, the stationary distribution of  ...  If the Markov chains share a common stationary distribution conditional on the regime, it is shown the sequence of sensor state-values weakly-converge to an average-consensus under the distributed linear  ...  In addition, the sequence of tracking errors between each sensor and the average-consensus, when properly scaled, is shown to converge weakly to the solution of a switching diffusion.  ... 
doi:10.1109/cdc.2008.4739488 dblp:conf/cdc/TopleyKY08 fatcat:2ehzeinqknefnfaj5ecm4m47ai

2018 Index IEEE Transactions on Control of Network Systems Vol. 5

2018 IEEE Transactions on Control of Network Systems  
Franchi, A., +, TCNS March 2018 3-13 Resilient First-Order Consensus and Weakly Stable, Higher Order Synchronization of Continuous-Time Networked Multiagent Systems.  ...  Resilient First-Order Consensus and Weakly Stable, Higher Order Synchronization of Continuous-Time Networked Multiagent Systems.  ...  Dynamic programming Information theory Information Flow in a Boolean Network Model of Collective Behavior. Porfiri, M.,  ... 
doi:10.1109/tcns.2019.2896050 fatcat:gwrx5cntwrfdzaodscu5jvrdhe

A network approach to economic models of fertility

Yoosik Youm, Byungkyu Lee
2016 Rationality and Society  
Social networks are crucial in determining the fertility rate of a society above and beyond parameters originally included in the neoclassical economic model in two ways.  ...  Couples need information about other couples' fertility decisions for their own and also normative pressures from other couples or friends are crucial in the dynamic process of fertility change.  ...  Assumption 5: (Nash product solution) When the spouse is weakly embedded into each other's social networks and thus, the wife can't expect a fair reward from the husband, now the couple is in the bargaining  ... 
doi:10.1177/1043463116658867 fatcat:fckpfmjfhzh4tf7u4zcmlugkwy

Cluster Assignment in Multi-Agent Systems [article]

Miel Sharf, Daniel Zelazo
2022 arXiv   pre-print
We consider homogeneous diffusive networks, and focus on design of the graph that ensures the system will converge to a prescribed cluster configuration, i.e., specifying the number of clusters and agents  ...  We study cluster assignment in multi-agent networks.  ...  A diffusively coupled network.  ... 
arXiv:2203.06642v1 fatcat:i4fksl7ms5gmhbygmeat7nleca

Extracting connectivity from dynamics of networks with uniform bidirectional coupling

Emily S. C. Ching, Pik-Yin Lai, C. Y. Leung
2013 Physical Review E  
Our method is built upon a noise-induced relation between the Laplacian matrix of the network and the dynamical covariance matrix of the nodes, and applies to networked dynamical systems in which the coupling  ...  Using examples of different networks and dynamics, we demonstrate that the method can give accurate connectivity information for a wide range of noise amplitude and coupling strength.  ...  We have presented a direct derivation of Eq. (8) for networks with the consensus dynamics, that is, networks with nodes having no intrinsic dynamics and with linear diffusive coupling to one another.  ... 
doi:10.1103/physreve.88.042817 pmid:24229235 fatcat:tarxpqcqubajzpyimlryx2tyoe

Weak and Semi-Contraction for Network Systems and Diffusively-Coupled Oscillators [article]

Saber Jafarpour, Pedro Cisneros-Velarde, Francesco Bullo
2020 arXiv   pre-print
Finally, we apply our results to various important network systems including affine averaging and affine flow systems, continuous-time distributed primal-dual algorithms, and networks of diffusively-coupled  ...  For diffusively-coupled systems, the semi-contraction theory leads to a sufficient condition for synchronization that is sharper, in general, than previously-known tests.  ...  , and networks of diffusively-coupled systems.  ... 
arXiv:2005.09774v8 fatcat:4zcvilnxrzgyhlcqxuuaydy3x4

Aperiodic dynamics in a deterministic adaptive network model of attitude formation in social groups

Jonathan A. Ward, Peter Grindrod
2014 Physica D : Non-linear phenomena  
Surprisingly, the combined effects of homophily and social influence do not necessarily lead to group consensus or global monoculture.  ...  Building on these basic elements, we propose a new mathematical modelling framework to describe the evolution of attitudes within a group of interacting agents.  ...  We would like to thank Jon Dawes, Michael Macy and those at the Centre for Mathematics of Human Behaviour for their valuable input, discussion and comments.  ... 
doi:10.1016/j.physd.2014.05.006 fatcat:ilryaydkqzcg3k7o5ndayxh2iq

Improving the Network Structure can lead to Functional Failures [article]

Jan Philipp Pade, Tiago Pereira
2014 arXiv   pre-print
In many real-world networks the ability to synchronize is a key property for its performance. Examples include power-grid, sensor, and neuron networks as well as consensus formation.  ...  Our results allow to identify the dynamical importance of a link and thereby have a major impact on the design and control of directed networks.  ...  Examples include power-grid [1] , sensor [2] , and neuron networks [3] as well as consensus formation [4] .  ... 
arXiv:1408.4684v1 fatcat:mqfzbzhsm5asxoribq3fhoqfom

Synchronization and Anti-synchroniztion of Dynamically Coupled Networks

Malgorzata Turalska, Adam Svenkeson, Bruce J. West
2019 New Journal of Physics  
We demonstrate that the dynamics of the mean field for a single network has an equivalent description in terms of a Langevin equation for a particle in a double-well potential.  ...  The anti-synchronized behavior is explained in terms of the potential function and the inter-network interaction.  ...  Acknowledgments The authors acknowledge the US Army Research Laboratory for support of this research.  ... 
doi:10.1088/1367-2630/ab0991 fatcat:mjkpfyzm45behaek5yjgqzeyfm

2020 Index IEEE Transactions on Cybernetics Vol. 50

2020 IEEE Transactions on Cybernetics  
., and Gao, H., Reference Trajectory Reshaping Optimi-zation and Control of Robotic Exoskeletons for Human-Robot Co-Manipulation; TCYB Aug. 2020 3740-3751 Wu, X., Jiang, B., Yu, K., Miao, c., and Chen,  ...  ., +, TCYB July 2020 3157-3168 TCYB May 2020 1887-1899 Diffusion Edge-Based Fractional-Order Adaptive Strategies for Synchronization of Fractional-Order Coupled Networks With Reaction-Diffusion Terms  ...  ., +, TCYB July 2020 3009-3022 Edge-Based Fractional-Order Adaptive Strategies for Synchronization of Fractional-Order Coupled Networks With Reaction-Diffusion Terms.  ... 
doi:10.1109/tcyb.2020.3047216 fatcat:5giw32c2u5h23fu4drupnh644a
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