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

Fiore, Davide; Russo, Giovanni; Bernardo, Mario di

doi:10.1109/lcsys.2017.2718840

Cited by 21 publications

(13 citation statements)

References 31 publications

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“…The aim of controlling cluster synchronization is to induce a synchronization regime where the networked system splits in groups of nodes, also called clusters, such that all the nodes in a cluster are synchronized, while different clusters exhibit distinct dynamical behaviors. This goal is reached with techniques based on pinning control [18], intermittent pinning control [24], aperiodically intermittent pinning control [25], or exploiting the network symmetries [26], [27].…”

Section: Introductionmentioning

confidence: 99%

Distributed Control of Synchronization of a Group of Network Nodes

Gambuzza

Frasca

Latora

2019

IEEE Trans. Automat. Contr.

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Synchronization in networked systems of diffusively coupled oscillators is a ubiquitous, well studied phenomenon, and many techniques have been proposed to control all the network nodes towards a common reference trajectory. In this technical note, instead, we study the problem of synchronizing an arbitrary subset of the nodes of a network at a fixed coupling strength, disregarding the state of the remaining ones. This problem is inspired to what observed in many biological systems, where the functionality of the network is associated to the presence of clusters of synchronous nodes and, on the contrary, is lost when all the nodes synchronize. We propose a distributed control that introduces further interactions between the oscillators guaranteeing the onset and the stability of the desired synchronous manifold. The controllers are designed so that a proper set of symmetries is created in the network. In addition, we show that the stability of the synchronization pattern mainly depends on the degree of the nodes to synchronize and can be, therefore, controlled by increasing it. Finally, we provide numerical examples illustrating our results.

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Section: Introductionmentioning

confidence: 99%

Distributed Control of Synchronization of a Group of Network Nodes

Gambuzza

Frasca

Latora

2019

IEEE Trans. Automat. Contr.

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“…It is already known that the structural balance condition endows the network topology with symmetries and drives network dynamics towards a desired synchronization or polarization pattern [16]. In addition to symmetries of network topology, the authors of [31] have shown that the symmetries of the nodes' vector fields are also of key importance to attain the specific synchronization pattern in opinion dynamics with the generalized ODE model (1). The rationale behind the idea is to examine Γ-equivariance of the intrinsic node dynamics.…”

Section: Theoremmentioning

confidence: 99%

“…For structurally balanced networks, the opinion dynamics of LTI systems (4) is naturally Γ-equivariant thanks to the fact that π i I commutes with every system matrix F i where i ∈ V a . For more results on symmetries and equivariance in collective behavior analysis of networked systems, readers are referred to [31], [32]. Remark 5.…”

Section: Theoremmentioning

confidence: 99%

Opinion Behavior Analysis in Social Networks Under the Influence of Coopetitive Media

Xue

Hirche

Cao

2020

IEEE Trans. Netw. Sci. Eng.

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Both interpersonal communication and media contact are important information sources and play a significant role in shaping public opinions of large populations. In this article, we investigate how the opinion-forming process evolves over social networks under the media influence. In addition to being affected by the opinions of their connected peers, the media cooperate and/or compete mutually with each other. Networks with mixed cooperative and competitive interactions are said to be coopetitive. In this endeavor, a novel mathematical model of opinion dynamics is introduced, which captures the information diffusion process under consideration, makes use of the community-based network structure, and takes into account personalized biases among individuals in social networks. By employing port-Hamiltonian system theory to analyze the modeled opinion dynamics, we predict how public opinions evolve in the long run through social entities and find applications in political strategy science. A key technical observation is that as a result of the port-Hamiltonian formulation, the mathematical passivity property of individuals' self-dynamics facilitates the convergence analysis of opinion evolution. We explain how to steer public opinions towards consensus, polarity, or neutrality, and investigate how an autocratic media coalition might emerge regardless of public views. We also assess the role of interpersonal communication and media exposure, which in itself is an essential topic in mathematical sociology.

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“…Early consensus works focus on MASs with very primitive individual agent dynamics (such as single integrators or double integrators) [5][6][7][8], where only the information exchange among agents determines time evolution of the networks. Starting from them, the MASs with finite-dimensional linear dynamics have enticed intensive attention from the control community, which are more general and include integrator dynamics as a special case [9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Output Consensus of Heterogeneous Multiagent Systems with Physical and Communication Graphs

2018

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This paper deals with the output consensus problem of heterogeneous networks in a leader-follower manner that are interconnected by a physical coupling graph. The network under consideration consists of linear agents with different dynamics/dimensions. Both the state-feedback and output-feedback control protocols based upon information flow prescribed by a separate communication graph are developed, using the internal model principle and relative outputs of neighboring agents. With the small-gain theorem, we convert the consensus problem into a H∞ control problem of decoupled linear systems having the same dimensions as a single agent, where the disturbance attenuation constraints depend on the largest singular value related to the global information of physical and communication graphs. Then, we provide local synthesis procedures for control gains in terms of feasible solutions of algebraic Riccati equations. Finally, simulation examples are presented to verify the performance of the theoretical results.

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

Cited by 21 publications

References 31 publications

Distributed Control of Synchronization of a Group of Network Nodes

Distributed Control of Synchronization of a Group of Network Nodes

Opinion Behavior Analysis in Social Networks Under the Influence of Coopetitive Media

Output Consensus of Heterogeneous Multiagent Systems with Physical and Communication Graphs

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