Distributed node-to-node consensus of multi-agent systems with time-varying pinning links

Wen, Guanghui; Yu, Wenwu; Wang, Jingyao; Xu, Dabo; Cao, Jinde

doi:10.1016/j.neucom.2014.08.057

Cited by 45 publications

(24 citation statements)

References 38 publications

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“…It is supposed that one network is the leaders' layer and the other one is the followers' layer and that both the leaders' network and the followers' network have the same topology structure. A novel event‐triggered pinning control protocol is proposed, which is the main difference from the existing related results . Only a small fraction of followers can directly communicate with their corresponding leaders, and the pinning control will be updated only if the event‐triggered condition is violated.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the distributed consensus problem of multi‐agents networks with interacting leaders has been addressed , which is more general and realistic. The multi‐agent networks considered in can be divided into two layers, i.e. , the leaders' layer and the followers' layer, then each follower will track the corresponding leader asymptotically by the given consensus protocols.…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, it should be noted that in most of the existing works on leader-following consensus, networks have been supposed to possess only one leader or multiple leaders with no interaction. Recently, the distributed consensus problem of multi-agents networks with interacting leaders has been addressed [25][26][27][28][29], which is more general and realistic. The multi-agent networks considered in [25][26][27][28][29] can be divided into two layers, i.e., the leaders' layer and the followers' layer, then each follower will track the corresponding leader asymptotically by the given consensus protocols.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, the distributed consensus problem of multi-agents networks with interacting leaders has been addressed [25][26][27][28][29], which is more general and realistic. The multi-agent networks considered in [25][26][27][28][29] can be divided into two layers, i.e., the leaders' layer and the followers' layer, then each follower will track the corresponding leader asymptotically by the given consensus protocols. For instance, distributed consensus of networks with two layers has been realized via time-varying pinning control [26], consensus of networks with two layers including nonlinear dynamics and communication constraints has been investigated in [28], and the mean square consensus problem of networks with two layers has been studied under stochastic sampling [29].…”

Section: Introductionmentioning

confidence: 99%

“…The coupling strength c and event-triggered parameters i (i = 1, 2) also are selected the same as those given in Example 1. Then, the matrix inequalities in (27) and (28) can be solved with feasible solutions. Fig.…”

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confidence: 99%

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Distributed Consensus of Multi‐Agent Networks Via Event‐Triggered Pinning Control

Liu

Dan

2016

Asian Journal of Control

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This paper is concerned with distributed consensus between two multi‐agent networks with the same topology structure. Considering one network as the leaders' network and the other one as the followers' network, a new event‐triggered pinning control scheme is proposed to realize distributed consensus between these two networks. By utilizing the graph theory and Lyapunov functional method, consensus criteria are derived in the form of linear matrix inequalities. Moreover, distributed consensus of multi‐agent networks with Lipschitz nonlinear dynamics is also discussed. Numerical simulations are provided to demonstrate the effectiveness of the theoretical analysis.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Distributed Consensus of Multi‐Agent Networks Via Event‐Triggered Pinning Control

Liu

Dan

2016

Asian Journal of Control

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Node‐to‐node consensus of multi‐agent networks with event‐triggered control and packet losses

Ling

Gao

2019

Asian Journal of Control

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This paper studies the node‐to‐node consensus problem for multi‐agent networks possessing a leaders' layer and a followers' layer via the pinning control. In order to realize the consensus and reduce the update frequency of the controller, a suitable event‐triggered mechanism is introduced into the control strategy. Furthermore, the phenomenon of packet loss is considered in the designed controller. Based on the M‐matrix theory and Lyapunov stability theory, this paper presents the sufficient conditions for the node‐to‐node consensus of networks. Meanwhile, it is proved that the Zeno behaviour is excluded. Finally, two numerical simulations are provided to demonstrate the effectiveness of the theoretical results.

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Robust node‐to‐node consensus of linear multiagent systems with directed switching topologies subject to uncertain pinning communications

Wang

2017

Intl J Robust & Nonlinear

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This paper is focused on the node-to-node consensus problem of multiagent systems consisting of general linear node dynamics under directed switching topologies. Specifically, it is assumed that the multiagent systems under consideration have 2 layers, ie, leader layer and follower layer. When uncertainties on the pinning links between the 2 layers exist, the coordination goal is to present some robust control laws, which are distributed such that the states of each follower asymptotically converge to those of its corresponding leader. By using tools from M-matrix theory and multiple Lyapunov methods, some sufficient criteria are derived to achieve this goal. Finally, 2 simulation examples are performed to validate the effectiveness of the theoretical results. KEYWORDS directed switching topology, multiagent systems, nonsingular M-matrix, robust node-to-node consensus, uncertain pinning communication 1886

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Distributed node-to-node consensus of multi-agent systems with time-varying pinning links

Cited by 45 publications

References 38 publications

Distributed Consensus of Multi‐Agent Networks Via Event‐Triggered Pinning Control

Distributed Consensus of Multi‐Agent Networks Via Event‐Triggered Pinning Control

Node‐to‐node consensus of multi‐agent networks with event‐triggered control and packet losses

Robust node‐to‐node consensus of linear multiagent systems with directed switching topologies subject to uncertain pinning communications

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