Consensus stability of a class of second-order multi-agent systems with nonuniform time-delays

Lin, Peng; Dai, Ming‐Zhe; Song, Yongduan

doi:10.1016/j.jfranklin.2013.11.015

Cited by 41 publications

(12 citation statements)

References 15 publications

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“…On the other hand, communication delay, which is usually called time delay [20], is another important concern in the consensus of multiagent systems because the local interaction relying on the communication networks will inherently induce time delay due to the limited channel bandwidth or communication congestions [21]. By using the root locus method in frequency domain, the second-order consensus problem of multiagent systems with time delay is investigated in [22].…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Leader-Follower Consensus of Second-Order Multiagent Systems with Absent Velocity Measurement and Time Delay

Yang

Tang

Yan

et al. 2018

Mathematical Problems in Engineering

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The leader-follower consensus problem of second-order multiagent systems with both absent velocity measurement and time delay is considered. First of all, the consensus protocol is designed by introducing an auxiliary system to compensate for the unavailability of the velocity information. Then, time delay is incorporated into the consensus protocol and two cases with, respectively, constant time delay and time-varying delay are investigated. For the case of constant time delay, Lyapunov-Razumikhin theorem is deployed to obtain the sufficient conditions that guarantee the stability of the consensus algorithm. For the case of time-varying delay, the sufficient conditions are also derived by resorting to the Lyapunov-Razumkhin theorem and linear matrix inequalities (LMIs). Various numerical simulations demonstrate the correctness of the theoretical results.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Leader-Follower Consensus of Second-Order Multiagent Systems with Absent Velocity Measurement and Time Delay

Yang

Tang

Yan

et al. 2018

Mathematical Problems in Engineering

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“…Consensus algorithms were primarily studied for multi-agent systems with single-integrator dynamics [2], where a general framework of the consensus problem was constructed. Spurred by this pioneering work [2], considerable literatures have grown up to solve the consensus problem in different scenarios, see [4,[12][13][14][15] and references therein. According to the absence or presence of a leader in a network, consensus can be divided into leaderless consensus and leader-following consensus.…”

Section: Introductionmentioning

confidence: 99%

Sampled-data based consensus for multiple harmonic oscillators with directed switching topology

Liu

Zhao

Shi

2017

Journal of the Franklin Institute

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This paper investigates the distributed consensus problem for a group of harmonic oscillators under directed switching topology. First, under the assumption that the union of the directed interaction graphs has a spanning tree, a class of sampleddata based consensus protocols are designed by using motion planning approaches and Pontryagin's principle. The proposed protocols only require that the union of communication topologies switched at the sampled instants has a spanning tree, without requiring information exchanges over the sampled interval and the connectivity of communication topology at each sampling instant. Then, the distributed consensus problem can be solved under directed switching topology by using stability principle and the properties of stochastic matrixes. Compared with the existing sampled-data based consensus algorithms, in this article, a remarkable advantage is that, for the proposed sampled-data based protocols, the sampled periods, communication topologies and control gains are decoupling and can be separately designed, which relaxes many restrictions in controller designs. Finally, as an extension of the leaderless consensus protocols, a leader-following consensus algorithm is further proposed in this paper. Some numerical examples are also given to illustrate the effectiveness of the analytical results.

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“…[9][10][11][12][13] While in several real-world scenarios, some agents may collaborate while others compete. [14][15][16][17][18][19][20][21][22][23][24][25] As far as we know, less attention has been paid to these antagonistic networks in multi-agent systems. Antagonistic interactions are represented as signed graphs, that is, graphs which can assume also as negative weights.…”

Section: Introductionmentioning

confidence: 99%

Formation behaviors of networks with antagonistic interactions of agents

Zou

2017

International Journal of Distributed Sensor Networks

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In this study, a new formation behavior problem for second-order multi-agent systems with time delay is investigated in the presence of antagonistic interactions. We first proposed a formation behavior protocol with time delay for each agent in the antagonistic network. Then, by a frequency-domain analysis, a sufficient and necessary condition is derived to guarantee the consensus stability of the multi-agent system. It is shown that the agents in the same group form their own desired formation while keeping a desired relative position with other groups. Finally, numerical simulations are provided to illustrate the obtained results.

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Consensus stability of a class of second-order multi-agent systems with nonuniform time-delays

Cited by 41 publications

References 15 publications

Leader-Follower Consensus of Second-Order Multiagent Systems with Absent Velocity Measurement and Time Delay

Leader-Follower Consensus of Second-Order Multiagent Systems with Absent Velocity Measurement and Time Delay

Sampled-data based consensus for multiple harmonic oscillators with directed switching topology

Formation behaviors of networks with antagonistic interactions of agents

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