Event-triggered bipartite consensus for nonlinear multi-agent systems under switching topologies: A time-varying gain method

Duan, Zhiyu; Wei, Airong; Zhang, Xianfu; Mu, Rui

doi:10.1016/j.jfranklin.2023.03.022

Cited by 7 publications

(2 citation statements)

References 29 publications

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“…On the one hand, researchers considered the nonlinear multi-agent systems in the traditional Lipschitz case. [18][19][20][21][22][23] For example, Wu [18] investigated the bipartite tracking consensus of traditional nonlinear multi-agent systems in directed topology. In the meantime, the same nonlinear system with quantized communication was considered in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Ren [20] also analyzed the bipartite leader-following consensus of singular multi-agent systems with the same nonlinear function. Event-triggered controller [21,22] and adaptive controller [23] were also constructed to investigate the bipartite consensus of the nonlinear multi-agent systems. On the other hand, the nonlinear function was extended to a more general case.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bipartite consensus problems of Lurie multi-agent systems over signed graphs: A contraction approach

Zhang 张,

Wu 吴

2024

Chinese Phys. B

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This paper examines the bipartite consensus problems for the nonlinear multi-agent systems in Lurie dynamics form with cooperative and competitive communication between different agents. Based on the contraction theory, some new conditions for the nonlinear Lurie multi-agent systems reaching bipartite leaderless consensus and bipartite tracking consensus are presented, respectively. Compared with the traditional methods, this approach degrades the dimensions of the conditions, eliminates some restrictions of the system matrix and extends the range of the nonlinear function. Finally, two numerical examples are provided to illustrate the efficiency of our results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bipartite consensus problems of Lurie multi-agent systems over signed graphs: A contraction approach

Zhang 张,

Wu 吴

2024

Chinese Phys. B

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Leader-Follower Free-Will Arbitrary Time Consensus for Nonlinear Second-Order Multiagent Systems

Lu,

Ma,

Zhang

2024

Lecture Notes in Electrical Engineering

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Pinning Group Consensus of Multi-agent Systems Under DoS Attacks

Lang,

Xu,

Zhang

et al. 2024

Neural Process Lett

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In this paper, group consensus is investigated for a class of nonlinear multi-agent systems suffered from the DoS attacks. Firstly, a first-order nonlinear multi-agent system is constructed, which is divided into M subsystems and each subsystem has an unique leader. Then a protocol is proposed and a Lyapunov function candidate is chosen. By means of the stability theory, a sufficient criterion, which involves the duration of DoS attacks, coupling strength and control gain, is obtained for achieving group consensus in first-order system. That is, the nodes in each subsystem can track the leader of that group. Furthermore, the result is extended to nonlinear second-order multi-agent systems and the controller is also improved to obtain sufficient conditions for group consensus. Additionally, the lower bounds of the coupling strength and average interval of DoS attacks can be determined from the obtained sufficient conditions. Finally, several numerical simulations are presented to explain the effectiveness of the proposed controllers and the derived theoretical results.

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Event-triggered bipartite consensus for nonlinear multi-agent systems under switching topologies: A time-varying gain method

Cited by 7 publications

References 29 publications

Bipartite consensus problems of Lurie multi-agent systems over signed graphs: A contraction approach

Bipartite consensus problems of Lurie multi-agent systems over signed graphs: A contraction approach

Leader-Follower Free-Will Arbitrary Time Consensus for Nonlinear Second-Order Multiagent Systems

Pinning Group Consensus of Multi-agent Systems Under DoS Attacks

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