Necessary and Sufficient Conditions for Group Consensus of Fractional Multiagent Systems Under Fixed and Switching Topologies via Pinning Control

Chen, Yiwen; Wen, Guoguang; Peng, Zhaoxia; Huang, Tingwen; Yu, Yongguang

doi:10.1109/tcyb.2019.2918549

Cited by 20 publications

(5 citation statements)

References 47 publications

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“…It can be noted that the consensus condition obtained in this paper is delay-and orderdependent for FOMAS. It is obvious that the consensus conditions proposed in [12,[14][15][16][17][18][19]22,35] do not apply herein.…”

Section: Remarkmentioning

confidence: 99%

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

et al. 2021

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This paper addresses the guaranteed cost leaderless consensus of delayed fractional-order (FO) multi-agent systems (FOMASs) with nonlinearities and uncertainties. A guaranteed cost function for FOMAS is proposed to simultaneously consider consensus performance and energy consumption. By employing the linear matrix inequality approach and the FO Razumikhin theorem, a delay-dependent and order-dependent consensus protocol is formulated for FOMASs with input delay. The proposed protocol not only guarantees the robust stability of the closed-loop system error but also ensures that the performance degradation caused by the system uncertainty is lesser than that obtained with other approaches. Two numerical examples are provided in order to verify the effectiveness and accuracy of the proposed protocol.

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Section: Remarkmentioning

confidence: 99%

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

et al. 2021

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“…In [38], the authors addressed the leader-following bipartite consensus problem of multiple uncertain Euler-Lagrange systems over signed switching networks by means of a distributed observer and leveraging the certainty equivalence principle. Other works dealt with secure bipartite consensus with topologies under different situations [39], utilizing pinning control strategies [40,41] and distributed adaptive control algorithms [42]. Last but not least, the foregoing literatures about bipartite consensus with switching signals under the premise that the network environment is safe, the sequential scaling attacks and the uncertainty of switching signals, the design of state control protocol with scaling factors, logarithmic quantizer, and the impact of competitive relationships are not considered.…”

Section: Introductionmentioning

confidence: 99%

Distributed quantized secure bipartite consensus of linear multi‐agent systems with switching topologies and sequential scaling attacks

Wang,

Ji,

Wang

et al. 2024

IET Control Theory & Appl

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This paper considers the secure distributed control consensus problem of linear multi‐agent systems (MASs) under switching topologies, subject to intermittent sequential scaling attacks, which was compelled to scaling factor, attack frequency, duration and cooperative‐competitive networks. First, the scenario of a fixed topology is considered, and a novel control protocol combined with a logarithmic quantizer and relative state measurements of neighbouring agents is discussed. The sighed graph is utilized to characterize the communication topology determined by the information flow directions and captured by the graph Laplacian matrix. After that, sufficient conditions for effectiveness of the developed control methods in guiding the MASs to secure bipartite leader‐following consensus are constructed. Second, the scenario of switching topologies is considered, and it is derived that the secure bipartite consensus will be achieved if the designed state feedback control protocol with the scaling factor, the attack duration, attack frequency and switching signal are selected properly. At last, to prove the effectiveness of the designed controllers, a simulation example depended on the real‐word actual military is introduced.

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“…In [31][32], based on event-triggered schemes, the adaptive fuzzy consensus control for FOMASs and nonlinear FOMASs, respectively, are proposed. The consensus conditions of FOMASs under switching topologies are presented in [33][34]. In [35], the observer-based time-varying formation control of FOMASs is studied.…”

Section: Introductionmentioning

confidence: 99%

Event Triggered Formation Adaptive Control of Singular Fractional Order Multi-Agent Systems with Switching Topologies And Nonlinear Dynamics

Wang,

Xue,

Pan

2023

Preprint

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In this paper, the formation control of singular fractional order multi-agent systems with α ∈ (0,1] is investigated. Firstly, under the switching direct communication topologies, the observer based adaptive controllers are designed. Then, by event-triggered scheme and Lyapunov direct method, the formation control algorithm is presented to achieve bounded of the formation error systems. Moreover, according to the event-triggered schemes, the Zeno behaviors are avoided by giving the lower bound. Finally, the validity of the result given is illustrated by a numerical example.

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Necessary and Sufficient Conditions for Group Consensus of Fractional Multiagent Systems Under Fixed and Switching Topologies via Pinning Control

Cited by 20 publications

References 47 publications

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

Distributed quantized secure bipartite consensus of linear multi‐agent systems with switching topologies and sequential scaling attacks

Event Triggered Formation Adaptive Control of Singular Fractional Order Multi-Agent Systems with Switching Topologies And Nonlinear Dynamics

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