Group consensus of multi-agent systems with cooperative-competitive interaction and communication delay in switching topologies networks based on the delta operator method

Pu, Xiaorong; Li, Ren; Liu, Yi; Ji, Lianghao

doi:10.1016/j.neucom.2020.01.076

Cited by 28 publications

(13 citation statements)

References 50 publications

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“…In recent years, many important works have been done for group consensus. [28][29][30] In Reference 28, by using self-adaptive and pinning control, a novel couple-group protocol has been put forward. In Reference 29, according to self-adaptive control parameters and cooperative-competitive relation, a weighted couple-group consensus protocol has been proposed for a kind of heterogeneous multi-agent systems (HMASs) with time-delays.…”

Section: Related Workmentioning

confidence: 99%

“…▪ Remark 4. Compared with existing results, [29][30][31][32][33][34] pinning and self-adaptive controllers ( 18)-( 20) are designed for a kind of HFMASs (3). A sufficient condition for the couple-group consensus of this system has been obtained in Theorem 1.…”

Section: Theorem 1 Let H(t) Be First-order Differentiable Andmentioning

confidence: 99%

“…This is called group consensus. In recent years, many important works have been done for group consensus 28‐30 . In Reference 28, by using self‐adaptive and pinning control, a novel couple‐group protocol has been put forward.…”

Section: Introductionmentioning

confidence: 99%

“…By utilizing Laplace transform, several sufficient conditions have been obtained to ensure the success of group consensus for this system. In Reference 30, delta operator method has been introduced to solve the group consensus of HMASs. It is noticed that these results are only related to integer‐order MASs.…”

Section: Introductionmentioning

confidence: 99%

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Pinning and self‐adaptive control to the couple‐group consensus of heterogeneous fractional multi‐agent systems with cooperative‐competitive relation

Cheng

2022

Adaptive Control & Signal

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In this article, the couple-group consensus of a class of heterogeneous fractional multi-agent systems with time-varying delay (HFMASs) has been studied.Based on cooperative-competitive interaction, pinning and self-adaptive controller has been designed to realize the couple-group consensus for this system with single integrator and double integrator fractional-order dynamics. By using Lyapunov function, mode-dependent average dwell time (MDADT) technology, stability theory and delta operator method, some sufficient conditions have been obtained to guard the success of couple-consensus for this HFMASs with fixed or switching topologies. According to these sufficient conditions, the related feasible solutions can be solved by using liner matrix inequality (LMI). In addition, these results are also applicable to the system with weakly connected topology without containing a spanning tree or meeting the demand of equilibrium of degree. Finally, several simulation experiments have been presented to prove the validity of the related results.

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Section: Related Workmentioning

confidence: 99%

Section: Theorem 1 Let H(t) Be First-order Differentiable Andmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Pinning and self‐adaptive control to the couple‐group consensus of heterogeneous fractional multi‐agent systems with cooperative‐competitive relation

Cheng

2022

Adaptive Control & Signal

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“…In [9,10], a concept called Holonic MAS was proposed, and subsequent researchers have achieved a series of meaningful results on this basis. As a key subject in the field of distributed collaborative control, the research on the consensus of MASs has also received increasingly more attention from the academic community, including group or cluster consensus [11][12][13], leader-following consensus [14][15][16], H ∞ consensus [17][18][19], finite-time or fixed-time consensus [20][21][22], etc. In practical applications, MASs are required to simultaneously tend to multiple consensus states according to different task requirements.…”

Section: Introductionmentioning

confidence: 99%

Cluster-Delay Mean Square Consensus of Stochastic Multi-Agent Systems with Impulse Time Windows

Huan

Wang

Zhan

et al. 2021

Entropy

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This paper investigates the cluster-delay mean square consensus problem of a class of first-order nonlinear stochastic multi-agent systems with impulse time windows. Specifically, on the one hand, we have applied a discrete control mechanism (i.e., impulsive control) into the system instead of a continuous one, which has the advantages of low control cost, high convergence speed; on the other hand, we considered the existence of impulse time windows when modeling the system, that is, a single impulse appears randomly within a time window rather than an ideal fixed position. In addition, this paper also considers the influence of stochastic disturbances caused by fluctuations in the external environment. Then, based on algebraic graph theory and Lyapunov stability theory, some sufficiency conditions that the system must meet to reach the consensus state are given. Finally, we designed a simulation example to verify the feasibility of the obtained results.

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Cluster Formation of Multi-agent Systems with Cooperation-Competition Interaction

Li¹,

Zhou²,

Hu³

et al. 2022

Lecture Notes in Electrical Engineering

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Group consensus of multi-agent systems with cooperative-competitive interaction and communication delay in switching topologies networks based on the delta operator method

Cited by 28 publications

References 50 publications

Pinning and self‐adaptive control to the couple‐group consensus of heterogeneous fractional multi‐agent systems with cooperative‐competitive relation

Pinning and self‐adaptive control to the couple‐group consensus of heterogeneous fractional multi‐agent systems with cooperative‐competitive relation

Cluster-Delay Mean Square Consensus of Stochastic Multi-Agent Systems with Impulse Time Windows

Cluster Formation of Multi-agent Systems with Cooperation-Competition Interaction

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