Scaled consensus problems of multi agent systems via impulsive protocols

Donganont, Mana; Liu, Xinzhi

doi:10.1016/j.apm.2022.10.049

Cited by 3 publications

(3 citation statements)

References 48 publications

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“…Let t ∈ (ξ 1 , ξ 2 ]. Again, according to Lemma 3 with a = ξ 1 , u 0 = x i (ξ 1 + 0), and ξ = b i , the solution to (26) is given by…”

Section: Model Of Fractional Derivative With Piecewise Constant Ordermentioning

confidence: 99%

“…Example 2. Consider the partial case of model (26) with N = 3, t 0 = ξ 0 = 0, ξ k+1 = ξ k + 1 = k + 1, µ k = 0.7 k+1 ∈ (0, 1), k = 0, 1, 2, . .…”

Section: Model Of Fractional Derivative With Piecewise Constant Ordermentioning

confidence: 99%

“…Note that impulsive control is a powerful control method: in particular when an agent exchanges information instantaneously at discrete times. It has been applied and studied by several authors for various types of multi-agent systems: for example, in [26], the scaled consensus is investigated by using impulsive controls; in [26], the impulsive approach is used to study the semi-global consensus; in [27], the impulsive average-consensus with time-delays is considered; in [28], the exponential consensus is investigated in the case for which the impulses are generated by an event-triggered mechanism and are subjected to actuation delays.…”

Section: Introductionmentioning

confidence: 99%

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Impulsive Control of Variable Fractional-Order Multi-Agent Systems

Agarwal,

Hristova,

O’Regan

2024

Fractal Fract

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The main goal of the paper is to present and study models of multi-agent systems for which the dynamics of the agents are described by a Caputo fractional derivative of variable order and a kernel that depends on an increasing function. Also, the order of the fractional derivative changes at update times. We study a case for which the exchanged information between agents occurs only at initially given update times. Two types of linear variable-order Caputo fractional models are studied. We consider both multi-agent systems without a leader and multi-agent systems with a leader. In the case of multi-agent systems without a leader, two types of models are studied. The main difference between the models is the fractional derivative describing the dynamics of agents. In the first one, a Caputo fractional derivative with respect to another function and with a continuous variable order is applied. In the second one, the applied fractional derivative changes its constant order at each update time. Mittag–Leffler stability via impulsive control is defined, and sufficient conditions are obtained. In the case of the presence of a leader in the multi-agent system, the dynamic of the agents is described by a Caputo fractional derivative with respect to an increasing function and with a constant order that changes at each update time. The leader-following consensus via impulsive control is defined, and sufficient conditions are derived. The theoretical results are illustrated with examples. We show with an example the leader’s influence on the consensus.

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“…Let t ∈ (ξ 1 , ξ 2 ]. Again, according to Lemma 3 with a = ξ 1 , u 0 = x i (ξ 1 + 0), and ξ = b i , the solution to (26) is given by…”

Section: Model Of Fractional Derivative With Piecewise Constant Ordermentioning

confidence: 99%

“…Example 2. Consider the partial case of model (26) with N = 3, t 0 = ξ 0 = 0, ξ k+1 = ξ k + 1 = k + 1, µ k = 0.7 k+1 ∈ (0, 1), k = 0, 1, 2, . .…”

Section: Model Of Fractional Derivative With Piecewise Constant Ordermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Impulsive Control of Variable Fractional-Order Multi-Agent Systems

Agarwal,

Hristova,

O’Regan

2024

Fractal Fract

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show abstract

Introduction

Zhang,

Ma,

Cui

2024

Intelligent Control and Learning Systems

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Distributed Adaptive Formation Control for Fractional-Order Multi-Agent Systems with Actuator Failures and Switching Topologies

Li,

Yan,

Shi

et al. 2024

Fractal Fract

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In this paper, a class of distributed adaptive formation control problems are investigated for second-order nonlinear fractional-order multi-agent systems with actuator failures and switching topologies. To address these challenges, two adaptive coupling gains based on agents’ position and velocity are incorporated into the control protocol. Using the Lyapunov method along with graph theory and matrix analysis, sufficient conditions for system stability are derived in the presence of actuator failures and switching topologies. The effectiveness of the proposed control protocol is demonstrated through numerical simulations, which show its capability to maintain stable formation control under these challenging conditions.

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Scaled consensus problems of multi agent systems via impulsive protocols

Cited by 3 publications

References 48 publications

Impulsive Control of Variable Fractional-Order Multi-Agent Systems

Impulsive Control of Variable Fractional-Order Multi-Agent Systems

Introduction

Distributed Adaptive Formation Control for Fractional-Order Multi-Agent Systems with Actuator Failures and Switching Topologies

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