Leader-following exponential consensus of fractional order nonlinear multi-agents system with hybrid time-varying delay: A heterogeneous impulsive method

Wang, Fei; Yang, Yongqing

doi:10.1016/j.physa.2017.04.049

Cited by 49 publications

(21 citation statements)

References 47 publications

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“…As a consequence, grouping the above objectives clearly forms fractional-order multi-agent systems, which have become important in practice. Recently, fractional-order MASs are widely used in crossdisciplinary nature and attract much attention on the coordination and control problems [7,16,21,27,31,37]. Emerging results have been reported on the leader-follower solutions of fractional-order MASs [25,26].…”

Section: Introduction and Problem Formulationmentioning

confidence: 99%

Consensus tracking problem for linear fractional multi-agent systems with initial state error

Luo

Wang

Shen

2020

NAMC

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In this paper, we discuss the consensus tracking problem by introducing two iterative learning control (ILC) protocols (namely, Dα-type and PDα-type) with initial state error for fractional-order homogenous and heterogenous multi-agent systems (MASs), respectively. The initial state of each agent is fixed at the same position away from the desired one for iterations. For both homogenous and heterogenous MASs, the Dα-type ILC rule is first designed and analyzed, and the asymptotical convergence property is carefully derived. Then, an additional P-type component is added to formulate a PDα-type ILC rule, which also guarantees the asymptotical consensus performance. Moreover, it turns out that the PDα-type ILC rule can further adjust the final performance. Two numerical examples are provided to verify the theoretical results.

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Section: Introduction and Problem Formulationmentioning

confidence: 99%

Consensus tracking problem for linear fractional multi-agent systems with initial state error

Luo

Wang

Shen

2020

NAMC

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“…However, due to the complex dynamic and mathematical analysis involved with nonlinear multiagent systems, the existing consensus control methods for delayed linear multiagent systems cannot be directly applied to the nonlinear case. Thus far, only a few results are reported in synchronization or consensus of nonlinear multiagent systems with time delays via impulsive control . In the work of Hu et al, the consensus problem of second‐order multiagent systems with switching topologies via time‐delayed impulsive consensus control is investigated.…”

Section: Introductionmentioning

confidence: 99%

“…In the work of Hu et al, the consensus problem of second‐order multiagent systems with switching topologies via time‐delayed impulsive consensus control is investigated. A novel intermittent impulsive scheme is presented to realize consensus of multiagent systems with time‐varying delay in the work of Yang et al The leader‐following exponential consensus of fractional order nonlinear multiagent system with internal delay and coupling delay via heterogeneous impulsive control is studied in the work of Wang and Yang . The aforementioned works are just concerned with the consensus with positive impulsive effect (ie, impulsive control).…”

Section: Introductionmentioning

confidence: 99%

“…Thus far, only a few results are reported in synchronization or consensus of nonlinear multiagent systems with time delays via impulsive control. [43][44][45] In the work of Hu et al, 43 the consensus problem of second-order multiagent systems with switching topologies via time-delayed impulsive consensus control is investigated. A novel intermittent impulsive scheme is presented to realize consensus of multiagent systems with time-varying delay in the work of Yang et al 44 The leader-following exponential consensus of fractional order nonlinear multiagent system with internal delay and coupling delay via heterogeneous impulsive control is studied in the work of Wang and Yang.…”

mentioning

confidence: 99%

“…A novel intermittent impulsive scheme is presented to realize consensus of multiagent systems with time-varying delay in the work of Yang et al 44 The leader-following exponential consensus of fractional order nonlinear multiagent system with internal delay and coupling delay via heterogeneous impulsive control is studied in the work of Wang and Yang. 45 The aforementioned works are just concerned with the consensus with positive impulsive effect (ie, impulsive control). In fact, synchronization or consensus of delayed multiagent networks with negative impulsive effects (ie, impulsive disturbance) offers significant challenges in real system and deserves to be fully addressed.…”

mentioning

confidence: 99%

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Stochastic synchronization of delayed multiagent networks with intermittent communications: An impulsive framework

Cui

Wang

et al. 2019

Intl J Robust & Nonlinear

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Summary This paper investigates the stochastic synchronization problem of delayed multiagent networks with intermittent communications. Two kinds of impulsive effects are taken into account, ie, impulsive controller (positive impulsive effect) and impulsive disturbance (negative impulsive effect). Impulsive controller allows the synchronization to be realized and requires only state information exchange at discrete time instants such that the communication cost of bandwidth is reduced. Meanwhile, impulsive disturbance is inevitable in most of practical systems and therefore is taken into consideration at discrete time instants. Sufficient conditions for synchronization are given in terms of the graph topology, the control coupling gains, and the individual agent dynamics parameters, which indicates that synchronization can be realized if the impulsive effects coefficients and communication rate are suitably selected. Simulation results verify the effectiveness of the proposed synchronization protocol.

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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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Leader-following exponential consensus of fractional order nonlinear multi-agents system with hybrid time-varying delay: A heterogeneous impulsive method

Cited by 49 publications

References 47 publications

Consensus tracking problem for linear fractional multi-agent systems with initial state error

Consensus tracking problem for linear fractional multi-agent systems with initial state error

Stochastic synchronization of delayed multiagent networks with intermittent communications: An impulsive framework

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

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