Impulsive consensus of multi-agent systems with stochastically switching topologies

Zhang, He; Ji, Huihui; Ye, Zhiyong; Senping, Tian; Zhang, Hua; Li, Chenlong

doi:10.1016/j.nahs.2017.06.001

Cited by 34 publications

(11 citation statements)

References 31 publications

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“…Remark 1: The references [2,3] focus on topologies with Markov switching, their TRs are independent of sojourn-time k  and satisfy the exponential distribution. However, for continuous-time SM jump system such as (3) with SM switching topology whose TR is varying.…”

Section: A Mas With Sm Switching Topologiesmentioning

confidence: 99%

“…In practice, due to the change of environment and all kinds of errors, the topology of MAS cannot be constant and will experience sudden change. A common method is to model it as a switching topology [1] or one with Markov jumps [2,3]. When the multi-agent system has SM switching topologies, consensus problem about the event triggered leader-following was appeared on [4].…”

Section: Introductionmentioning

confidence: 99%

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Consensus Analysis of Continuous-time Multi-agent Systems with Semi-Markov Switching Topologies

Guoliang¹,

Sun²

2019

Proceedings of the 2019 2nd International Conference on Mathematics, Modeling and Simulation Technologies and Applications (MMS

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The consensus problem about continuous time multi-agent system (MAS) with semi-Markov (SM) switching topologies is studied in this paper. Switching topology whose sojourn-times satisfy a general probability distribution is a general Markov renewal process. The problem about consensus is considered that constructing a discrete-time Markovian jump system (MJS) with sojourn-time bounds and transition probabilities bounds. Then, it presented novel test conditions with easily solvable forms. Finally, an example is given to verify the proposed method available.

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Section: A Mas With Sm Switching Topologiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Consensus Analysis of Continuous-time Multi-agent Systems with Semi-Markov Switching Topologies

Guoliang¹,

Sun²

2019

Proceedings of the 2019 2nd International Conference on Mathematics, Modeling and Simulation Technologies and Applications (MMS

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“…Moreover, the cost of control can be reduced because of smaller control gain. In [18], the MASs with stochastically switching topologies have been investigated by means of impulsive control. In [21], by using quantized relative state measurements, the authors This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time consensus of leader‐following non‐linear multi‐agent systems via event‐triggered impulsive control

Chen

Peng

Zhang

2021

IET Control Theory & Appl

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This work is concerned with the finite-time consensus of leader-following non-linear multiagent systems by means of distributed event-triggered impulsive control. The finite-time consensus protocol is first put forward based on event-triggered impulsive strategies, where the impulsive instants are determined by the proposed event-triggered condition. For the event-triggered condition, it not only determines the impulsive instants but also effects the update time of the finite-time control. Moreover, compared with the existing finite-time controllers, the controller designed in this work does not contain any sign function, thereby overcoming the chattering phenomenon. In addition, without finding Zeno behaviour, the feasibility of the proposed control protocol is demonstrated. Lastly, simulations are employed to demonstrate the effectiveness of the proposed control schemes. How to cite this article: Chen T, Peng S, Zhang Z. Finite-time consensus of leader-following non-linear multi-agent systems via event-triggered impulsive control.

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“…The impulsive control method has been applied to solve the consensus problem for MASs. For instance, reference Ma et al, 2018aMa et al, , 2018bMa et al, 2020 investigated the adaptive consensus problem of nonlinear MASs with odd impulsive control; reference Ma et al, 2019aMa et al, , 2019b studied the variable impulsive control method to solve the consensus problem for nonlinear MASs; reference Ma et al, 2016 considered the consensus problem of nonlinear MASs with control gain error; reference Zhang et al, 2017) studied the impulsive consensus problem for MASs with stochastically switching topologies; reference Ma et al, 2019aMa et al, , 2019b researched the stochastic synchronization impulsive control problem of delayed multi-agent networks with intermittent communications and impulsive disturbance. It should be noted that the above impulsive control methods are all time triggered, which may lead to unnecessary resource consumption.…”

Section: Introductionmentioning

confidence: 99%

Consensus of nonlinear multi–agent systems with distributed event–triggered impulsive control

Tang

et al. 2021

Journal of Vibration and Control

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This study addresses the consensus problem in nonlinear multi-agent systems with the distributed impulsive control method. To decrease communication wastage, a distributed event-triggered impulsive protocol is developed to achieve consensus. In the proposed control method, each agent receives neighbor information and performs impulse control only when its own trigger function exceeds a given tolerance. Then, through the Lyapunov method, the conditions that allow the multi-agent systems reach consensus are analyzed and the Zeno behavior is excluded. Finally, some numerical simulations are performed to validate the effectiveness of the proposed method.

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Impulsive consensus of multi-agent systems with stochastically switching topologies

Cited by 34 publications

References 31 publications

Consensus Analysis of Continuous-time Multi-agent Systems with Semi-Markov Switching Topologies

Consensus Analysis of Continuous-time Multi-agent Systems with Semi-Markov Switching Topologies

Finite‐time consensus of leader‐following non‐linear multi‐agent systems via event‐triggered impulsive control

Consensus of nonlinear multi–agent systems with distributed event–triggered impulsive control

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