Stochastic consensus of leader-following multi-agent systems under additive measurement noises and time-delays

Djaidja, Sabir; Wu, Qinghe

doi:10.1016/j.ejcon.2015.03.002

Cited by 27 publications

(9 citation statements)

References 17 publications

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“…e necessary and sufficient conditions of consensus for the second-order multiagent systems were obtained under an similar protocol in Cheng et al [38]. Djaidja and Wu and Hu and Feng [39,40] analyzed the tracking control of leader-follower multiagent systems under the similar interconnection topology. Remark 1.…”

Section: The Adaptive Consensus Without Delaymentioning

confidence: 99%

Construction of Adaptive Consensus Gains for Multiagent Systems with Multiplicative Noise

Jin¹,

2021

Complexity

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The leader-following consensus of linear multiagent systems with multiplicative noise and adaptive gains is investigated under the fixed directed graph. Because of multiplicative noise, the agents interacting with the leader can only obtain the inaccurate information. Firstly, this paper designs the adaptive gains of multiagent systems, which can converge to some fixed values and force the states to synchronize. Different from the mandatory gains, the adaptive gains depend on the states of agents and can be adjusted with the change of states. Secondly, it is shown that the multiagent systems without time delay can obtain mean square consensus under the adaptive gains. Moreover, in the presence of multiplicative noise and communication delay, the mean square consensus is also acquired in the same adaptive gains. Finally, the validity of the conclusion is simulated by an example.

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Section: The Adaptive Consensus Without Delaymentioning

confidence: 99%

Construction of Adaptive Consensus Gains for Multiagent Systems with Multiplicative Noise

Jin¹,

2021

Complexity

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“…It is assume that standard white noise h i and semi-Markov process fr(t)g t ø 0 are independent mutual (Djaidja and Wu, 2015).…”

Section: Event-based Controllermentioning

confidence: 99%

Event-triggered stochastic consensus for networked Lagrangian systems with semi-Markov switching topologies and communication delays

Pan

Miao

et al. 2021

Transactions of the Institute of Measurement and Control

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In this paper, the event-triggered stochastic consensus for networked Lagrangian systems with semi-Markov switching topologies and communication delays is considered. An event-triggered sampling control strategy is used to design the distributed stochastic consensus scheme of networked Lagrangian systems for two cases with leader and leaderless. Two delay-dependent consensus criteria are derived in the sense of mean square by use of a suitable Lyapunov-Krasovskii functional and the stochastic delayed Halanay inequality, respectively. A key feature of the developed event-triggered consensus algorithm is to introduce a suitable adjustment parameter on consensus control gains characterizing the effect of both semi-Markov switching topology and communication delay. Finally, a numerical example of four manipulators with two links is presented to illustrate the effectiveness of the developed event-triggered methodology.

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“…In [26], the authors extended the result in [25] to the general p th moment average consensus under the arbitrary‐bounded delay. Djaidja and Wu [27] studied the leader‐following mean square consensus of single‐integrator MASs with noise and time delay. In [28], the leaderless consensus of the MAS with noise and time‐delay was studied under the assumption that the directed communication topology had a spanning tree, and an asymptotic unbiased mean square linear

χ

‐consensus was reached.…”

Section: Introductionmentioning

confidence: 99%

“…In [32], the authors extended the results in [31] under the same assumption, and a mean square linear

χ

‐consensus was reached. The upper bound of time delay to satisfy the inequality condition was required in [25, 27–32], and the upper bound of the time delay was very small. In fact, it did not conform to practical applications.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

p th moment consensus of multi‐agent systems with relative state‐dependent measurement noises and time delays

Zhou

2018

IET Control Theory & Applications

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Stochastic consensus of leader-following multi-agent systems under additive measurement noises and time-delays

Cited by 27 publications

References 17 publications

Construction of Adaptive Consensus Gains for Multiagent Systems with Multiplicative Noise

Construction of Adaptive Consensus Gains for Multiagent Systems with Multiplicative Noise

Event-triggered stochastic consensus for networked Lagrangian systems with semi-Markov switching topologies and communication delays

p th moment consensus of multi‐agent systems with relative state‐dependent measurement noises and time delays

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