Second-order consensus in multi-agent dynamical systems with sampled position data

Yu, Wenwu; Zheng, Wei Xing; Chen, Guanrong; Ren, Wei; Cao, Jinde

doi:10.1016/j.automatica.2011.02.027

Cited by 483 publications

(190 citation statements)

References 30 publications

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“…Remark 4. So far, the consensus problem of multi-agent systems with the sampled-data [22,33], sampled-data and time-delay [27,28], nonlinear dynamics and time-delay [42,43,44] have been reported in the literatures. All of the above mentioned literatures are on the state consensus.…”

Section: Simulationsmentioning

confidence: 99%

“…In [22], two kinds of impulsive distributed consensus algorithms which only utilize the sampled information were proposed to investigate the distributed consensus problem for second-order continuous-time multi-agent systems with sampled-data communication. In [27,33], the authors studied the state consensus in multi-agent dynamical systems with sampled-data, and distributed linear consensus protocols were proposed. In [33], both the current and some past sampled position data were utilized to design consensus protocols.…”

Section: Introductionmentioning

confidence: 99%

“…In [27,33], the authors studied the state consensus in multi-agent dynamical systems with sampled-data, and distributed linear consensus protocols were proposed. In [33], both the current and some past sampled position data were utilized to design consensus protocols. While, using less information and saving energy, a protocol with more sampled data and no current data was further designed in [27].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Output consensus of multi‐agent systems with delayed and sampled‐data

Chen

Xia

2017

IET Control Theory & Applications

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This paper considers the output consensus problem of high-order leader-following multiagent systems with unknown nonlinear dynamics, in which the delayed and sampled outputs of the system are the only available data. The unknown nonlinear dynamics are assumed to satisfy the Lipschitz condition and the interconnected topologies are assumed to be undirected and connected. A distributed observer-based output feedback controller is proposed for the system to reach output consensus. Both of the bounds of the allowable delay and sampling period are also obtained. Stability analysis shows that the considered systems are globally exponentially stable under the output feedback controller. Finally, a simulation example is given to validate our theoretical results.

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Section: Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Output consensus of multi‐agent systems with delayed and sampled‐data

Chen

Xia

2017

IET Control Theory & Applications

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“…Thus, it is necessary to implement discrete-time controllers. The impulsive controllers (Yang 2001;Lu et al 2013Lu et al , 2010Tan et al 2015;Qi et al 2014;Pu et al 2015) and the sampled data controllers (Chen and Francis 1995;Yu et al 2013bYu et al , 2011a are two typical types of controllers with discrete time updates. In Å ström and Bernhardsson (2002) andÅ ström (2008), the authors proposed the event-triggered controllers.…”

Section: Introductionmentioning

confidence: 99%

Event-based exponential synchronization of complex networks

2016

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In this paper, we consider exponential synchronization of complex networks. The information diffusions between nodes are driven by properly defined events. By employing the M-matrix theory, algebraic graph theory and the Lyapunov method, two kinds of distributed eventtriggering laws are designed, which avoid continuous communications between nodes. Then, several criteria that ensure the event-based exponential synchronization are presented, and the exponential convergence rates are obtained as well. Furthermore, we prove that Zeno behavior of the event-triggering laws can be excluded before synchronization being achieved, that is, the lower bounds of inter-event times are strictly positive. Finally, a simulation example is provided to illustrate the effectiveness of theoretical analysis.

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“…Up to now, it has attracted increasing attention of researchers in different fields. So far, many related research works have been successively reported, which can be seen in [1][2][3][4][5][6] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Group Consensus of Second-Order Multi-agent Networks with Multiple Time Delays

Ji¹,

Zhao²

2016

Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling

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Abstract-In this paper, the problem of group consensus of second-order multi-agent networks with multiple time delays is investigated. Based on the theory of frequency-domain, some algebraic criteria are proposed analytically which can guarantee the multi-agent networks to achieve group consensus. Results show that input time delays of the agents, coupling weights and coupling strengths between the agents play a key role in reaching group consensus. Meanwhile, communication time delays can only affect the convergence rate of the systems. Finally, the validity and correctness of our theoretical results are verified by several numerical simulated examples.

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Second-order consensus in multi-agent dynamical systems with sampled position data

Cited by 483 publications

References 30 publications

Output consensus of multi‐agent systems with delayed and sampled‐data

Output consensus of multi‐agent systems with delayed and sampled‐data

Event-based exponential synchronization of complex networks

Group Consensus of Second-Order Multi-agent Networks with Multiple Time Delays

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