A unified framework of exponential synchronization for complex networks with time-varying delays

Zuo, Zhiqiang; Yang, Cuili; Wang, Yijing

doi:10.1016/j.physleta.2010.02.052

Cited by 25 publications

(12 citation statements)

References 33 publications

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“…To successfully construct protocol (2) according to Algorithm 1, it should be firstly shown that LMIs (23) and (24) are both feasible. By Lemma 2, there always exists a positive scalarˇ0 such that LMI (23) is solvable for allˇ>ˇ0.…”

Section: Remarkmentioning

confidence: 99%

Distributed consensus of multi-agent systems with general linear node dynamics and intermittent communications

Wen

Duan

Ren

et al. 2013

Int. J. Robust. Nonlinear Control

238

116

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SUMMARYWithout assuming that the mobile agents can communicate with their neighbors all the time, the consensus problem of multi‐agent systems with general linear node dynamics and a fixed directed topology is investigated. To achieve consensus, a new class of distributed protocols designed based only on the intermittent relative information are presented. By using tools from matrix analysis and switching systems theory, it is theoretically shown that the consensus in multi‐agent systems with a periodic intermittent communication and directed topology containing a spanning tree can be cast into the stability of a set of low‐dimensional switching systems. It is proved that there exists a protocol guaranteeing consensus if each agent is stabilizable and the communication rate is larger than a threshold value. Furthermore, a multi‐step intermittent consensus protocol design procedure is provided. The consensus algorithm is then extended to solve the formation control problem of linear multi‐agent systems with intermittent communication constraints as well as the consensus tracking problem with switching directed topologies. Finally, some numerical simulations are provided to verify the effectiveness of the theoretical results. Copyright © 2013 John Wiley & Sons, Ltd.

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Section: Remarkmentioning

confidence: 99%

Distributed consensus of multi-agent systems with general linear node dynamics and intermittent communications

Wen

Duan

Ren

et al. 2013

Int. J. Robust. Nonlinear Control

238

116

View full text Add to dashboard Cite

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“…Choose the outer matrices as G ¼ And the corresponding controlling gains vector is K = (À25.819 À 1.2077). Choosing initial values as (x 1 , y 1 , x 2 , y 2 , x 3 , y 3 ) = (3,4,5,8,8,6), the controlled system is shown in Fig. 1.…”

Section: Resultsmentioning

confidence: 99%

“…In past decades, dynamical complex networks have been widely applied in a variety of areas, such as signal processing, image processing, pattern recognition, combinatorial optimization problems, and so on (see, for instance [1][2][3][4][5]). In the study of complex networks, control and synchronization are effective tools, and synchronization can be seen as a special control [6][7][8][9]. As a result, stability analysis of complex networks is necessary.…”

Section: Introductionmentioning

confidence: 99%

Stability and Control of Fractional Chaotic Complex Networks with Mixed Interval Uncertainties

Zhang

Wang

Lin

2016

Asian Journal of Control

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This paper investigates the stability and control in fractional complex networks with inner and outer interval uncertainties. Each node is defined as a chaotic system. Stability theorems for fractional order 0 < α < 1 and 1 ≤ α < 2 are derived in the chaotic complex network. Instead of removing the nonlinear part directly, for a class of nonlinear function, we use an interval matrix to deal with this problem. By using the Kronecker product and LMI toolbox, stability conditions are provided in terms of linear matrix inequalities, and feasible feedback controllers are solved. In numerical simulations, two examples (real‐valued complex network and complex‐valued complex network) are provided to demonstrate the robustness and effectiveness of our methods.

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“…One basic issue arising from multi-agent systems is to construct communication protocols based only on the local measurements that guarantees all agents to achieve a state agreement, which is known as consensus problem [6][7][8][9][10][11][12][13]. A closely related topic to consensus of multi-agent systems is synchronization of complex dynamical networks [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Distributed node-to-node consensus of multi-agent systems with time-varying pinning links

Wen

Wang

et al. 2015

Neurocomputing

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A unified framework of exponential synchronization for complex networks with time-varying delays

Cited by 25 publications

References 33 publications

Distributed consensus of multi-agent systems with general linear node dynamics and intermittent communications

Distributed consensus of multi-agent systems with general linear node dynamics and intermittent communications

Stability and Control of Fractional Chaotic Complex Networks with Mixed Interval Uncertainties

Distributed node-to-node consensus of multi-agent systems with time-varying pinning links

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