Some simple criteria for pinning a Lur'e network with directed topology
Some simple criteria for pinning a Lur'e network with directed topology
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DOI：
10.1049/iet-cta.2013.0422
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发表时间：
2014-01
影响因子：
2.6
通讯作者：
Qiang Song;Fang Liu;Jinde Cao;Jianquan Lu
中科院分区：
文献类型：
--
作者：
Qiang Song;Fang Liu;Jinde Cao;Jianquan Lu
本文研究了耦合Lur 'e动力系统网络在有向拓扑下的钉扎同步问题。利用M-矩阵理论、S-过程和李雅普诺夫泛函方法，分别得到了具有固定和设计内耦合矩阵的Lur 'e网络的简单钉扎准则，其形式为线性矩阵不等式，其维数仅由单个Lur' e节点的大小决定.针对有向Lur 'e网络提出了一种选择性钉扎方案，使得网络能够全局渐近钉扎到齐次状态。仿真结果验证了理论分析的有效性。
This study considers the pinning synchronisation in a network of coupled Lur’e dynamical systems under directed topology. By using tools from M-matrix theory, S-procedure and Lyapunov functional method, some simple pinning criteria in terms of linear matrix inequalities, whose dimensions are just determined by the size of a single Lur’e node, are derived for Lur’e networks with fixed and designed inner coupling matrices, respectively. A selective pinning scheme is proposed for a directed Lur’e network such that the network can be globally asymptotically pinned to a homogeneous state. Simulation results are provided to illustrate the effectiveness of the theoretical analysis.