时变时滞和参数不确定性离散时间复杂网络的同步判据。
Synchronization criteria of discrete-time complex networks with time-varying delays and parameter uncertainties.
机构信息
Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram, 624 302 Tamilnadu India.
出版信息
Cogn Neurodyn. 2014 Jun;8(3):199-215. doi: 10.1007/s11571-013-9272-y. Epub 2013 Nov 5.
Abstract
This paper is pertained with the synchronization problem for an array of coupled discrete-time complex networks with the presence of both time-varying delays and parameter uncertainties. The time-varying delays are considered both in the network couplings and dynamical nodes. By constructing suitable Lyapunov-Krasovskii functional and utilizing convex reciprocal lemma, new synchronization criteria for the complex networks are established in terms of linear matrix inequalities. Delay-partitioning technique is employed to incur less conservative results. All the results presented here not only depend upon lower and upper bounds of the time-delay, but also the number of delay partitions. Numerical simulations are rendered to exemplify the effectiveness and applicability of the proposed results.
摘要
本文针对同时存在时变时滞和参数不确定性的耦合离散时间复网络的同步问题进行了研究。时变时滞既存在于网络耦合中，也存在于动态节点中。通过构造合适的李雅普诺夫-克拉索夫斯基泛函，并利用凸余切引理，以线性矩阵不等式的形式给出了复网络的新同步判据。采用延迟分区技术可以得到更保守的结果。这里提出的所有结果不仅取决于时滞的下界和上界，还取决于延迟分区的数量。数值模拟结果验证了所提出方法的有效性和适用性。
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