FINITE TIME SYNCHRONIZATION OF COMPLEX DYNAMICAL NETWORKS
FINITE TIME SYNCHRONIZATION OF COMPLEX DYNAMICAL NETWORKS
复制标题
复杂动态网络的有限时间同步
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Y. Chen
中科院分区：
文献类型：
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作者：
J. Lü;Y. Chen
复杂网络无处不在，同步是自然界中普遍存在的一种重要的非线性现象。近十年来，许多研究者对复杂动态网络的同步进行了深入的研究，包括全同同步、分簇同步、部分同步等。它是渐近的，即复杂网络只有在时间t趋于无穷大时才能实现同步，然而，复杂网络在多长时间内能达到同步的结果报道很少，本文将基于两类典型的具有非线性耦合的复杂动力网络，进一步探讨复杂动力网络的有限时间同步问题，具体地说，在一定的条件下，证明了上述复杂动力学网络可以在有限时间内实现精确同步，最后通过一个典型的数值模拟验证了所提出的有限时间同步判据的有效性，特别是指出有限时间同步判据的有效性，时间同步成功地克服了同步时间无限大的困难，上述结果对实际工程应用具有重要的实际意义。
Complex networks are everywhere.Synchronization is a very important nonlinear phenomenon which universally exists in nature.Over the last decade,many researchers have further investigated the synchronization of complex dynamical networks,including identical synchronzation,clustering synchronization,partial synchronization,and so on.The characterization of synchronous speed of complex dynamical networks in most known res(?)lts is asymptotic.That is,complex networks can realize synchronization only when the time t tends to infinity.However,there are few results reported on how long complex networks can reach synchronization.Based on two kinds of typical complex dynamical networks with nonlinear coupling,this paper will further explore the finite-time synchronization of complex dynamical networks.In detail,under some suitable conditions,it is proved that the above complex dynamical networks can realize accurate synchronization within finite- time.Moreover,a typical numerical simulation is then given to validate the effectiveness of the proposed criteria for finitetime synchronization.It should be especially pointed out that the finite-time synchronization sucessfully overcomes the difficulty of infinite synchronous time.The above results have some important practical meaning for the real-world engineering application.