Hybrid adaptive and impulsive synchronisation of uncertain complex dynamical networks by the generalised Barbalat's lemma
Hybrid adaptive and impulsive synchronisation of uncertain complex dynamical networks by the generalised Barbalat's lemma
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DOI：
10.1049/iet-cta.2008.0335
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发表时间：
2009-10
影响因子：
2.6
通讯作者：
Haibo Jiang
中科院分区：
文献类型：
--
作者：
Haibo Jiang
研究了一类不确定复杂动态网络的鲁棒局部和全局混合自适应脉冲同步问题。针对一类具有未知但有界非线性耦合的复杂动态网络，基于自适应控制理论和脉冲控制理论，设计了混合自适应脉冲控制器。利用推广的Barbalat引理，证明了不确定复杂动态网络是局部或全局渐近同步的。建立了几个鲁棒的局部和全局混合自适应脉冲同步准则。两个数值例子证明了所提出的控制器设计方法的有效性。
Robust local and global hybrid adaptive and impulsive synchronisation for a class of uncertain complex dynamical networks are investigated in this study, respectively. For the complex dynamical network with unknown but bounded non-linear couplings, with unknown bounds, hybrid adaptive and impulsive controllers are designed based on adaptive control theory and impulsive control theory. By the generalised Barbalat's lemma, the uncertain complex dynamical network is proved to be locally or globally asymptotically synchronised. Several robust local and global hybrid adaptive and impulsive synchronisation criteria are also established. Two numerical examples are given to demonstrate the effectiveness of the proposed controller design methods.