Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance

Adaptive function projective synchronization of uncertain complex dynamical networks with disturbance
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DOI:
10.1088/1674-1056/22/7/070503
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发表时间:
2013-07
期刊:
影响因子:
1.7
通讯作者:
Shuguo Wang;Song Zheng
Shuguo Wang;Song Zheng
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Shuguo Wang;Song Zheng

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研究了节点不同的驱动-响应动力网络中的函数投影同步问题。针对具有不确定参数和扰动的复杂动态网络,提出了一种自适应控制器。利用Lyapunov稳定性理论和泰勒展开式得到的自适应律不仅可以估计网络的未知参数,而且可以同时克服未知的有界扰动。最后,给出了一个数值仿真,验证了所得结果的可行性和有效性。
We investigate the problem of function projective synchronization (FPS) in drive—response dynamical networks with non-identical nodes. An adaptive controller is proposed for the FPS of complex dynamical networks with uncertain parameters and disturbance. Not only are the unknown parameters of the networks estimated by the adaptive laws obtained from the Lyapunov stability theory and Taylor expansions, but the unknown bounded disturbances are also simultaneously conquered by the proposed control. Finally, a numerical simulation is provided to illustrate the feasibility and effectiveness of the obtained result.