Improved approach to the problem of the global Mittag-Leffler synchronization for fractional-order multidimension-valued BAM neural networks based on new inequalities
Improved approach to the problem of the global Mittag-Leffler synchronization for fractional-order multidimension-valued BAM neural networks based on new inequalities
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DOI：
10.1016/j.neunet.2020.10.008
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发表时间：
2020-10
期刊：
影响因子：
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通讯作者：
Jianying Xiao;S. Zhong;S. Wen
中科院分区：
文献类型：
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作者：
Jianying Xiao;S. Zhong;S. Wen
研究了具有一般激活函数的分数阶多维值BAM神经网络（fomvbamnn）的全局Mittag-Leffler同步问题。首先，对所研究的fomvbamnn系统建立统一的模型，只要将神经网络的状态变量、连接权值和af赋值为实数、复数或四元数，就可以转化为相应的多维值系统。然后，在不进行任何分解的情况下，通过构造向量形式的新的Lyapunov-Krasovskii泛函（LKFs），结合两个新的不等式并考虑简单的控制器，得到统一形式的判据。值得一提的是，所得到的准则具有灵活性高、多样性大、计算量小、保守性低等优点。最后，通过仿真实例说明了所得结果的有效性和改进。
This paper studies the problem of the global Mittag-Leffler synchronization for fractional-order multidimension-valued BAM neural networks (FOMVBAMNNs) with general activation functions (AFs). First, the unified model is established for the researched systems of FOMVBAMNNs which can be turned into the corresponding multidimension-valued systems as long as the state variables, the connection weights and the AFs of the neural networks are valued to be real, complex, or quaternion. Then, without any decomposition, the criteria in unified form are derived by constructing the new Lyapunov–Krasovskii functionals (LKFs) in vector form, combining two new inequalities and considering the easy controllers. It is worth mentioning that the obtained criteria have many advantages in higher flexibility, more diversity, smaller computation, and lower conservatism. Finally, a simulation example is provided to illustrate the availability and improvements of the acquired results.