| 引用本文: | 刘丽缤, 游星星, 潘和平.具有不可微时变时滞四元数神经网络的全局μ－稳定性(J/M/D/N,J:杂志，M：书，D：论文，N：报纸).期刊名称,2019，36（5）：52-57 |
| CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435 |
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| 摘要: |
| 稳定性是实值、复值、四元数神经网络在众多领域应用中首要关心的问题，针对具有不可微时变时滞的四元数神经网络的全局μ－稳定性问题，提出了在不要求网络可分解情况下的充分性判据；将四元数神经网络整体考虑，通过构造合适的Lyapunov-Krasovskii泛函，运用自由权矩阵和矩阵不等式等技术，获得了所研究网络平衡点的全局μ－稳定性的充分性条件，给出的稳定性判据是四元数线性矩阵不等式表示的,同时将所得结果与已有的结果进行了对比；最后通过一个数值仿真实例验证了结果的有效性. |
| 关键词: 四元数神经网络；不可微时变时滞；全局μ－稳定性 线性矩阵不等式 |
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| Global μ-stability of Quaternion-valued Neural Networks with Non-ifferentiable Time-varying Delays |
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LIU Li-bin, YOU Xing-xing, PAN He-ping
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| Abstract: |
| Stability is the primary concern of real-valued, complex valued, quaternion-valued neural networks in many applications.In the case where the quaternion-valued neural networks(QVNNs) with non-differential time-varying delays is not required to be separated, the sufficiency criterion of the globalμ-stability problem for networks is proposed.By constructing the appropriate Lyapunov Krasovskii functional, using the techniques of free weight matrix and matrix inequality, the sufficient conditions for the globalμ-stability of the equilibrium point of the network under study are obtained.The linear matrix inequalities global μ-stability criterion is provided in the form of quaternion valued linear matrix inequality (QVLMI).In addition, the results are compared with the existing results.Finally, a numerical example is also given to illustrate the validity and feasibility of the conclusion. |
| Key words: quaternion-valued neural networks non-differentiable time-varying delays global μ-stability linear matrix inequality |
