期刊
IEEE ACCESS
卷 7, 期 -, 页码 9128-9141出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2019.2891721
关键词
mu-stability; quaternion-valued neural network; unbounded; asynchronous; time-varying delays
资金
- National Science Foundation of China [61673298, 61203149]
- Shanghai Rising-Star Program of China [17QA1404500]
- Natural Science Foundation of Shanghai [17ZR1445700]
- Fundamental Research Funds for the Central Universities of Tongji University
In this paper, we investigate the global mu-stability problem of quaternion-valued neural networks (QVNNs) with unbounded and asynchronous time-varying delays. The decomposition of QVNNs is proposed first based on the Hamilton rules to avoid the non-communicative multiplication feature of the quaternion. Instead of establishing the Lyapunov-Krasovskii functional in the form of the Hermitian matrix, we combine the {xi, infinity}-norm and the Cauchy convergence principle to derive the sufficient conditions that guarantee the existence, uniqueness, and mu-stability of the equilibrium point. The obtained criteria here are milder, owing to the consideration of inhibitory and excitatory between neurons. Finally, a specified example is presented to verify the correctness of the obtained results.
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