Passivity Analysis for Quaternion-Valued Memristor-Based Neural Networks With Time-Varying Delay.
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ID: 20319
2019
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Abstract
This paper is concerned with the problem of global exponential passivity for quaternion-valued memristor-based neural networks (QVMNNs) with time-varying delay. The QVMNNs can be seen as a switched system due to the memristor parameters are switching according to the states of the network. This is the first time that the global exponential passivity of QVMNNs with time-varying delay is investigated. By means of a nondecomposition method and structuring novel Lyapunov functional in form of quaternion self-conjugate matrices, the delay-dependent passivity criteria are derived in the forms of quaternion-valued linear matrix inequalities (LMIs) as well as complex-valued LMIs. Furthermore, the asymptotical stability criteria can be obtained from the proposed passivity criteria. Finally, a numerical example is presented to illustrate the effectiveness of the theoretical results.
| Reference Key |
li2019passivityieee
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|---|---|
| Authors | Li, Ning;Zheng, Wei Xing; |
| Journal | IEEE Transactions on Neural Networks and Learning Systems |
| Year | 2019 |
| DOI |
10.1109/TNNLS.2019.2908755
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| URL | |
| Keywords | Keywords not found |
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