Name
Title | ||
|---|---|---|
Global μ-Stability of Quaternion-Valued Neural Networks With Unbounded and Asynchronous Time-Varying Delays. |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/ACCESS.2019.2891721 | IEEE ACCESS |
Keywords | DocType | Volume |
mu-stability,quaternion-valued neural network,unbounded,asynchronous,time-varying delays | Journal | 7 |
ISSN | Citations | PageRank |
2169-3536 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiwei Liu | 1 | 652 | 40.95 |
| Zhonghua Li | 2 | 34 | 4.59 |