Name
Title | ||
|---|---|---|
Novel methods to global Mittag-Leffler stability of delayed fractional-order quaternion-valued neural networks |
Abstract | ||
|---|---|---|
In this paper, a type of fractional-order quaternion-valued neural networks (FOQVNNs) with leakage and time-varying delays is established to simulate real-world situations, and the global Mittag-Leffler stability of the system is investigated by using the non-decomposition method. First, to avoid decomposing the system into two complex-valued systems or four real-valued systems, a new sign function for quaternion numbers is introduced based on the ones for real and complex numbers. And two novel lemmas for quaternion-valued sign function and Caputo fractional derivative are established in quaternion domain, which are used to investigate the stability of FOQVNNs. Second, a concise and flexible quaternion-valued state feedback controller is directly designed and a novel 1-norm Lyapunov function composed of the absolute values of real and imaginary parts is established. Then, based on the designed quaternion-valued state feedback controller and the proposed lemmas, some sufficient conditions are given to ensure the global Mittag-Leffler stability of the system. Finally, a numerical simulation is given to verify the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.neunet.2021.07.005 | Neural Networks |
Keywords | DocType | Volume |
Fractional-order,Mittag-Leffler stability,Quaternion-valued neural networks,Leakage delay,Time-varying delay | Journal | 142 |
Issue | ISSN | Citations |
1 | 0893-6080 | 1 |
PageRank | References | Authors |
0.35 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hongyun Yan | 1 | 1 | 1.03 |
| Yuanhua Qiao | 2 | 3 | 2.07 |
| Lijuan Duan | 3 | 1 | 2.72 |
| Jun Miao | 4 | 11 | 3.31 |