Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900577 | Applied Mathematics and Computation | 2018 | 17 Pages |
Abstract
The robust stability for memristor-based fractional-order Complex-Valued Neural Networks (FCVNNs) with time delay is investigated here. In complex plane, by using the Lyapunov method, and under the sense of Filippov solutions, the existence of unique equilibrium and globally asymptotic stability for such Neural Networks (NNs) have been obtained when the nonlinear complex-valued activation functions could be split into two(real and imaginary) parts. Moreover, locally asymptotic stability for such Neural NNs have been proposed when the nonlinear complex activation functions are bounded. Lastly, three numerical examples are given to confirm the efficiency of theorems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuting Zhang, Yongguang Yu, Xueli Cui,