Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775722 | Applied Mathematics and Computation | 2017 | 18 Pages |
Abstract
This article explores the exponential stability problem of complex-valued bidirectional associative memory (BAM) neural networks with time delays. This analysis is on the basis of the M-matrix approach, the differential inclusions theory and the homeomorphism property. By constructing a novel Lyapunov functional, a sufficient criterion for the existence, uniqueness, and exponential stability for the equilibrium point of the considered system is derived. Moreover, similar results in terms of M-matrix are also obtained for the exponential stability problem of delayed complex-valued BAM neural networks without memristors. In the end, two numerical examples are provided to demonstrate the availability of the obtained results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Runan Guo, Ziye Zhang, Xiaoping Liu, Chong Lin,