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Stability analysis of quaternion‐valued Cohen‐Grossberg neural networks.
- Source :
- Mathematical Methods in the Applied Sciences; Jul2019, Vol. 42 Issue 10, p3721-3738, 18p
- Publication Year :
- 2019
-
Abstract
- In this paper, by starting from basic quaternion algebra properties and algorithms, a quaternion‐valued Cohen‐Grossberg neural network was derived, subsequently, several new sufficient conditions are derived to ensure existence and global asymptotic stability (GAS) and global exponential stability (GES) of the equilibrium point (EP) for quaternion‐valued Cohen‐Grossberg neural networks. The obtained criteria can be checked easily in practice and have a distinguished feature from previous studies. Finally, we have numerical evidences that the mathematical system and the conclusions presented are validated. [ABSTRACT FROM AUTHOR]
- Subjects :
- ARTIFICIAL neural networks
GLOBAL asymptotic stability
EXPONENTIAL stability
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 42
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 136785164
- Full Text :
- https://doi.org/10.1002/mma.5607