Global exponential stability and periodic solutions of delay Hopfield neural networks
- 1 February 1996
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 27 (2) , 227-231
- https://doi.org/10.1080/00207729608929208
Abstract
Both global exponential stability and periodic solutions of delay Hopfield neural networks are analysed via the method of constructing suitable Lyapunov functionals. Simple sufficient conditions are given for global exponential stability and the existence of periodic solutions. The conditions are presented in terms of the parameters of the connection matrix, and they are easy to check and apply in practiceKeywords
This publication has 11 references indexed in Scilit:
- On Global Asymptotic Stability of a Class of Nonlinear Systems Arising in Neural Network TheoryJournal of Differential Equations, 1994
- How delays affect neural dynamics and learningIEEE Transactions on Neural Networks, 1994
- Exponential stability and oscillation of Hopfield graded response neural networkIEEE Transactions on Neural Networks, 1994
- Stability and dynamics of delay-type general and cellular neural networksIEEE Transactions on Circuits and Systems I: Regular Papers, 1992
- Neural network architecture for crossbar switch controlIEEE Transactions on Circuits and Systems, 1991
- Stability in contractive nonlinear neural networksIEEE Transactions on Biomedical Engineering, 1990
- Qualitative analysis of neural networksIEEE Transactions on Circuits and Systems, 1989
- Stability of analog neural networks with delayPhysical Review A, 1989
- Qualitative analysis and synthesis of a class of neural networksIEEE Transactions on Circuits and Systems, 1988
- Computing with Neural Circuits: A ModelScience, 1986