Estimate of exponential convergence rate and exponential stability for neural networks
- 1 January 1999
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Neural Networks
- Vol. 10 (6) , 1487-1493
- https://doi.org/10.1109/72.809094
Abstract
Estimate of exponential convergence rate and exponential stability are studied for a class of neural networks which includes the Hopfield neural networks and the cellular neural networks. Both local and global exponential convergence is discussed. Theorems for estimate of exponential convergence rate are established and the bounds on the rate of convergence are given. The domains of attraction in the case of local exponential convergence are obtained. Simple conditions are presented for checking exponential stability of the neural networks.Keywords
This publication has 12 references indexed in Scilit:
- Comments on "New conditions for global stability of neural networks with application to linear and quadratic programming problems"IEEE Transactions on Circuits and Systems I: Regular Papers, 1997
- Brief communication Periodic solutions and stability of Hopfield neural networks with variable delaysInternational Journal of Systems Science, 1996
- Global exponential stability and periodic solutions of delay Hopfield neural networksInternational Journal of Systems Science, 1996
- New conditions for global stability of neural networks with application to linear and quadratic programming problemsIEEE Transactions on Circuits and Systems I: Regular Papers, 1995
- On Global Asymptotic Stability of a Class of Nonlinear Systems Arising in Neural Network TheoryJournal of Differential Equations, 1994
- Necessary and sufficient condition for absolute stability of neural networksIEEE Transactions on Circuits and Systems I: Regular Papers, 1994
- Exponential stability and oscillation of Hopfield graded response neural networkIEEE Transactions on Neural Networks, 1994
- Exponential stability and a systematic synthesis of a neural network for quadratic minimizationNeural Networks, 1991
- Qualitative analysis of neural networksIEEE Transactions on Circuits and Systems, 1989
- Cellular neural networks: theoryIEEE Transactions on Circuits and Systems, 1988