DocumentCode
1122968
Title
Second-order bounds on the domain of attraction and the rate of convergence of nonlinear dynamical systems and neural networks
Author
Peterfreund, Natan ; Baram, Yoram
Author_Institution
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Volume
5
Issue
4
fYear
1994
fDate
7/1/1994 12:00:00 AM
Firstpage
551
Lastpage
560
Abstract
We present a method for analyzing the convergence properties of nonlinear dynamical systems yielding second-order bounds on the domain of attraction of an asymptotically stable equilibrium point and on the time of convergence in the estimated domain. We show that under certain conditions on the system, there exists an analytic solution to the corresponding optimization problem. The method is applied in analyzing the dynamics of a neural network model
Keywords
convergence; neural nets; nonlinear dynamical systems; nonlinear systems; asymptotically stable equilibrium point; attraction domain; convergence rate; neural networks; nonlinear dynamical systems; optimization; second-order bounds; Convergence; Differential equations; Helium; Neural networks; Neurons; Nonlinear dynamical systems; Stability; Sufficient conditions; Upper bound; Yield estimation;
fLanguage
English
Journal_Title
Neural Networks, IEEE Transactions on
Publisher
ieee
ISSN
1045-9227
Type
jour
DOI
10.1109/72.298225
Filename
298225
Link To Document