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
fDate :
7/1/1994 12:00:00 AM
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;
Journal_Title :
Neural Networks, IEEE Transactions on
