Title :
A tighter bound for the echo state property
Author :
Buehner, M. ; Young, P.
Author_Institution :
Electr. & Comput. Eng. Dept., Colorado State Univ., Fort Collins, CO
fDate :
5/1/2006 12:00:00 AM
Abstract :
This letter provides a brief explanation of echo state networks (ESNs) and provides a rigorous bound for guaranteeing asymptotic stability of these networks. The stability bounds presented here could aid in the design of echo state networks that would be applicable to control applications where stability is required
Keywords :
asymptotic stability; neural nets; asymptotic stability; echo state network property; stability bounds; Artificial neural networks; Asymptotic stability; Control system synthesis; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Recurrent neural networks; Robust control; Sufficient conditions; Echo state networks (ESNs); Lyapunov stability; nonlinear systems; recurrent neural networks (RNN); robust controls; weighted operator norms; Algorithms; Artificial Intelligence; Information Storage and Retrieval; Neural Networks (Computer); Pattern Recognition, Automated; Systems Theory;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2006.872357
