Title :
On the stability of LAPART
Author :
Abdallah, C.T. ; Heileman, G.L. ; Healy, M.J.
Author_Institution :
Dept. of Electr. & Comput. Eng., New Mexico Univ., Albuquerque, NM, USA
Abstract :
In this paper we show how the stability of a LAPART neural network can be deduced as a result of a general theorem on the input/output stability of nonlinear systems. This result gives conditions on how to choose certain parameters in the LAPART network in order to guarantee stability, which has implications on LAPART´s generalization properties and its noise robustness
Keywords :
ART neural nets; input-output stability; nonlinear control systems; stability criteria; ART neural network; I/O stability; LAPART neural network; generalization; input/output stability; noise robustness; nonlinear systems; parameter selection; Chaos; Neural networks; Neurofeedback; Noise robustness; Nonlinear control systems; Nonlinear systems; Output feedback; Robust stability; Subspace constraints; Unsupervised learning;
Conference_Titel :
Systems, Man, and Cybernetics, 1997. Computational Cybernetics and Simulation., 1997 IEEE International Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-4053-1
DOI :
10.1109/ICSMC.1997.638162
