This paper studies controllability properties of recurrent neural networks. The new contributions are: (1) an extension of the result in the previous paper "Complete controllability of continuous-time recurrent neural networks" (Sontag and Sussmann) to a slightly different model, where inputs appear in an affine form, (2) a formulation and proof of a necessary and sufficient condition, in terms of local-local controllability, and (3) a complete analysis of the 2-dimensional case for which the hypotheses made in previous work do not apply
Cite
@article{arxiv.math/9902023,
title = {Further results on controllability of recurrent neural networks},
author = {Eduardo D. Sontag and Y. Qiao},
journal= {arXiv preprint arXiv:math/9902023},
year = {2007}
}