Further results on controllability of recurrent neural networks

Details Further results on controllability of recurrent neural networks Further results on controllability of recurrent neural networks

1999-02-03

arxiv.org/abs/math/9902023v1

Mathematics

Optimization and Control

12 pages

Scientific paper

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

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