The relative order and inverses of recurrent networks

@article{Kambhampati1996TheRO,
title={The relative order and inverses of recurrent networks},
author={Chandrasekhar Kambhampati and S. Manchanda and A. Delgado and Gary G. R. Green and Kevin Warwick and M. T. Tham},
journal={Automatica},
year={1996},
volume={32},
pages={117-123}
}

Differential geometry is used to investigate the structure of neural-network-based control systems. The key aspect is relative order-an invariant property of dynamic systems. Finite relative order allows the specification of a minimal architecture for a recurrent network. Any system with finite relative order has a left inverse. It is shown that a recurrent network with finite relative order has a local inverse that is also a recurrent network with the same weights. The results have… CONTINUE READING