The relative order and inverses of recurrent networksKambhampati, C., Manchanda, S., Delgado, A., Green, G. R. R., Warwick, K. and Tham, M. (1996) The relative order and inverses of recurrent networks. Automatica, 32 (1). pp. 117-123. ISSN 0005-1098 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1016/0005-1098(95)00098-4 Abstract/SummaryDifferential 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 implications for the use of recurrent networks in the inverse-model-based control of nonlinear systems.
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