Title
Relative order and inverses of recurrent networks
Abstract
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 implications for the use of recurrent networks in the inverse-model-based control of nonlinear systems.
Year
DOI
Venue
1996
10.1016/0005-1098(95)00098-4
Automatica (Journal of IFAC)
Keywords
Field
DocType
recurrent network,relative order
Inverse,Nonlinear system,Control theory,Invariant (mathematics),Differential geometry,Control system,Artificial neural network,Dynamical system,Mathematics
Journal
Volume
Issue
ISSN
32
1
0005-1098
Citations 
PageRank 
References 
3
0.82
2
Authors
6
Name
Order
Citations
PageRank
C. Kambhampati15410.68
S. Manchanda241.17
a e delgado330.82
G. G. R. Green430.82
Kevin Warwick512921.37
Ming T. Tham6324.77