Beyond Volterra and Wiener: some new results and open problems in nonlinear circuits and systems

Author

DeFigueiredo, Rui J P

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Irvine, CA, USA

fYear

1998

fDate

9-12 Aug 1998

Firstpage

124

Lastpage

127

Abstract

New developments in nonlinear dynamical systems are permitting Volterra and Wiener nonlinear functional series representations to be optimally approximated by artificial neural networks, which are capable of adaptation, learning and evoluation by training. The enabling framework developed by the author based on a Generalized Fock Space is described. In particular, the realization of a best approximation to Wiener´s Laguerre/Hermite representation in terms of a dynamical functional artificial neural network (D-FANN) is presented. Possible impact on new technologies is discussed

Keywords

Volterra series; approximation theory; circuit CAD; circuit analysis computing; control system CAD; control system analysis computing; neural nets; nonlinear control systems; nonlinear dynamical systems; nonlinear network analysis; nonlinear network synthesis; series (mathematics); Volterra nonlinear functional series; Wiener nonlinear functional series; artificial neural networks; dynamical functional ANN; generalized Fock space; nonlinear circuits; nonlinear dynamical systems; nonlinear functional series representations; Artificial neural networks; Ear; Electronic switching systems; Kernel; Large-scale systems; Multi-layer neural network; Nonlinear circuits; Nonlinear dynamical systems; Smoothing methods; Space technology;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1998. Proceedings. 1998 Midwest Symposium on

Conference_Location

Notre Dame, IN

Print_ISBN

0-8186-8914-5

Type

conf

DOI

10.1109/MWSCAS.1998.759452

Filename

759452