Systems combining linearity and saturations, and relations of `neural nets'

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper deals with control systems consisting of linearly interconnected integrators (or delay lines) and scalar nonlinearities. For linear systems with saturating sensors, we mention results on observability and minimal realization. When saturations appear in actuators, questions of control become of interest, and we describe stabilization techniques. If there are feedback loops containing the nonlinearities, `recurrent neural nets' are obtained, and we discuss various issues relating to their computational power and identifiability of parameters. Parts of the work surveyed here were jointly pursued with Francesca Albertini, Renee Schwarzschild, Hava Siegelmann.

Original languageEnglish (US)
Title of host publicationIFAC Symposia Series
PublisherPubl by Pergamon Press Inc
Pages15-21
Number of pages7
Edition7
ISBN (Print)0080419011
StatePublished - 1993
EventProceedings of the IFAC Symposium on Nonlinear Control Systems Design 1992 - Bordeaux, Fr
Duration: Jun 24 1992Jun 26 1992

Publication series

NameIFAC Symposia Series
Number7
ISSN (Print)0962-9505

Other

OtherProceedings of the IFAC Symposium on Nonlinear Control Systems Design 1992
CityBordeaux, Fr
Period6/24/926/26/92

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Fingerprint

Dive into the research topics of 'Systems combining linearity and saturations, and relations of `neural nets''. Together they form a unique fingerprint.

Cite this