Piecewise affine neural networks and nonlinear control: Stability results

Charles Albert Lehalle; Robert Azencott

doi:10.1049/cp:19991177

Piecewise affine neural networks and nonlinear control: Stability results

Charles Albert Lehalle
, Robert Azencott

ENS Paris-Saclay

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The stability properties of artificial neural networks, piecewise affine perceptrons (PAP), tuned to control is presented. They have properties that can be used to initialize them to control a given nonlinear system. The stability results are obtained by constructing piecewise quadratic Lyapunov functions.

Original language	English
Title of host publication	IEE Conference Publication
Publisher	IEE
Pages	608-612
Number of pages	5
Edition	470
ISBN (Print)	0852967217, 9780852967218
DOIs	https://doi.org/10.1049/cp:19991177
Publication status	Published - 1 Jan 1999
Externally published	Yes
Event	Proceedings of the 1999 the 9th International Conference on 'Artificial Neural Networks (ICANN99)' - Edinburgh, UK Duration: 7 Sept 1999 → 10 Sept 1999

Publication series

Name	IEE Conference Publication
Number	470
Volume	2
ISSN (Print)	0537-9989

Conference

Conference	Proceedings of the 1999 the 9th International Conference on 'Artificial Neural Networks (ICANN99)'
City	Edinburgh, UK
Period	7/09/99 → 10/09/99

Access to Document

10.1049/cp:19991177

Cite this

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title = "Piecewise affine neural networks and nonlinear control: Stability results",

abstract = "The stability properties of artificial neural networks, piecewise affine perceptrons (PAP), tuned to control is presented. They have properties that can be used to initialize them to control a given nonlinear system. The stability results are obtained by constructing piecewise quadratic Lyapunov functions.",

author = "Lehalle, \{Charles Albert\} and Robert Azencott",

year = "1999",

month = jan,

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doi = "10.1049/cp:19991177",

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series = "IEE Conference Publication",

publisher = "IEE",

number = "470",

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note = "Proceedings of the 1999 the 9th International Conference on 'Artificial Neural Networks (ICANN99)' ; Conference date: 07-09-1999 Through 10-09-1999",

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T2 - Proceedings of the 1999 the 9th International Conference on 'Artificial Neural Networks (ICANN99)'

AU - Lehalle, Charles Albert

AU - Azencott, Robert

PY - 1999/1/1

Y1 - 1999/1/1

N2 - The stability properties of artificial neural networks, piecewise affine perceptrons (PAP), tuned to control is presented. They have properties that can be used to initialize them to control a given nonlinear system. The stability results are obtained by constructing piecewise quadratic Lyapunov functions.

AB - The stability properties of artificial neural networks, piecewise affine perceptrons (PAP), tuned to control is presented. They have properties that can be used to initialize them to control a given nonlinear system. The stability results are obtained by constructing piecewise quadratic Lyapunov functions.

UR - https://www.scopus.com/pages/publications/0033335771

U2 - 10.1049/cp:19991177

DO - 10.1049/cp:19991177

M3 - Conference contribution

AN - SCOPUS:0033335771

SN - 0852967217

SN - 9780852967218

T3 - IEE Conference Publication

SP - 608

EP - 612

BT - IEE Conference Publication

PB - IEE

Y2 - 7 September 1999 through 10 September 1999

ER -

Piecewise affine neural networks and nonlinear control: Stability results

Abstract

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