Realization of limit cycles by neural networks with piecewise linear activation function

Norikazu Takahashi; Tsuyoshi Yamakawa; Tetsuo Nishi

doi:10.1109/ECCTD.2005.1523047

Realization of limit cycles by neural networks with piecewise linear activation function

Norikazu Takahashi, Tsuyoshi Yamakawa, Tetsuo Nishi

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

3 Citations (Scopus)

Abstract

A simple method of realizing a prescribed limit cycle by means of a continuous-time recurrent neural network with the piecewise-linear activation function is proposed. Since the proposed method is formulated as a set of linear inequalities, we can easily determine parameters of the network by using, for example, the simplex method.

Original language	English
Title of host publication	Proceedings of the 2005 European Conference on Circuit Theory and Design
Pages	7-10
Number of pages	4
DOIs	https://doi.org/10.1109/ECCTD.2005.1523047
Publication status	Published - Dec 1 2005
Externally published	Yes
Event	2005 European Conference on Circuit Theory and Design - Cork, Ireland Duration: Aug 28 2005 → Sep 2 2005

Publication series

Name	Proceedings of the 2005 European Conference on Circuit Theory and Design
Volume	3

Other

Other	2005 European Conference on Circuit Theory and Design
Country	Ireland
City	Cork
Period	8/28/05 → 9/2/05

ASJC Scopus subject areas

Engineering(all)

Access to Document

10.1109/ECCTD.2005.1523047

Fingerprint Dive into the research topics of 'Realization of limit cycles by neural networks with piecewise linear activation function'. Together they form a unique fingerprint.

Cite this

Realization of limit cycles by neural networks with piecewise linear activation function. / Takahashi, Norikazu; Yamakawa, Tsuyoshi; Nishi, Tetsuo.

Proceedings of the 2005 European Conference on Circuit Theory and Design. 2005. p. 7-10 1523047 (Proceedings of the 2005 European Conference on Circuit Theory and Design; Vol. 3).

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

Takahashi, N, Yamakawa, T & Nishi, T 2005, Realization of limit cycles by neural networks with piecewise linear activation function. in Proceedings of the 2005 European Conference on Circuit Theory and Design., 1523047, Proceedings of the 2005 European Conference on Circuit Theory and Design, vol. 3, pp. 7-10, 2005 European Conference on Circuit Theory and Design, Cork, Ireland, 8/28/05. https://doi.org/10.1109/ECCTD.2005.1523047

@inproceedings{1c9c7a0d21774d6f999e6f61989b0219,

title = "Realization of limit cycles by neural networks with piecewise linear activation function",

abstract = "A simple method of realizing a prescribed limit cycle by means of a continuous-time recurrent neural network with the piecewise-linear activation function is proposed. Since the proposed method is formulated as a set of linear inequalities, we can easily determine parameters of the network by using, for example, the simplex method.",

author = "Norikazu Takahashi and Tsuyoshi Yamakawa and Tetsuo Nishi",

year = "2005",

month = dec,

day = "1",

doi = "10.1109/ECCTD.2005.1523047",

language = "English",

isbn = "0780390660",

series = "Proceedings of the 2005 European Conference on Circuit Theory and Design",

pages = "7--10",

booktitle = "Proceedings of the 2005 European Conference on Circuit Theory and Design",

note = "2005 European Conference on Circuit Theory and Design ; Conference date: 28-08-2005 Through 02-09-2005",

}

TY - GEN

T1 - Realization of limit cycles by neural networks with piecewise linear activation function

AU - Takahashi, Norikazu

AU - Yamakawa, Tsuyoshi

AU - Nishi, Tetsuo

PY - 2005/12/1

Y1 - 2005/12/1

N2 - A simple method of realizing a prescribed limit cycle by means of a continuous-time recurrent neural network with the piecewise-linear activation function is proposed. Since the proposed method is formulated as a set of linear inequalities, we can easily determine parameters of the network by using, for example, the simplex method.

AB - A simple method of realizing a prescribed limit cycle by means of a continuous-time recurrent neural network with the piecewise-linear activation function is proposed. Since the proposed method is formulated as a set of linear inequalities, we can easily determine parameters of the network by using, for example, the simplex method.

UR - http://www.scopus.com/inward/record.url?scp=33749022788&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33749022788&partnerID=8YFLogxK

U2 - 10.1109/ECCTD.2005.1523047

DO - 10.1109/ECCTD.2005.1523047

M3 - Conference contribution

AN - SCOPUS:33749022788

SN - 0780390660

SN - 9780780390669

T3 - Proceedings of the 2005 European Conference on Circuit Theory and Design

SP - 7

EP - 10

BT - Proceedings of the 2005 European Conference on Circuit Theory and Design

T2 - 2005 European Conference on Circuit Theory and Design

Y2 - 28 August 2005 through 2 September 2005

ER -