Foundations of system theory: multidecomposable systems

Brian D.O. Anderson; Michael A. Arbib; Ernest G. Manes

doi:10.1016/0016-0032(76)90074-0

Foundations of system theory: multidecomposable systems

Brian D.O. Anderson^*
, Michael A. Arbib
, Ernest G. Manes

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The paper discusses multilinear, and more generally multidecomposable, machines. An m-linear machine is shown to be realizable as a network of k-linear machines for k≤(m-1), linked by certain memoryless m-linear maps. In this way, an m-linear machine can be broken down into linear machines and multilinear memoryless maps.

Original language	English
Pages (from-to)	497-508
Number of pages	12
Journal	Journal of the Franklin Institute
Volume	301
Issue number	6
DOIs	https://doi.org/10.1016/0016-0032(76)90074-0
Publication status	Published - Jun 1976
Externally published	Yes

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title = "Foundations of system theory: multidecomposable systems",

abstract = "The paper discusses multilinear, and more generally multidecomposable, machines. An m-linear machine is shown to be realizable as a network of k-linear machines for k≤(m-1), linked by certain memoryless m-linear maps. In this way, an m-linear machine can be broken down into linear machines and multilinear memoryless maps.",

author = "Anderson, \{Brian D.O.\} and Arbib, \{Michael A.\} and Manes, \{Ernest G.\}",

year = "1976",

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doi = "10.1016/0016-0032(76)90074-0",

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volume = "301",

pages = "497--508",

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T1 - Foundations of system theory

T2 - multidecomposable systems

AU - Anderson, Brian D.O.

AU - Arbib, Michael A.

AU - Manes, Ernest G.

PY - 1976/6

Y1 - 1976/6

N2 - The paper discusses multilinear, and more generally multidecomposable, machines. An m-linear machine is shown to be realizable as a network of k-linear machines for k≤(m-1), linked by certain memoryless m-linear maps. In this way, an m-linear machine can be broken down into linear machines and multilinear memoryless maps.

AB - The paper discusses multilinear, and more generally multidecomposable, machines. An m-linear machine is shown to be realizable as a network of k-linear machines for k≤(m-1), linked by certain memoryless m-linear maps. In this way, an m-linear machine can be broken down into linear machines and multilinear memoryless maps.

UR - https://www.scopus.com/pages/publications/0016965274

U2 - 10.1016/0016-0032(76)90074-0

DO - 10.1016/0016-0032(76)90074-0

M3 - Article

AN - SCOPUS:0016965274

SN - 0016-0032

VL - 301

SP - 497

EP - 508

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 6

ER -

Foundations of system theory: multidecomposable systems

Abstract

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