On the connection between the theory of signal flow graphs and the theory of directed graphs

J. Niedereichholz

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1970)

  • Volume: 4, Issue: R2, page 3-9
  • ISSN: 0764-583X

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Niedereichholz, J.. "On the connection between the theory of signal flow graphs and the theory of directed graphs." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 4.R2 (1970): 3-9. <http://eudml.org/doc/193142>.

@article{Niedereichholz1970,
author = {Niedereichholz, J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {eng},
number = {R2},
pages = {3-9},
publisher = {Dunod},
title = {On the connection between the theory of signal flow graphs and the theory of directed graphs},
url = {http://eudml.org/doc/193142},
volume = {4},
year = {1970},
}

TY - JOUR
AU - Niedereichholz, J.
TI - On the connection between the theory of signal flow graphs and the theory of directed graphs
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1970
PB - Dunod
VL - 4
IS - R2
SP - 3
EP - 9
LA - eng
UR - http://eudml.org/doc/193142
ER -

References

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  1. [1] BUSACKER ( R.G.) et SAATY ( T. L.). Finite graphs and networks. New York, McGraw Hill, 1965. Zbl0146.20104MR209176
  2. [2] CHOW ( S. P.). « Topology : A shorcut to understanding Systems », Electronics, 1967, 40, 82-94. 
  3. [3] CHOW ( Y.) et CASSIGNOL ( E.). Sur les graphes de transfert d'un système linéaire. Compt. rend. Acad. Sci., 1961, 251, 1365-1367. 
  4. [4] CHOW ( Y.) et ROE ( P. H.). « A note on matrix graphs », IEEE Trans., CT-10, 1963, 308-130. 
  5. [5] COATES ( C. L.). « Flow-graph solutions of linear algebraic equations », IRE Trans., T-6, 1959, 170-187. 
  6. [6] DESOER ( C. A'). « The optimum formula for the gain of a flow graph or a simple derivation of Coates' formula », Proc. IRE, 1960, 48, 833-889. 
  7. [7] MASON ( S. J.). « Feedback theory-someproperties of signal-flow graphs », Proc. IRE, 1953, 41, 1144-1156. 
  8. [8] NIEDEREICHHOLZ ( J.). Grundzüge einer System analyse ökonomischer Modelle mittels Flussgraphen, ). Jahrbücher für Nationalokonomie und Statistik, 1969, 183, 1. 
  9. [9] ORE ( o.). « Graphs and matching theorems », Duke Math. J., 1955, 22, 625-639. Zbl0068.16301MR73171
  10. [10] REO ( P. H.). State equations of dynamic systems, Univ. of Waterloo, Waterloo, Ontario, 1962. 

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