Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems

Dibyendu Baksi; Kanti B. Datta; Goshaidas Ray

Kybernetika (2002)

  • Volume: 38, Issue: 2, page [209]-216
  • ISSN: 0023-5954

Abstract

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A necessary and sufficient condition for the existence of pole and zero structures in a proper rational matrix equation T 2 X = T 1 is developed. This condition provides a new interpretation of sufficient conditions which ensure decentralized stabilizability of an expanded system. A numerical example illustrate the theoretical results.

How to cite

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Baksi, Dibyendu, Datta, Kanti B., and Ray, Goshaidas. "Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems." Kybernetika 38.2 (2002): [209]-216. <http://eudml.org/doc/33576>.

@article{Baksi2002,
abstract = {A necessary and sufficient condition for the existence of pole and zero structures in a proper rational matrix equation $T_\{2\} X = T_\{1\}$ is developed. This condition provides a new interpretation of sufficient conditions which ensure decentralized stabilizability of an expanded system. A numerical example illustrate the theoretical results.},
author = {Baksi, Dibyendu, Datta, Kanti B., Ray, Goshaidas},
journal = {Kybernetika},
keywords = {pole-zero structure; decentralized stabilizability; expanded system; rational matrix equation; pole-zero structure; decentralized stabilizability; expanded system; rational matrix equation},
language = {eng},
number = {2},
pages = {[209]-216},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems},
url = {http://eudml.org/doc/33576},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Baksi, Dibyendu
AU - Datta, Kanti B.
AU - Ray, Goshaidas
TI - Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 2
SP - [209]
EP - 216
AB - A necessary and sufficient condition for the existence of pole and zero structures in a proper rational matrix equation $T_{2} X = T_{1}$ is developed. This condition provides a new interpretation of sufficient conditions which ensure decentralized stabilizability of an expanded system. A numerical example illustrate the theoretical results.
LA - eng
KW - pole-zero structure; decentralized stabilizability; expanded system; rational matrix equation; pole-zero structure; decentralized stabilizability; expanded system; rational matrix equation
UR - http://eudml.org/doc/33576
ER -

References

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  7. Unyelioglu K. A., Ozguler A. B., Decentralized stabilization of multivariable systems using stable proper fractional approach, Communication, Control and Signal Processing (1990), 843–849 (1990) 
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  9. Vidyasagar M., Control Systems Synthesis: A Factorization Approach, M.I.T. Press, Cambridge, MA 1985 MR0787045

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