Poles and zeroes of nonlinear control systems

Jean-François Pommaret

Kybernetika (2002)

  • Volume: 38, Issue: 5, page [609]-615
  • ISSN: 0023-5954

Abstract

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During the last ten years, the concepts of “poles” and “zeros” for linear control systems have been revisited by using modern commutative algebra and module theory as a powerful substitute for the theory of polynomial matrices. Very recently, these concepts have been extended to multidimensional linear control systems with constant coefficients. Our purpose is to use the methods of “algebraic analysis” in order to extend these concepts to the variable coefficients case and, as a byproduct, to the nonlinear situation. We also provide nontrivial explicit examples.

How to cite

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Pommaret, Jean-François. "Poles and zeroes of nonlinear control systems." Kybernetika 38.5 (2002): [609]-615. <http://eudml.org/doc/33607>.

@article{Pommaret2002,
abstract = {During the last ten years, the concepts of “poles” and “zeros” for linear control systems have been revisited by using modern commutative algebra and module theory as a powerful substitute for the theory of polynomial matrices. Very recently, these concepts have been extended to multidimensional linear control systems with constant coefficients. Our purpose is to use the methods of “algebraic analysis” in order to extend these concepts to the variable coefficients case and, as a byproduct, to the nonlinear situation. We also provide nontrivial explicit examples.},
author = {Pommaret, Jean-François},
journal = {Kybernetika},
keywords = {pole; zero; nonlinear control system; pole; zero; nonlinear control system},
language = {eng},
number = {5},
pages = {[609]-615},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Poles and zeroes of nonlinear control systems},
url = {http://eudml.org/doc/33607},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Pommaret, Jean-François
TI - Poles and zeroes of nonlinear control systems
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 5
SP - [609]
EP - 615
AB - During the last ten years, the concepts of “poles” and “zeros” for linear control systems have been revisited by using modern commutative algebra and module theory as a powerful substitute for the theory of polynomial matrices. Very recently, these concepts have been extended to multidimensional linear control systems with constant coefficients. Our purpose is to use the methods of “algebraic analysis” in order to extend these concepts to the variable coefficients case and, as a byproduct, to the nonlinear situation. We also provide nontrivial explicit examples.
LA - eng
KW - pole; zero; nonlinear control system; pole; zero; nonlinear control system
UR - http://eudml.org/doc/33607
ER -

References

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