State elimination for nonlinear neutral state-space systems

Miroslav Halás; Pavol Bisták

Kybernetika (2014)

  • Volume: 50, Issue: 4, page 473-490
  • ISSN: 0023-5954

Abstract

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The problem of finding an input-output representation of a nonlinear state space system, usually referred to as the state elimination, plays an important role in certain control problems. Though, it has been shown that such a representation, at least locally, always exists for both the systems with and without delays, it might be a neutral input-output differential equation in the former case, even when one starts with a retarded system. In this paper the state elimination is therefore extended further to nonlinear neutral state-space systems, and it is shown that also in such a case an input-output representation, at least locally, always exists. In general, it represents a neutral system again. Computational aspects related to the state elimination problem are discussed as well.

How to cite

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Halás, Miroslav, and Bisták, Pavol. "State elimination for nonlinear neutral state-space systems." Kybernetika 50.4 (2014): 473-490. <http://eudml.org/doc/261989>.

@article{Halás2014,
abstract = {The problem of finding an input-output representation of a nonlinear state space system, usually referred to as the state elimination, plays an important role in certain control problems. Though, it has been shown that such a representation, at least locally, always exists for both the systems with and without delays, it might be a neutral input-output differential equation in the former case, even when one starts with a retarded system. In this paper the state elimination is therefore extended further to nonlinear neutral state-space systems, and it is shown that also in such a case an input-output representation, at least locally, always exists. In general, it represents a neutral system again. Computational aspects related to the state elimination problem are discussed as well.},
author = {Halás, Miroslav, Bisták, Pavol},
journal = {Kybernetika},
keywords = {nonlinear time-delay systems; neutral systems; input-output representation; linear algebraic methods; Gröbner bases; nonlinear time-delay systems; neutral systems; input-output representation; linear algebraic methods; Gröbner bases},
language = {eng},
number = {4},
pages = {473-490},
publisher = {Institute of Information Theory and Automation AS CR},
title = {State elimination for nonlinear neutral state-space systems},
url = {http://eudml.org/doc/261989},
volume = {50},
year = {2014},
}

TY - JOUR
AU - Halás, Miroslav
AU - Bisták, Pavol
TI - State elimination for nonlinear neutral state-space systems
JO - Kybernetika
PY - 2014
PB - Institute of Information Theory and Automation AS CR
VL - 50
IS - 4
SP - 473
EP - 490
AB - The problem of finding an input-output representation of a nonlinear state space system, usually referred to as the state elimination, plays an important role in certain control problems. Though, it has been shown that such a representation, at least locally, always exists for both the systems with and without delays, it might be a neutral input-output differential equation in the former case, even when one starts with a retarded system. In this paper the state elimination is therefore extended further to nonlinear neutral state-space systems, and it is shown that also in such a case an input-output representation, at least locally, always exists. In general, it represents a neutral system again. Computational aspects related to the state elimination problem are discussed as well.
LA - eng
KW - nonlinear time-delay systems; neutral systems; input-output representation; linear algebraic methods; Gröbner bases; nonlinear time-delay systems; neutral systems; input-output representation; linear algebraic methods; Gröbner bases
UR - http://eudml.org/doc/261989
ER -

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