On constrained controllability of dynamical systems with multiple delays in control

Beata Sikora

Applicationes Mathematicae (2005)

  • Volume: 32, Issue: 1, page 87-101
  • ISSN: 1233-7234

Abstract

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Linear, continuous dynamical systems with multiple delays in control are studied. Their relative and absolute controllability with constrained control is discussed. Definitions of various types of constrained relative and absolute controllability for linear systems with delays in control are introduced. Criteria of relative and absolute controllability with constrained control are established. Constraints on control values are considered. Mutual implications between constrained relative controllability of systems with and without delays are studied as well as implications between constrained relative and absolute controllability of systems with delay in control. The results are illustrated by examples.

How to cite

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Beata Sikora. "On constrained controllability of dynamical systems with multiple delays in control." Applicationes Mathematicae 32.1 (2005): 87-101. <http://eudml.org/doc/279615>.

@article{BeataSikora2005,
abstract = {Linear, continuous dynamical systems with multiple delays in control are studied. Their relative and absolute controllability with constrained control is discussed. Definitions of various types of constrained relative and absolute controllability for linear systems with delays in control are introduced. Criteria of relative and absolute controllability with constrained control are established. Constraints on control values are considered. Mutual implications between constrained relative controllability of systems with and without delays are studied as well as implications between constrained relative and absolute controllability of systems with delay in control. The results are illustrated by examples.},
author = {Beata Sikora},
journal = {Applicationes Mathematicae},
keywords = {delay systems; constrained controllability; control; constraints; supporting function},
language = {eng},
number = {1},
pages = {87-101},
title = {On constrained controllability of dynamical systems with multiple delays in control},
url = {http://eudml.org/doc/279615},
volume = {32},
year = {2005},
}

TY - JOUR
AU - Beata Sikora
TI - On constrained controllability of dynamical systems with multiple delays in control
JO - Applicationes Mathematicae
PY - 2005
VL - 32
IS - 1
SP - 87
EP - 101
AB - Linear, continuous dynamical systems with multiple delays in control are studied. Their relative and absolute controllability with constrained control is discussed. Definitions of various types of constrained relative and absolute controllability for linear systems with delays in control are introduced. Criteria of relative and absolute controllability with constrained control are established. Constraints on control values are considered. Mutual implications between constrained relative controllability of systems with and without delays are studied as well as implications between constrained relative and absolute controllability of systems with delay in control. The results are illustrated by examples.
LA - eng
KW - delay systems; constrained controllability; control; constraints; supporting function
UR - http://eudml.org/doc/279615
ER -

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