Cone-type constrained relative controllability of semilinear fractional systems with delays

Beata Sikora; Jerzy Klamka

Kybernetika (2017)

  • Volume: 53, Issue: 2, page 370-381
  • ISSN: 0023-5954

Abstract

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The paper presents fractional-order semilinear, continuous, finite-dimensional dynamical systems with multiple delays both in controls and nonlinear function f . The constrained relative controllability of the presented semilinear system and corresponding linear one are discussed. New criteria of constrained relative controllability for the fractional semilinear systems with delays under assumptions put on the control values are established and proved. The conical type constraints are considered. The results are illustrated by an example.

How to cite

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Sikora, Beata, and Klamka, Jerzy. "Cone-type constrained relative controllability of semilinear fractional systems with delays." Kybernetika 53.2 (2017): 370-381. <http://eudml.org/doc/288175>.

@article{Sikora2017,
abstract = {The paper presents fractional-order semilinear, continuous, finite-dimensional dynamical systems with multiple delays both in controls and nonlinear function $f$. The constrained relative controllability of the presented semilinear system and corresponding linear one are discussed. New criteria of constrained relative controllability for the fractional semilinear systems with delays under assumptions put on the control values are established and proved. The conical type constraints are considered. The results are illustrated by an example.},
author = {Sikora, Beata, Klamka, Jerzy},
journal = {Kybernetika},
keywords = {the Caputo derivative; semilinear fractional systems; relative controllability; delays in control; constraints},
language = {eng},
number = {2},
pages = {370-381},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Cone-type constrained relative controllability of semilinear fractional systems with delays},
url = {http://eudml.org/doc/288175},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Sikora, Beata
AU - Klamka, Jerzy
TI - Cone-type constrained relative controllability of semilinear fractional systems with delays
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 2
SP - 370
EP - 381
AB - The paper presents fractional-order semilinear, continuous, finite-dimensional dynamical systems with multiple delays both in controls and nonlinear function $f$. The constrained relative controllability of the presented semilinear system and corresponding linear one are discussed. New criteria of constrained relative controllability for the fractional semilinear systems with delays under assumptions put on the control values are established and proved. The conical type constraints are considered. The results are illustrated by an example.
LA - eng
KW - the Caputo derivative; semilinear fractional systems; relative controllability; delays in control; constraints
UR - http://eudml.org/doc/288175
ER -

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