On the Constrained Controllability of Dynamical Systems With Multiple Delays in the State
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 4, pp. 469-479
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Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllability with constrained controls for dynamical systems with delays in the state are established. Various types of constraints are considered. Numerical examples illustrate the theoretical analysis. An example of a real technical dynamical system is given to indicate one of possible practical applications of the theoretical results.
Keywords:
delay systems, constrained controllability, control, constraints, asymptotic stability
Mots-clés : matematyka
Mots-clés : matematyka
@article{IJAMCS_2003_13_4_a2,
author = {Sikora, B.},
title = {On the {Constrained} {Controllability} of {Dynamical} {Systems} {With} {Multiple} {Delays} in the {State}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {469--479},
year = {2003},
volume = {13},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_4_a2/}
}
TY - JOUR AU - Sikora, B. TI - On the Constrained Controllability of Dynamical Systems With Multiple Delays in the State JO - International Journal of Applied Mathematics and Computer Science PY - 2003 SP - 469 EP - 479 VL - 13 IS - 4 UR - http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_4_a2/ LA - en ID - IJAMCS_2003_13_4_a2 ER -
%0 Journal Article %A Sikora, B. %T On the Constrained Controllability of Dynamical Systems With Multiple Delays in the State %J International Journal of Applied Mathematics and Computer Science %D 2003 %P 469-479 %V 13 %N 4 %U http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_4_a2/ %G en %F IJAMCS_2003_13_4_a2
Sikora, B. On the Constrained Controllability of Dynamical Systems With Multiple Delays in the State. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 4, pp. 469-479. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_4_a2/