A problem of robust control of a system with time delay

Marina Blizorukova; Franz Kappel; Vyacheslav Maksimov

International Journal of Applied Mathematics and Computer Science (2001)

  • Volume: 11, Issue: 4, page 821-834
  • ISSN: 1641-876X

Abstract

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A problem of guaranteed control is under discussion. This problem consists in the attainment of a given target set by a phase trajectory of a system described by an equation with time delay. An uncontrolled disturbance (along with a control) is assumed to act upon the system. An algorithm for solving the problem in the case when information on a phase trajectory is incomplete (measurements of a 'part' of coordinates) is designed. The algorithm is stable with respect to informational noises and computational errors.

How to cite

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Blizorukova, Marina, Kappel, Franz, and Maksimov, Vyacheslav. "A problem of robust control of a system with time delay." International Journal of Applied Mathematics and Computer Science 11.4 (2001): 821-834. <http://eudml.org/doc/207533>.

@article{Blizorukova2001,
abstract = {A problem of guaranteed control is under discussion. This problem consists in the attainment of a given target set by a phase trajectory of a system described by an equation with time delay. An uncontrolled disturbance (along with a control) is assumed to act upon the system. An algorithm for solving the problem in the case when information on a phase trajectory is incomplete (measurements of a 'part' of coordinates) is designed. The algorithm is stable with respect to informational noises and computational errors.},
author = {Blizorukova, Marina, Kappel, Franz, Maksimov, Vyacheslav},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {system with time delay; robust control; reachability},
language = {eng},
number = {4},
pages = {821-834},
title = {A problem of robust control of a system with time delay},
url = {http://eudml.org/doc/207533},
volume = {11},
year = {2001},
}

TY - JOUR
AU - Blizorukova, Marina
AU - Kappel, Franz
AU - Maksimov, Vyacheslav
TI - A problem of robust control of a system with time delay
JO - International Journal of Applied Mathematics and Computer Science
PY - 2001
VL - 11
IS - 4
SP - 821
EP - 834
AB - A problem of guaranteed control is under discussion. This problem consists in the attainment of a given target set by a phase trajectory of a system described by an equation with time delay. An uncontrolled disturbance (along with a control) is assumed to act upon the system. An algorithm for solving the problem in the case when information on a phase trajectory is incomplete (measurements of a 'part' of coordinates) is designed. The algorithm is stable with respect to informational noises and computational errors.
LA - eng
KW - system with time delay; robust control; reachability
UR - http://eudml.org/doc/207533
ER -

References

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  2. Blizorukova M.S. (2000): On the modelling of an input in a system with time delay. - Prikl. Matem. Informatika, No.5, pp.105-115 (in Russian). 
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