On the constrained controllability of dynamical systems with multiple delays in the state

Beata Sikora

International Journal of Applied Mathematics and Computer Science (2003)

  • Volume: 13, Issue: 4, page 469-479
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Sikora, Beata. "On the constrained controllability of dynamical systems with multiple delays in the state." International Journal of Applied Mathematics and Computer Science 13.4 (2003): 469-479. <http://eudml.org/doc/207658>.

@article{Sikora2003,
abstract = {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.},
author = {Sikora, Beata},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {constrained controllability; constraints; asymptotic stability; control; delay systems; controllability; constrained controls; delayed control systems},
language = {eng},
number = {4},
pages = {469-479},
title = {On the constrained controllability of dynamical systems with multiple delays in the state},
url = {http://eudml.org/doc/207658},
volume = {13},
year = {2003},
}

TY - JOUR
AU - Sikora, Beata
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
VL - 13
IS - 4
SP - 469
EP - 479
AB - 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.
LA - eng
KW - constrained controllability; constraints; asymptotic stability; control; delay systems; controllability; constrained controls; delayed control systems
UR - http://eudml.org/doc/207658
ER -

References

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  12. Luyben W.L. (1990): Process Modeling, Simulation and Control for Chemical Engineers. - New York: McGraw-Hill. 
  13. Muszyński J. and Myszkis A.D. (1984): Ordinary Differential Equations. - Warsaw: Polish Scientific Publishers, (in Polish). 
  14. Salamon D. (1982): On control and observation of neutral systems. - Bremen: Dissertation zur Erlangung des Grandes eines Doktors der Naturwissenschaften der Universitat Bremen. Zbl0535.34050
  15. Schmitendorf W. and Barmish B. (1981): Controlling a constrained linear systems to an affine target. - IEEE Trans. Automat. Contr., Vol. AC-26, No. 3, pp. 761-763. Zbl0484.93014
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