Positivity and stabilization of 2D linear systems

Tadeusz Kaczorek

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2009)

  • Volume: 29, Issue: 1, page 43-52
  • ISSN: 1509-9407

Abstract

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The problem of finding a gain matrix of the state-feedback of 2D linear system such that the closed-loop system is positive and asymptotically stable is formulated and solved. Necessary and sufficient conditions for the solvability of the problem are established. It is shown that the problem can be reduced to suitable linear programming problem. The proposed approach can be extended to 2D linear system described by the 2D Roesser model.

How to cite

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Tadeusz Kaczorek. "Positivity and stabilization of 2D linear systems." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 29.1 (2009): 43-52. <http://eudml.org/doc/271147>.

@article{TadeuszKaczorek2009,
abstract = {The problem of finding a gain matrix of the state-feedback of 2D linear system such that the closed-loop system is positive and asymptotically stable is formulated and solved. Necessary and sufficient conditions for the solvability of the problem are established. It is shown that the problem can be reduced to suitable linear programming problem. The proposed approach can be extended to 2D linear system described by the 2D Roesser model.},
author = {Tadeusz Kaczorek},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {linear 2D systems; general model; positivity; stabilization; state-feedback},
language = {eng},
number = {1},
pages = {43-52},
title = {Positivity and stabilization of 2D linear systems},
url = {http://eudml.org/doc/271147},
volume = {29},
year = {2009},
}

TY - JOUR
AU - Tadeusz Kaczorek
TI - Positivity and stabilization of 2D linear systems
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2009
VL - 29
IS - 1
SP - 43
EP - 52
AB - The problem of finding a gain matrix of the state-feedback of 2D linear system such that the closed-loop system is positive and asymptotically stable is formulated and solved. Necessary and sufficient conditions for the solvability of the problem are established. It is shown that the problem can be reduced to suitable linear programming problem. The proposed approach can be extended to 2D linear system described by the 2D Roesser model.
LA - eng
KW - linear 2D systems; general model; positivity; stabilization; state-feedback
UR - http://eudml.org/doc/271147
ER -

References

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