Positivity and stability of fractional descriptor time-varying discrete-time linear systems

Tadeusz Kaczorek

International Journal of Applied Mathematics and Computer Science (2016)

  • Volume: 26, Issue: 1, page 5-13
  • ISSN: 1641-876X

Abstract

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The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor timevarying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.

How to cite

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Tadeusz Kaczorek. "Positivity and stability of fractional descriptor time-varying discrete-time linear systems." International Journal of Applied Mathematics and Computer Science 26.1 (2016): 5-13. <http://eudml.org/doc/276607>.

@article{TadeuszKaczorek2016,
abstract = {The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor timevarying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.},
author = {Tadeusz Kaczorek},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {fractional system; descriptor system; time-varying system; positive system; discrete-time system; Weierstrass-Kronecker theorem; decomposition of the regular pencil},
language = {eng},
number = {1},
pages = {5-13},
title = {Positivity and stability of fractional descriptor time-varying discrete-time linear systems},
url = {http://eudml.org/doc/276607},
volume = {26},
year = {2016},
}

TY - JOUR
AU - Tadeusz Kaczorek
TI - Positivity and stability of fractional descriptor time-varying discrete-time linear systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2016
VL - 26
IS - 1
SP - 5
EP - 13
AB - The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor timevarying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.
LA - eng
KW - fractional system; descriptor system; time-varying system; positive system; discrete-time system; Weierstrass-Kronecker theorem; decomposition of the regular pencil
UR - http://eudml.org/doc/276607
ER -

References

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