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

International Journal of Applied Mathematics and Computer Science (2016)

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

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topTadeusz 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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