Minimum energy control of descriptor fractional discrete-time linear systems with two different fractional orders

Łukasz Sajewski

International Journal of Applied Mathematics and Computer Science (2017)

  • Volume: 27, Issue: 1, page 33-41
  • ISSN: 1641-876X

Abstract

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Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass-Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.

How to cite

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Łukasz Sajewski. "Minimum energy control of descriptor fractional discrete-time linear systems with two different fractional orders." International Journal of Applied Mathematics and Computer Science 27.1 (2017): 33-41. <http://eudml.org/doc/288095>.

@article{ŁukaszSajewski2017,
abstract = {Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass-Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.},
author = {Łukasz Sajewski},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {minimum energy control; descriptor system; fractional system; discrete-time linear system},
language = {eng},
number = {1},
pages = {33-41},
title = {Minimum energy control of descriptor fractional discrete-time linear systems with two different fractional orders},
url = {http://eudml.org/doc/288095},
volume = {27},
year = {2017},
}

TY - JOUR
AU - Łukasz Sajewski
TI - Minimum energy control of descriptor fractional discrete-time linear systems with two different fractional orders
JO - International Journal of Applied Mathematics and Computer Science
PY - 2017
VL - 27
IS - 1
SP - 33
EP - 41
AB - Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass-Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.
LA - eng
KW - minimum energy control; descriptor system; fractional system; discrete-time linear system
UR - http://eudml.org/doc/288095
ER -

References

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