Fractional positive continuous-time linear systems and their reachability

Tadeusz Kaczorek

International Journal of Applied Mathematics and Computer Science (2008)

  • Volume: 18, Issue: 2, page 223-228
  • ISSN: 1641-876X

Abstract

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A new class of fractional linear continuous-time linear systems described by state equations is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of fractional systems. Sufficient conditions are given for the reachability of fractional positive systems.

How to cite

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Tadeusz Kaczorek. "Fractional positive continuous-time linear systems and their reachability." International Journal of Applied Mathematics and Computer Science 18.2 (2008): 223-228. <http://eudml.org/doc/207879>.

@article{TadeuszKaczorek2008,
abstract = {A new class of fractional linear continuous-time linear systems described by state equations is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of fractional systems. Sufficient conditions are given for the reachability of fractional positive systems.},
author = {Tadeusz Kaczorek},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {fractional systems; positive systems; reachability},
language = {eng},
number = {2},
pages = {223-228},
title = {Fractional positive continuous-time linear systems and their reachability},
url = {http://eudml.org/doc/207879},
volume = {18},
year = {2008},
}

TY - JOUR
AU - Tadeusz Kaczorek
TI - Fractional positive continuous-time linear systems and their reachability
JO - International Journal of Applied Mathematics and Computer Science
PY - 2008
VL - 18
IS - 2
SP - 223
EP - 228
AB - A new class of fractional linear continuous-time linear systems described by state equations is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of fractional systems. Sufficient conditions are given for the reachability of fractional positive systems.
LA - eng
KW - fractional systems; positive systems; reachability
UR - http://eudml.org/doc/207879
ER -

References

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Citations in EuDML Documents

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  1. Bartosz Bandrowski, Anna Karczewska, Piotr Rozmej, Numerical solutions to integral equations equivalent to differential equations with fractional time
  2. Mikołaj Busłowicz, Tadeusz Kaczorek, Simple conditions for practical stability of positive fractional discrete-time linear systems
  3. Tadeusz Kaczorek, Reachability of cone fractional continuous-time linear systems
  4. Tadeusz Kaczorek, Descriptor fractional linear systems with regular pencils
  5. Tadeusz Kaczorek, Singular fractional linear systems and electrical circuits
  6. Tadeusz Kaczorek, Reduced-order fractional descriptor observers for a class of fractional descriptor continuous-time nonlinear systems

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