On the controllability of fractional dynamical systems
Krishnan Balachandran; Jayakumar Kokila
International Journal of Applied Mathematics and Computer Science (2012)
- Volume: 22, Issue: 3, page 523-531
- ISSN: 1641-876X
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topKrishnan Balachandran, and Jayakumar Kokila. "On the controllability of fractional dynamical systems." International Journal of Applied Mathematics and Computer Science 22.3 (2012): 523-531. <http://eudml.org/doc/244055>.
@article{KrishnanBalachandran2012,
abstract = {This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.},
author = {Krishnan Balachandran, Jayakumar Kokila},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {controllability; fractional differential equations; Mittag-Leffler function},
language = {eng},
number = {3},
pages = {523-531},
title = {On the controllability of fractional dynamical systems},
url = {http://eudml.org/doc/244055},
volume = {22},
year = {2012},
}
TY - JOUR
AU - Krishnan Balachandran
AU - Jayakumar Kokila
TI - On the controllability of fractional dynamical systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2012
VL - 22
IS - 3
SP - 523
EP - 531
AB - This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.
LA - eng
KW - controllability; fractional differential equations; Mittag-Leffler function
UR - http://eudml.org/doc/244055
ER -
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Citations in EuDML Documents
top- Beata Sikora, Controllability criteria for time-delay fractional systems with a retarded state
- Beata Sikora, On application of Rothe's fixed point theorem to study the controllability of fractional semilinear systems with delays
- Krzysztof Oprzędkiewicz, Edyta Gawin, Wojciech Mitkowski, Modeling heat distribution with the use of a non-integer order, state space model
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