# 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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