<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

On the controllability of fractional dynamical systems

Department of Mathematics Bharathiar University, Coimbatore 641 046, India

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On the controllability of fractional dynamical systems"}

This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for...

On the controllability of fractional dynamical systems

Publié en ligne: 28 sept. 2012

Pages: 523 - 531

DOI: https://doi.org/10.2478/v10006-012-0039-0

Mots clés
controllability, fractional differential equations, Mittag-Leffler function

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On the controllability of fractional dynamical systems

Publié en ligne: 28 sept. 2012

Pages: 523 - 531

DOI: https://doi.org/10.2478/v10006-012-0039-0

Mots cléscontrollability, fractional differential equations, Mittag-Leffler function

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
controllability, fractional differential equations, Mittag-Leffler function