<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

Online veröffentlicht: 28. Sept. 2012

Seitenbereich: 523 - 531

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

Schlüsselwörter
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

Online veröffentlicht: 28. Sept. 2012

Seitenbereich: 523 - 531

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

Schlüsselwörtercontrollability, fractional differential equations, Mittag-Leffler function

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

Schlüsselwörter
controllability, fractional differential equations, Mittag-Leffler function