<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A minimum energy control problem for fractional positive continuous-time linear systems with bounded inputs is formulated and solved. Sufﬁcient conditions for the existence of a solution to the problem are established. A procedure for solving the problem is proposed and illustrated with a numerical example.</p></abstract>

A minimum energy control problem for fractional positive continuous-time linear systems with bounded inputs is formulated and solved. Sufﬁcient conditions for the existence of a solution to the problem are established. A procedure for solving the problem is proposed and illustrated with a numerical example.

Minimum energy control of fractional positive continuous-time linear systems with bounded inputs

Faculty of Electrical Engineering Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A minimum energy control problem for fractional positive continuous-time linear systems with bounded inputs is formulated and solved. Sufﬁcient conditions for...

Minimum energy control of fractional positive continuous-time linear systems with bounded inputs

Published Online: Jun 26, 2014

Page range: 335 - 340

Received: Aug 24, 2013

DOI: https://doi.org/10.2478/amcs-2014-0025

Keywords
fractional systems, positive systems, minimum energy control, bounded inputs

© 2014 Tadeusz Kaczorek

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Minimum energy control of fractional positive continuous-time linear systems with bounded inputs

Published Online: Jun 26, 2014

Page range: 335 - 340

Received: Aug 24, 2013

DOI: https://doi.org/10.2478/amcs-2014-0025

Keywordsfractional systems, positive systems, minimum energy control, bounded inputs

© 2014 Tadeusz Kaczorek

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
fractional systems, positive systems, minimum energy control, bounded inputs