<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass–Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.</p></abstract>

Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass–Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.

Minimum Energy Control of Descriptor Fractional Discrete–Time Linear Systems with Two Different Fractional Orders

International Journal of Applied Mathematics and Computer Science

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

Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the...

Minimum Energy Control of Descriptor Fractional Discrete–Time Linear Systems with Two Different Fractional Orders

Published Online: May 04, 2017

Page range: 33 - 41

Received: Apr 19, 2016

Accepted: Dec 10, 2016

DOI: https://doi.org/10.1515/amcs-2017-0003

Keywords
minimum energy control, descriptor system, fractional system, discrete-time linear system

© by Łukasz Sajewski

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

Minimum Energy Control of Descriptor Fractional Discrete–Time Linear Systems with Two Different Fractional Orders

Published Online: May 04, 2017

Page range: 33 - 41

Received: Apr 19, 2016

Accepted: Dec 10, 2016

DOI: https://doi.org/10.1515/amcs-2017-0003

Keywordsminimum energy control, descriptor system, fractional system, discrete-time linear system

© by Łukasz Sajewski

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

Keywords
minimum energy control, descriptor system, fractional system, discrete-time linear system