<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The notions of invariant, decoupling and blocking zeros are extended to the fractional linear systems. It is shown that: 1) The zeros are closely connected with the controllability and observability of the linear systems and their transfer functions matrices. 2) The state vector of the fractional system for any input and zero initial conditions is independent of the input decoupling zeros of the system. 3) The output of the fractional system for any input and zero initial conditions is independent of the input-output decoupling zeros of the system.</p></abstract>

The notions of invariant, decoupling and blocking zeros are extended to the fractional linear systems. It is shown that: 1) The zeros are closely connected with the controllability and observability of the linear systems and their transfer functions matrices. 2) The state vector of the fractional system for any input and zero initial conditions is independent of the input decoupling zeros of the system. 3) The output of the fractional system for any input and zero initial conditions is independent of the input-output decoupling zeros of the system.

Invariant, Decoupling and Blocking Zeros of Fractional Linear Systems

Acta Mechanica et Automatica

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

{"article-title":"Invariant, Decoupling and Blocking Zeros of Fractional Linear Systems"}

The notions of invariant, decoupling and blocking zeros are extended to the fractional linear systems. It is shown that: 1) The zeros are closely connected...

Invariant, Decoupling and Blocking Zeros of Fractional Linear Systems

Publié en ligne: 04 avr. 2018

Pages: 44 - 48

Reçu: 14 juin 2017

Accepté: 06 mars 2018

DOI: https://doi.org/10.2478/ama-2018-0007

Mots clés
Fractional, Linear, System, Invariant, Decoupling, Blocking Zero

© 2018 Tadeusz Kaczorek, published by De Gruyter Open

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

Invariant, Decoupling and Blocking Zeros of Fractional Linear Systems

Publié en ligne: 04 avr. 2018

Pages: 44 - 48

Reçu: 14 juin 2017

Accepté: 06 mars 2018

DOI: https://doi.org/10.2478/ama-2018-0007

Mots clésFractional, Linear, System, Invariant, Decoupling, Blocking Zero

© 2018 Tadeusz Kaczorek, published by De Gruyter Open

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

Mots clés
Fractional, Linear, System, Invariant, Decoupling, Blocking Zero