<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

Pubblicato online: 04 apr 2018

Pagine: 44 - 48

Ricevuto: 14 giu 2017

Accettato: 06 mar 2018

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

Parole chiave
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

Pubblicato online: 04 apr 2018

Pagine: 44 - 48

Ricevuto: 14 giu 2017

Accettato: 06 mar 2018

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

Parole chiaveFractional, 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.

Parole chiave
Fractional, Linear, System, Invariant, Decoupling, Blocking Zero