<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

Published Online: Apr 04, 2018

Page range: 44 - 48

Received: Jun 14, 2017

Accepted: Mar 06, 2018

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

Keywords
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

Published Online: Apr 04, 2018

Page range: 44 - 48

Received: Jun 14, 2017

Accepted: Mar 06, 2018

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

KeywordsFractional, 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.

Keywords
Fractional, Linear, System, Invariant, Decoupling, Blocking Zero