RESEARCH PAPER
Invariant, Decoupling and Blocking Zeros of Fractional Linear Systems
1
Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 , Białystok, Poland
Submission date: 2017-06-14
Acceptance date: 2018-03-06
Online publication date: 2018-04-04
Publication date: 2018-03-01
Acta Mechanica et Automatica 2018;12(1):44-48
KEYWORDS
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.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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