A Note on Commensurate-Order Characteristic Root Equivalency Class of Linear Time Invariant Systems

Year 2017, Volume: 5 Issue: 2, 86 - 96, 28.02.2017

Baris Baykanat Alagoz

Abstract

This study investigates characteristic root

equivalency relations between commensurate order and integer

order Linear Time Invariant (LTI) systems. Author introduces

some useful properties of a special class of commensurate order

systems, which is called characteristic root equivalency class of

LTI systems. These properties present potential to facilitate design

and analysis efforts of this class of commensurate order systems.

In this sense, straightforward stability checking procedures and

design approaches for commensurate order root equivalent

systems of the first and second order LTI systems are

demonstrated. Findings of the study are validated by illustrative

examples.

Keywords

Fractional order systems, characteristic root equivalency, stability, design, analysis

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