Dergiler / Balkan Journal of Electrical and Computer Engineering / 2017 / Cilt: 5 - Sayı: 2

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

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

B. B. ALAGOZ

Sayfa
86–96
DOI
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Abstract

This study investigates characteristic rootequivalency relations between commensurate order and integerorder Linear Time Invariant (LTI) systems. Author introducessome useful properties of a special class of commensurate ordersystems, which is called characteristic root equivalency class ofLTI systems. These properties present potential to facilitate designand analysis efforts of this class of commensurate order systems.In this sense, straightforward stability checking procedures anddesign approaches for commensurate order root equivalentsystems of the first and second order LTI systems aredemonstrated. Findings of the study are validated by illustrativeexamples.