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Fractional Electrical Circuits: A Drazin Inverse Technique

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Title: Fractional Electrical Circuits: A Drazin Inverse Technique

Authors: Muhammad Owais Tariq, Muhammad Irfan Mushtaq, Amir Hamza, Asif Siddiq, Yasir Muhammad

Journal: Mathematical sciences and applications (Online)

HEC Recognition History
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Year: 2023

Volume: 2

Issue: 1

Language: en

DOI: 10.52700/msa.v2i1.11

Keywords: Controllability; observability; Gramian matrix; descriptor fractional system; regular pencil; Drazin inverse.

Categories
Computer Science (14978) Electrical Engineering (5972) Control Systems (1276) Applied Mathematics (727) Systems Theory (27)

Abstract

In this paper, we will discuss the controllability and observability conditions for some fractional electrical circuits, using the controllability and observability of Gramian matrix conditions derived for fractional continuous time linear systems with regular pencil. These results are obtained with the help of the Drazin inverse method.

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