Digraph Method for Determination of Minimal State Matrix of the Fractional System

TL;DR

This paper introduces a novel digraph-based method for determining the minimal state matrix of fractional systems, providing a systematic procedure supported by a numerical example.

Contribution

It presents a new approach using digraph theory to compute minimal state matrices for fractional systems, which was not previously available.

Findings

Method successfully computes minimal state matrices

Procedure is illustrated with a numerical example

Approach simplifies analysis of fractional systems

Abstract

A new method of determination entries of the state matrices has been presented. The presented method is based on one-dimensional digraph theory. A procedure for computation of the state matrices has also been proposed. The procedure has been illustrated with a numerical example.