Analysis of Reachable and Positive Electrical Circuits Modelled by differential Algebraic System

Abstract

This research paper undertakes an exploration of novel concepts within the domain of electrical circuits modeled by matrices. The study is centered around circuits encompassing elements such as resistances, coils, and voltage sources, with a specific focus on elucidating aspects of positivity and reachability. A distinctive approach is employed through the introduction of additional inductors, aimed at enhancing the circuit’s functionality. Employing mathematical analysis, this research endeavor advances an extensive comprehension of these circuits, shedding light on their behavior even when subject to specific constraints. As a consequence, this inquiry contributes to the revelation of noteworthy insights about the operational dynamics of circuits.