Singular over-determined systems of linear differential equations

Ioannis Dassios, Georgios Tzounas, Muyang Liu and Federico Milano

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 197, issue C, 396-412

Abstract: We study a class of singular over-determined systems of differential equations and firstly prove that there exist solutions under certain conditions. For the case of existence we provide closed formulas of solutions and based on the spectrum of the pencil of the system we study uniqueness of solutions. Then, we extend these results to higher order singular overdetermined systems. Finally, we use this type of systems to model electrical power systems and provide numerical examples.

Keywords: Singular systems; Non-square matrices; Existence and uniqueness of solutions; Power systems (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:197:y:2022:i:c:p:396-412

DOI: 10.1016/j.matcom.2022.02.003

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