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Research Article Open access CC BY 4.0

On the Stability Analysis of MDGKN Systems with Control Parameters

Ubong D. Akpan, Moses O. Oyesanya

Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 18 Dec 2017

10.9734/JAMCS/2017/35326

Abstract

In this work, we study linear systems with Mass, Damping Force, Gyroscopic Force, Stiffness and Circulatory Force (MDGKN systems) with control parameters. The relationship between the parameters determines the stability or otherwise of the system. The Lyapunov direct method is used to analyse MDGKN system. Stability theorem for determining the stability or otherwise of MDGKN is formulated. The results are illustrated on a 2x2 and a 3x3 matrix systems to show the effectiveness of the results obtained.

Linear systems control parameters Lyapunov method stability.

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