On the Stability Analysis of MDGKN Systems with Control Parameters
Ubong D. Akpan *
Department of Mathematics and Statistics, Akwa Ibom State University, Mkpat Enin, Nigeria.
Moses O. Oyesanya
Department of Mathematics, University of Nigeria, Nsukka, Nigeria.
*Author to whom correspondence should be addressed.
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.
Keywords: Linear systems, control parameters, Lyapunov method, stability.