On the Stability Analysis of MDGKN Systems with Control Parameters
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 5
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.
Authors and Affiliations
Ubong D. Akpan, Moses O. Oyesanya
Keywords
Related Articles
- EP ID EP322447
- DOI 10.9734/JAMCS/2017/35326
- Views 76
- Downloads 0
Modeling and Simulation of the Population Dynamics of Biomphalaria tenagophila, Snails in Tres Palmeras, Salta, Argentina
Aims/ objectives: We have analyzed the parasitic infections, and the population dynamics of Biomphalaria tenagophila snails. The population under study lives in water bodies formed by tributaries of the river Arias in th...
Asymptotics of Solution of a Boundary Value Problem for Quasilinear Non-Classical Type Di erential Equation of Arbitrary Odd Order
In a rectangle domain, a boundary value problem is considered for a singularly perturbed quasilinear non-classical type equation of arbitrary odd order, degenerating into a hyperbolic equation. Asymptotic expansion of th...
The Impulse Interactive Cuts of Entropy Functional Measure on Trajectories of Markov Diffusion Process, Integrating in Information Path Functional, Encoding and Applications
The introduced entropy integral measure on random trajectories (EF) is defined by the process additive functional with functions drift and diffusion reducing this functional on trajectories to a regular integral function...
Viscosity Approximation Methods in Reexive Banach Spaces
In this paper, we study viscosity approximation methods in reexive Banach spaces. Let X be a re exive Banach space which admits a weakly sequentially continuous duality mapping j : X ! X, C a nonempty closed convex subs...
Oscillating Solutions of the Lane-Emden Equation for Polytropic Indices m = 0 and 1
With new approach, trigonometric solutions of the well-known Lane-Emden equation for m = 0; 1 are derived. To the best of author's knowledge these trigonometric solutions oscillating are not reported in the existing lite...