Ordinary Differential Equations and Applications II: with Maple Illustrations

Stability of Perturbed Systems

Author(s): Benjamin Oyediran Oyelami *

Pp: 112-125 (14)

DOI: 10.2174/9789815313864124010013

* (Excluding Mailing and Handling)

Abstract

The stability property is investigated for perturbed linear autonomous and non-linear systems using linearization and Lyapunov’s methods. Some examples are given on the stability of some nonlinear systems through eigenvalues of the linearized systems and coupled with the estimation of the norm of the error of approximation


Keywords: Eigenvalues, Linearization, Lyapunov’s method, Nonlinear systems, Non-linear systems, Perturbed linear autonomous, Stability properties.