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.