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Author(s): Benjamin Oyediran Oyelami *
Pp: 112-125 (14)
DOI: 10.2174/9789815313864124010013
* (Excluding Mailing and Handling)
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.
Cite this chapter as:
Stability of Perturbed Systems, Ordinary Differential Equations and Applications II: with Maple Illustrations (2024) 1: 112. https://doi.org/10.2174/9789815313864124010013
DOIhttps://doi.org/10.2174/9789815313864124010013
Publisher NameBentham Science Publisher