The notions of stability introduced in Definition 2.21 have so far mainly been applied to linear systems. As we analyze nonlinear systems in the present chapter, asymptotic stability will turn out to be robust. An equilibrium is asymptotically stable if the linearization of the vector field at this point is asymptotically stable (Theorem 7.6).
CITATION STYLE
Knauf, A. (2018). Stability Theory. In UNITEXT - La Matematica per il 3 piu 2 (Vol. 109, pp. 137–153). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-662-55774-7_7
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