On equivalence of exponential and asymptotic stability under changes of variables

Titelangaben

Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian:
On equivalence of exponential and asymptotic stability under changes of variables.
Bayreuth , 2000

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Abstract

We show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.