On equivalence of exponential and asymptotic stability under changes of variables

L. Grüne, E. Sontag, F. Wirth: On equivalence of exponential and asymptotic stability under changes of variables
in: EQUADIFF 99, Berlin, B. Fiedler, K. Gröger, J. Sprekels (eds.)
World Scientific, Singapore, 2000, 850 - 852

Smart-Link: http://www.worldscientific.com/
Keywords: uniformly global asymptotic stability; exponential stability
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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.

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