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German
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.