Electron. J. Diff. Equ., Vol. 2010(2010), No. 152, pp. 1-16.

Stability properties of differential systems under constantly acting perturbations

Giancarlo Cantarelli, Giuseppe Zappala

Abstract:
In this article, we find stability criteria for perturbed differential systems, in terms of two measures. Our main tool is a definition of total stability based on two classes of perturbations.

Submitted January 17, 2010. Published October 21, 2010.
Math Subject Classifications: 34D20, 34C25, 34A34.
Key Words: Stability; persistent disturbance; two measures; Liapunov functions.

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Giancarlo Cantarelli
Dipartimento di Matematica dell'Universitá di Parma
Via G.P. Usberti 53/A , 43124 Parma, Italy
email: giancarlo.cantarelli@unipr.it
Giuseppe Zappalá
Dipartimento di Matematica e Informatica dell'Universitá di Catania, Viale Doria 6, 95125 Catania, Italy
email: zappala@dmi.unict.it

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