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A sufficient condition for the uniform exponential stability of time-varying systems with noise

✍ Scribed by G. Grammel; I. Maizurna

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
202 KB
Volume
56
Category
Article
ISSN
0362-546X

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✦ Synopsis

The averaging method for nonlinear di erential equations with a fast time variable is extended to systems with deterministic bounded noise. The averaged system is used to present a su cient condition for the uniform exponential stability of the original system. The method of proof is based on a direct computation of the distance of trajectories of the averaged system to trajectories of the original system and manages without smoothness assumptions on the averaged system.

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