✦ LIBER ✦

Exponential stability of nonlinear differential equations in the presence of perturbations or delays

✍ Scribed by G. Grammel; I. Maizurna

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 170 KB
Volume: 12
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2005.11.009

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✦ Synopsis

The exponential stability of nonlinear nonautonomous nonsmooth differential equations in finite dimensional linear spaces is investigated. It turns out that exponential stability is preserved under sufficiently small perturbations or delays. Explicit estimates for the relation between the exponential decay rates and the size of the perturbation or delay are presented. The results are valid for differential equations given by Lipschitz continuous vector fields.

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