Stability of Perturbed Delay Differential Equations and Stabilization of Nonlinear Cascade Systems
β Scribed by Michiels, W.; Sepulchre, R.; Roose, D.
- Book ID
- 118208140
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2001
- Tongue
- English
- Weight
- 219 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0363-0129
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π SIMILAR VOLUMES
In the present paper, we obtain sufficient conditions for stability of the zero solution of the nonlinear delay differential equation under impulsive perturbations, and show that the stability is caused by impulses, where ~-> 0, f E C([t0, c~) Γ R, R). (~
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 exponentia