In this paper we study the asymptotic behavior of the stability radius of a singularly perturbed system when the small parameter tends to zero. It is proved that for such systems the stability radius tends to the min(r , r ), where r is the inverse of the H -norm of the reduced slow model and r is t
โฆ LIBER โฆ
The Asymptotic Behavior of the Eigenvalues of a Singularly Perturbed Linear Pencil
โ Scribed by Najman, Branko
- Book ID
- 118216168
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1998
- Tongue
- English
- Weight
- 259 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-4798
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## Sufficient conditions are obtained lo guarantee the asymptotic stability of a class of non-linear singularly perturbed systems. A procedure for consrructing a Lyapunov function for such a class of systems is given, and a clearly defined domain of attraction of the equilibrium is obtained. A sta