Asymptotic stability of nonlinear singularly perturbed systems using higher order corrections
โ Scribed by K. Khorasani; M.A. Pai
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 716 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
The upper bound on the perturbation parameter .for asymptotic stability is improved .for nonlinear singularly perturbed systems. Use o# higher order corrections in the model enables the region of attraction to be computed more accurately.
๐ SIMILAR VOLUMES
An upper bound for the singular perturbation parameter is found for the uniform asymptotic stability of singularly perturbed linear time-varying systems.
A method to eliminate the fast modes in a singularly perturbed system driven by white noise is presented together with error analysis. An approximate model is derived by replacing the transfer functions of the fast elements with their truncated Maclaurin expansions. It is shown that if the slow elem
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