## The stabilization of a class of singularly perturbed linear time-varying systems is considered through the separate stabihzation of two lower dimensional subsystems in two different time-scales. A composite stabilizing controller is synthesized from the separate stabilizing controllers of the t
Uniform asymptotic stability of linear time-varying singularly perturbed systems
โ Scribed by S.H. Javid
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 526 KB
- Volume
- 305
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
An upper bound for the singular perturbation parameter is found for the uniform asymptotic stability of singularly perturbed linear time-varying systems.
๐ SIMILAR VOLUMES
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
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.
The stabilization problem for singularly perturbed, large-scale interconnected, discrete-time systems is considered. A simple extension of the small gain theorem is applied to find suficient conditions which ensure the overall system stability in the presence of interconnected,f&t perturbations.