An upper bound for the singular perturbation parameter is found for the uniform asymptotic stability of singularly perturbed linear time-varying systems.
Asymptotic Stability of a Class of Non-linear Singularly Perturbed Systems
โ Scribed by Joe Hong Chow
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 380 KB
- Volume
- 305
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
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 stabilizing feedback control for such systems is also proposed.
๐ SIMILAR VOLUMES
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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.