Stability of high dimensional nonlinear systems using Krasovskii's theorem
โ Scribed by Albert J. Berger; Leon Lapidus
- Publisher
- American Institute of Chemical Engineers
- Year
- 1969
- Tongue
- English
- Weight
- 716 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0001-1541
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In Part I of this paper, Popov's Theorem PI is ~rst introduced and then a new Theorem I is formulated. The proof is given in Appendix I. An illustrative example shows that the result obtained from Theorem I agrees with that obtained from Lur'e's Theorem. In Part II the linear part transfer function
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 paper presents a method of assessing the stability of high dimensional vibrating systems under state feedback control with a short time delay. It is first proved that if the time delay is sufficiently short, an n-degree-of-freedom system with feedback delay maintains 2n eigenvalues near those of