Stability region of nonlinear dynamical systems and applications
Direct Methods for Stability Analysis of Electrical Power Systems
Control of dynamical uncertain systems: nonlinearities, time-varying parameters an...
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Escola Engn Sao Carlos, Dept Elect Engn, BR-13566590 Sao Carlos, SP - Brazil
[2] Cornell Univ, Sch Elect & Comp Engn, Ithaca, NY 14853 - USA
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | IEEE Transactions on Automatic Control; v. 57, n. 6, p. 1564-1569, JUN 2012. |
| Web of Science Citations: | 12 |
| Abstract | |
The existing characterization of stability regions was developed under the assumption that limit sets on the stability boundary are exclusively composed of hyperbolic equilibrium points and closed orbits. The characterizations derived in this technical note are a generalization of existing results in the theory of stability regions. A characterization of the stability boundary of general autonomous nonlinear dynamical systems is developed under the assumption that limit sets on the stability boundary are composed of a countable number of disjoint and indecomposable components, which can be equilibrium points, closed orbits, quasi-periodic solutions and even chaotic invariant sets. (AU) | |
| FAPESP's process: | 11/06938-5 - Stability region of nonlinear dynamical systems and stability analysis of electrical power systems |
| Grantee: | Luís Fernando Costa Alberto |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 10/00574-9 - Stability region of nonlinear dynamical systems and applications |
| Grantee: | Rodrigo Andrade Ramos |
| Support Opportunities: | Regular Research Grants |