| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Fed Inst Educ Sci & Technol Bahia, Dept Educ, BR-45822000 Eunapolis - Brazil
[2] Univ Sao Paulo, Escola Engn Sao Carlos, BR-13566590 Sao Carlos - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 22, n. 1 JAN 2012. |
| Web of Science Citations: | 3 |
| Abstract | |
A complete characterization of the stability boundary of a class of nonlinear dynamical systems that admit energy functions is developed in this paper. This characterization generalizes the existing results by allowing the type-zero saddle-node nonhyperbolic equilibrium points on the stability boundary. Conceptual algorithms to obtain optimal estimates of the stability region (basin of attraction) in the form of level sets of a given family of energy functions are derived. The behavior of the stability region and the corresponding estimates are investigated for parameter variation in the neighborhood of a type-zero saddle-node bifurcation value. (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 |