Characterization of Stability Region for General Autonomous Nonlinear Dynamical Systems
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
07/11/2013
07/11/2013
2012
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| Resumo |
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. United States Department of Energy, Recovery Act United States Department of Energy, Recovery Act [89-0227] FAPESP - Brazil [2010/00574-9, 2011/06938-5] FAPESP (Brazil) Consortium for Electric Reliability Technology Solutions Consortium for Electric Reliability Technology Solutions U.S. Department of Energy [DE-FC26-09NT43321] US Department of Energy |
| Identificador |
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, PISCATAWAY, v. 57, n. 6, pp. 1564-1569, JUN, 2012 0018-9286 http://www.producao.usp.br/handle/BDPI/43080 10.1109/TAC.2011.2175057 |
| Idioma(s) |
eng |
| Publicador |
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC PISCATAWAY |
| Relação |
IEEE TRANSACTIONS ON AUTOMATIC CONTROL |
| Direitos |
restrictedAccess Copyright IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Palavras-Chave | #CHAOS #CLOSED ORBIT #DOMAIN OF ATTRACTION #ENERGY FUNCTION #NONLINEAR SYSTEMS #STABILITY REGION #POWER-SYSTEMS #LYAPUNOV FUNCTIONS #ATTRACTION #FEEDBACK #DOMAIN #AUTOMATION & CONTROL SYSTEMS #ENGINEERING, ELECTRICAL & ELECTRONIC |
| Tipo |
article original article publishedVersion |
