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- W3092302016 abstract "Nonlinear dynamical systems exhibiting complex structure in their limit sets, such as chaotic and closed orbits, do not admit energy functions. The theory of generalized energy functions, which may assume positive derivative in some bounded sets, appears as an alternative to study the asymptotic behavior of solutions of these systems. In this article, a generalized energy function and a complete characterization of the stability boundary and stability region are developed for a class of third-order dynamical systems. This class of systems appears in electrical power system models and has a class of quasi-gradient systems and second-order systems as particular cases. These systems may admit complex structure in their limit sets and do not admit an energy function that is general for the class. Numerical examples illustrate how generalized energy functions provide estimates of stability regions." @default.
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- W3092302016 date "2021-07-01" @default.
- W3092302016 modified "2023-10-15" @default.
- W3092302016 title "Generalized Energy Functions for a Class of Third-Order Nonlinear Dynamical Systems" @default.
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- W3092302016 doi "https://doi.org/10.1109/tac.2020.3029316" @default.
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