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- W2612927050 abstract "Consider a general system of autonomous ordinary differential equations and a given asymptotically stable, hyperbolic equilibrium. We present a method to construct an explicit Lyapunov function for this equilibrium with which we can determine a positively invariant subset of its domain of attraction. We first prove the existence of three Lyapunov functions with certain orbital derivatives. Then we approximate them by using radial basis function methods. We prove that, using a sufficiently fine grid, we thus obtain a function with negative orbital derivative." @default.
- W2612927050 created "2017-05-19" @default.
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- W2612927050 date "2004-09-01" @default.
- W2612927050 modified "2023-09-25" @default.
- W2612927050 title "Approximation of domains of attraction and lyapunov functions using radial basis functions" @default.
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- W2612927050 doi "https://doi.org/10.1016/s1474-6670(17)31306-x" @default.
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