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• W2022057346 abstract "In this paper, we present a method for computing a basin of attraction to a target region for non-linear ordinary differential equations. This basin of attraction is ensured by a Lyapunov-like polynomial function that we compute using an interval based branch-and-relax algorithm. This algorithm relaxes the necessary conditions on the coefficients of the Lyapunov-like function to a system of linear interval inequalities that can then be solved exactly, and iteratively reduces the relaxation error by recursively decomposing the state space into hyper-rectangles. Tests on an implementation are promising." @default.
• W2022057346 created "2016-06-24" @default.
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• W2022057346 date "2006-08-01" @default.
• W2022057346 modified "2023-09-27" @default.
• W2022057346 title "Providing a Basin of Attraction to a Target Region by Computation of Lyapunov-like Functions" @default.
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• W2022057346 doi "https://doi.org/10.1109/icccyb.2006.305705" @default.
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