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• W3186178638 abstract "This article presents a new method for accurately enclosing the reachable sets of nonlinear discrete-time systems with unknown but bounded disturbances. This method is motivated by the discrete-time differential inequalities method (DTDI) proposed by Yang and Scott, which exhibits state-of-the-art accuracy at low cost for many problems, but suffers from theoretical limitations that significantly restrict its applicability. The proposed method uses an efficient one-dimensional partitioning scheme to approximate DTDI while avoiding the key technical assumptions that limit it. Numerical result shows that this approach matches the accuracy of DTDI when DTDI is applicable, but, unlike DTDI, is valid for arbitrary systems." @default.
• W3186178638 created "2021-08-02" @default.
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• W3186178638 date "2021-05-25" @default.
• W3186178638 modified "2023-09-23" @default.
• W3186178638 title "Improved Interval Reachability Bounds for Nonlinear Discrete-Time Systems using an Efficient One-Dimensional Partitioning Method" @default.
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• W3186178638 doi "https://doi.org/10.23919/acc50511.2021.9483003" @default.
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