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• W4375851942 abstract "In real world applications, uncertain parameters are the rule rather than the exception. We present a reachability algorithm for linear systems with uncertain parameters and inputs using set propagation of polynomial zonotopes. In contrast to previous methods, our approach is able to tightly capture the non-convexity of the reachable set. Building up on our main result, we show how our reachability algorithm can be extended to handle linear time-varying systems as well as linear systems with time-varying parameters. Moreover, our approach opens up new possibilities for reachability analysis of linear time-invariant systems, nonlinear systems, and hybrid systems. We compare our approach to other state of the art methods, with superior tightness on two benchmarks including a 9-dimensional vehicle platooning system." @default.
• W4375851942 created "2023-05-10" @default.
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• W4375851942 date "2023-05-09" @default.
• W4375851942 modified "2023-09-24" @default.
• W4375851942 title "Reachability Analysis for Linear Systems with Uncertain Parameters using Polynomial Zonotopes" @default.
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• W4375851942 doi "https://doi.org/10.1145/3575870.3587130" @default.
• W4375851942 hasPublicationYear "2023" @default.
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