Adaptive reachability algorithms for nonlinear systems using abstraction error analysis

Author:

Wetzlinger MarkORCID,Kulmburg Adrian,Le Penven Alexis,Althoff Matthias

Funder

ERC

European Research Council

Deutsche Forschungsgemeinschaft

Publisher

Elsevier BV

Subject

Computer Science Applications,Analysis,Control and Systems Engineering

Reference69 articles.

1. Reachability analysis for solvable dynamical systems;Gan;IEEE Trans. Automat. Control,2018

2. Computing semi-algebraic invariants for polynomial dynamical systems;Liu,2011

3. Characterizing algebraic invariants by differential radical invariants;Ghorbal,2014

4. Complete algorithms for algebraic strongest postconditions and weakest preconditions in polynomial ODEs;Boreale;Sci. Comput. Programm.,2020

5. A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games;Mitchell;IEEE Trans. Automat. Control,2005

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1. Scalable Computation of Robust Control Invariant Sets of Nonlinear Systems;IEEE Transactions on Automatic Control;2024-02

2. Successor Sets of Discrete-time Nonlinear Systems Using Hybrid Zonotopes;2023 American Control Conference (ACC);2023-05-31

3. Fully-Automated Verification of Linear Systems Using Reachability Analysis with Support Functions;Proceedings of the 26th ACM International Conference on Hybrid Systems: Computation and Control;2023-05-09

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