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Article Dans Une Revue Reliable Computing electronic edition Année : 2016

A Parallelotope Method for Hybrid System Simulation

Résumé

Enclosure methods based on interval analysis construct state enclosures of dynamical systems. Parallelotope state enclosures are well known and widely used in the context of discrete-time dynamical systems and continuous-time ODE-driven dynamical systems. They drastically reduce the wrapping effect in the case of small initial conditions (small enough so that linearizations are accurate). We propose and experimentally evaluate a new parallelotope method for hybrid systems. Our method provides much sharper enclosures than the current methods for small initial conditions , it allows a correct timing associated with state enclosures to be maintained, and it computes space derivatives along the trajectory.
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Dates et versions

hal-02938568 , version 1 (17-09-2020)

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  • HAL Id : hal-02938568 , version 1

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Alexandre Goldsztejn, Daisuke Ishii. A Parallelotope Method for Hybrid System Simulation. Reliable Computing electronic edition, 2016, Volume 23 (Special issue in honor of Ray Moore, 1929-2015), 23, pp.163-185. ⟨hal-02938568⟩
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