Generic asymptotic error estimates for the numerical simulation of hybrid systems (Q924097)
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scientific article; zbMATH DE number 5587046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generic asymptotic error estimates for the numerical simulation of hybrid systems |
scientific article; zbMATH DE number 5587046 |
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Generic asymptotic error estimates for the numerical simulation of hybrid systems (English)
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27 July 2009
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The author studies the numerical solution of the initial value problem for impulsive or hysteretic hybrid systems using the concept of differential automaton introduced by the author [Nonlinear Anal., Theory Methods Appl. 11, 665--683 (1987; Zbl 0666.34005)]. Asymptotic error estimates are shown for approximate trajectories that are computed based on a specific stepsize selection and simulator reinitialization. The convergence of the method is shown with respect to a metric for cadlag functions which induces the Skorohod \(J_1\) topology. Finally, some numerical examples are given.
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differential automaton
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Skorohod topology
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initial value problem
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hysteretic hybrid systems
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asymptotic error estimates
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specific stepsize selection
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convergence
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numerical examples
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0.7101829051971436
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0.6875669360160828
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0.6871664524078369
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