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Bracketing the solutions of an ordinary differential equation with uncertain initial conditions
Abstract : In this paper, we present a new method for bracketing (i.e., characterizing from inside and from outside) all solutions of an ordinary differential equation in the case where the initial time is inside an interval and the initial state is inside a box. The principle of the approach is to cast the problem into bracketing the largest positive invariant set which is included inside a given set X. Although there exists an efficient algorithm to solve this problem when X is bounded, we need to adapt it to deal with cases where X is unbounded.
Littérature citée [23 références]
https://hal.archives-ouvertes.fr/hal-01574711
Contributeur : Thomas Le Mézo <>
Soumis le : mercredi 16 août 2017 - 11:58:44
Dernière modification le : mercredi 5 août 2020 - 03:42:58
Contributeur : Thomas Le Mézo <>
Soumis le : mercredi 16 août 2017 - 11:58:44
Dernière modification le : mercredi 5 août 2020 - 03:42:58
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