Discrete Approximation of Impulsive Differential Inclusions
نویسندگان
چکیده
منابع مشابه
Discrete Approximation of Impulsive Differential Inclusions
The paper deals with the approximation of the solution set and the reachable sets of an impulsive differential inclusion with variable times of impulses. It is strongly connected to [11] and is its continuation. We achieve order of convergence 1 for the Euler approximation under Lipschitz assumptions on the set-valued right-hand side and on the functions describing the jump surfaces and jumps t...
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In the paper, we study weak invariance of differential inclusions with non-fixed time impulses under compactness type assumptions. When the right-hand side is one sided Lipschitz an extension of the well known relaxation theorem is proved. In this case also necessary and sufficient condition for strong invariance of upper semi continuous systems are obtained. Some properties of the solution set...
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ژورنال
عنوان ژورنال: Numerical Functional Analysis and Optimization
سال: 2010
ISSN: 0163-0563,1532-2467
DOI: 10.1080/01630563.2010.483878