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Discrete Approximation of Impulsive Differential Inclusions
2009
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 T. Donchev, "Approximation of the Solution Set of Impulsive Systems", Lecture Notes in Comput. Sci. 4818 (2008) 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
doi:10.15495/epub_ubt_00005579
fatcat:xcxfjzphnbft3hczefkgmrxete