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Bibliografie

Journal Article

On the Lipschitz behavior of solution maps of a class of differential inclusions

Adam Lukáš

: Set-Valued and Variational Analysis vol.23, 3 (2015), p. 559-575

: GAP201/12/0671, GA ČR

: Differential inclusions, Lipschitzian continuity, Stability, Variational analysis, Electrical circuits

: 10.1007/s11228-015-0323-x

: http://library.utia.cas.cz/separaty/2016/MTR/adam-0453288.pdf

(eng): We consider a general differential inclusion which is parameterized by a parameter. We perform time discretization and present conditions under which the discretized solution map is locally Lipschitz. Further, if the Lipschitzian modulus is bounded in some sense, we show that it is possible to obtain the local Lipschitzian property even for the original (not discretized) solution map. We conclude the paper with an example concerning stability analysis of nonregular electrical circuits with ideal diodes.

: BA