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

0453288 - ÚTIA 2016 RIV NL eng J - Článek v odborném periodiku
Adam, Lukáš
On the Lipschitz behavior of solution maps of a class of differential inclusions.
Set-Valued and Variational Analysis. Roč. 23, č. 3 (2015), s. 559-575. ISSN 1877-0533. E-ISSN 1877-0541
Grant CEP: GA ČR(CZ) GAP201/12/0671
Institucionální podpora: RVO:67985556
Klíčová slova: Differential inclusions * Lipschitzian continuity * Stability * Variational analysis * Electrical circuits
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.973, rok: 2015
http://library.utia.cas.cz/separaty/2016/MTR/adam-0453288.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0257069