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On the Lipschitz behavior of solution maps of a class of differential inclusions
- 1.0453288 - ÚTIA 2016 RIV NL eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GAP201/12/0671
Institutional support: RVO:67985556
Keywords : Differential inclusions * Lipschitzian continuity * Stability * Variational analysis * Electrical circuits
Subject RIV: BA - General Mathematics
Impact factor: 0.973, year: 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.
Permanent Link: http://hdl.handle.net/11104/0257069
Number of the records: 1