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On the Lipschitz behavior of solution maps of a class of differential inclusions
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SYSNO ASEP 0453288 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the Lipschitz behavior of solution maps of a class of differential inclusions Author(s) Adam, Lukáš (UTIA-B) Source Title Set-Valued and Variational Analysis. - : Springer - ISSN 1877-0533
Roč. 23, č. 3 (2015), s. 559-575Number of pages 15 s. Publication form Print - P Language eng - English Country NL - Netherlands Keywords Differential inclusions ; Lipschitzian continuity ; Stability ; Variational analysis ; Electrical circuits Subject RIV BA - General Mathematics R&D Projects GAP201/12/0671 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000359144900010 EID SCOPUS 84958535713 DOI 10.1007/s11228-015-0323-x Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2016
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