0453288 20240103211521.920160215235959.9 000359144900010 84958535713 10.1007/s11228-015-0323-x 15 s. P cav_un_epca*03439671877-0533233 (2015)559-575Springer Differential inclusions Lipschitzian continuity Stability Variational analysis Electrical circuits cav_un_auth*0309054 Adam Lukáš Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/adam-0453288.pdf GAP201/12/0671 GA ČR CZ cav_un_auth*0289475 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. 2016 BA RVO:67985556 http://hdl.handle.net/11104/0257069 S MATHEMATICS.APPLIED 1.224 0.256 3.8 0.00232 0.951 240 0.981 Q2 0.907 39 Q2 78.069 62 Q1 Q2 62.008 2015 84958535713 SCOPUS 000359144900010 WOS cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 23 č. 3 2015 559 575 Springer