Approximations to Differential Inclusions by Discrete Inclusions

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3383 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3383 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3383 archive 351 disk0/00/00/33/27 2016-01-15 02:00:05 2021-08-27 17:13:40 2016-01-15 02:00:05 monograph show 2 Veliov V.M. AL1337 Approximations to Differential Inclusions by Discrete Inclusions pub iis_met prog_mda This report is devoted to second order discrete approximations to differential inclusions. The approximations are of the form of discrete inclusions with right-hand sides, which are explicitly described for some classes of differential inclusions. In the cases of linear differential inclusions or of differential inclusions with strongly convex right-hand sides, the approximating discrete inclusions are analogs of certain second order Runge-Kutta schemes. The approach can serve as a tool for numerical treatment of uncertain dynamical system and optimal control problems. 1989-01 published WP-89-017 WP-89-017 10 2479 public working_paper IIASA, Laxenburg, Austria 36 FALSE info:eu-repo/semantics/book