Invariance Envelopes and Invariance Kernels for Lipschitzean Differential Inclusions

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3547 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3547 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3547 archive 351 disk0/00/00/35/26 2016-01-15 02:01:10 2021-08-27 17:14:01 2016-01-15 02:01:10 monograph show 2 Quincampoix M. AL1125 Invariance Envelopes and Invariance Kernels for Lipschitzean Differential Inclusions pub iis_met prog_sds The author investigates a differential inclusion whose solutions have to remain in a given closed set. The invariance kernel is the set of the initial conditions starting at which, all solutions to the differential inclusion remain in this closed set. The invariance envelope is the smallest set which contains the given closed set and which is invariant for the differential inclusion. In this paper, the author studies invariance envelopes and he compares this envelope to invariance kernels. He provides an algorithm which determines the invariance kernel and consequently the invariance envelope. 1991-10 published WP-91-039 WP-91-039 10 2311 public working_paper IIASA, Laxenburg, Austria 28 FALSE info:eu-repo/semantics/book