Study of Solutions to Differential Inclusions by the "Pipe Method"

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2473 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2473 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2473 archive 351 disk0/00/00/24/38 2016-01-15 01:54:37 2021-08-27 17:11:44 2016-01-15 01:54:37 monograph show 2 Aubin J.-P. 7347 Study of Solutions to Differential Inclusions by the "Pipe Method" pub iis_met prog_sds A pipe of a differential inclusion is a set-valued map associating with each time t a subset P(t) of states which contains a trajectory of the differential inclusion for any initial state x_o belonging to P(O). As in the Liapunov method, knowledge of a pipe provides information on the behavior of the trajectory. In this paper, the characterization of pipes and non-smooth analysis of set-valued maps are used to describe several classes of pipes. This research was conducted within the framework of the Dynamics of Macrosystems study in the System and Decision Sciences Program. 1984-10 published WP-84-080 WP-84-080 1134 public working_paper IIASA, Laxenburg, Austria 28 FALSE info:eu-repo/semantics/book