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

Aubin, J.-P. (1984). Study of Solutions to Differential Inclusions by the "Pipe Method". IIASA Working Paper. IIASA, Laxenburg, Austria: WP-84-080

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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.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:54
Last Modified: 27 Aug 2021 17:11

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