Viability Tubes and the Target Problem

Aubin J-P (1987). Viability Tubes and the Target Problem. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-87-090


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Viability tubes and invariant tubes of a differential inclusion are defined and then used to build "bridges" between an initial set K and a "target" C that at least one trajectory (respectively all trajectories) follows for leaving K and reaching C in finite or infinite horizon. (This is the target or K-C problem). We study some asymptotic properties of these tubes (it is shown in particular that targets are necessarily viability domains) and viability tubes are characterized by showing that the indicator functions of their graphs are solutions to the "contingent Hamilton-Jacobi equation". Some examples of viability tubes are provided.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:57
Last Modified: 14 Mar 2018 08:16

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