Hazy Differential Inclusions

Aubin, J.-P. (1988). Hazy Differential Inclusions. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-88-082

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This paper is devoted to differential inclusions the right-hand sides of which are hazy subsets, which are fuzzy subsets whose membership functions are cost functions taking their values in [0,infinity] instead of [0,1]. By doing so, the concept of uncertainty involved in differential inclusions becomes more precise, by allowing the velocities not only to depend in a multivalued way upon the state of the system, but also in a fuzzy way. The viability theorems are adapted to hazy differential inclusions and to sets of state constraints which are either usual or hazy. The existence of a largest closed hazy viability domain contained in a given closed hazy subset is also provided.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:58
Last Modified: 27 Aug 2021 17:13
URI: https://pure.iiasa.ac.at/3123

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