Tools
Tools
Aubin, J.-P. (1988). Hazy Differential Inclusions. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-88-082
Preview |
Text
WP-88-082.pdf Download (414kB) | Preview |
Abstract
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 |
Actions (login required)
 |
View Item |