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Aubin, J.-P. & Frankowska, H. (1992). Set-Valued Analysis, Viability Theory and Partial Differential Inclusions. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-92-060
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Abstract
Systems of first-order partial differential inclusions -- solutions of which are feedbacks governing viable trajectories of control systems -- are derived. A variational principle and an existence theorem of a (single-valued contingent) solution to such partial differential inclusions are stated. To prove such theorems, tools of set-valued analysis and tricks taken from viability theory are surveyed.
This paper is the text of a plenary conference to the World Congress on Nonlinear Analysis held at Tampa, Florida, August 19-26, 1992.
| Item Type: | Monograph (IIASA Working Paper) |
|---|---|
| Research Programs: | System and Decision Sciences - Core (SDS) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 02:01 |
| Last Modified: | 27 Aug 2021 17:14 |
| URI: | https://pure.iiasa.ac.at/3639 |
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