Set-Valued Analysis, Viability Theory and Partial Differential Inclusions

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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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

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