On the Set-Valued Calculus in Problems of Viability and Control for Dynamic Processes: The Evolution Equation

Kurzhanski AB & Filippova TF (1988). On the Set-Valued Calculus in Problems of Viability and Control for Dynamic Processes: The Evolution Equation. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-88-091

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Abstract

The paper deals with the problem of specifying the assembly of all solutions to a differential inclusion that satisfy a preassigned constraint on the state space variables (the "viability" tube). A "funnel equation" that describes the evolution of the cross-section of this tube (the "attainability domain") is then proposed and a feedback control problem for a system with state constraints is then proved to be solved on the basis of these constructions.

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: 21 Jul 2016 19:50
URI: http://pure.iiasa.ac.at/3114

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