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Kurzhanski, A.B. & Filippova, T.F. (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: | 27 Aug 2021 17:13 |
| URI: | https://pure.iiasa.ac.at/3114 |
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