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

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3155 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3155 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3155 archive 351 disk0/00/00/31/14 2016-01-15 01:58:43 2021-08-27 17:13:13 2016-01-15 01:58:43 monograph show 3 Kurzhanski A.B. AL0216 Filippova T.F. On the Set-Valued Calculus in Problems of Viability and Control for Dynamic Processes: The Evolution Equation pub iis_met prog_sds 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. 1988-10 published WP-88-091 WP-88-091 10 2088 public working_paper IIASA, Laxenburg, Austria 30 FALSE info:eu-repo/semantics/book