Slow and Heavy Viable Trajectories of Controlled Problems. Part 1. Smooth Viability Domains

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2557 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2557 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2557 archive 351 disk0/00/00/25/12 2016-01-15 01:55:03 2021-08-27 17:12:05 2016-01-15 01:55:03 monograph show 2 Aubin J.-P. 7347 Slow and Heavy Viable Trajectories of Controlled Problems. Part 1. Smooth Viability Domains pub iis_met prog_dyn We define slow and heavy viable trajectories of differential inclusions and controlled problems. Slow trajectories minimize at each time the norm of the velocity of the state (or the control) and heavy trajectories the norm of the acceleration of the state (or the velocity of the control). Macrosystems arising in social and economic sciences or biological sciences seem to exhibit heavy trajectories. We make explicit the differential equations providing slow and heavy trajectories when the viability domain is smooth. 1984-02 published WP-84-006 WP-84-006 1134 public working_paper IIASA, Laxenburg, Austria 17 FALSE info:eu-repo/semantics/book