Ellipsoidal Calculus, Singular Perturbations and the State Estimation Problems for Uncertain Systems

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3665 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3665 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3665 archive 351 disk0/00/00/36/47 2016-01-15 02:01:55 2021-08-27 17:14:14 2016-01-15 02:01:55 monograph show 3 Filippova T.F. Kurzhanski A.B. AL0216 Sugimoto K. AL1264 Valyi I. AL1323 Ellipsoidal Calculus, Singular Perturbations and the State Estimation Problems for Uncertain Systems pub iis_met prog_sds One of the basic elements of dynamic modelling of complex systems is the linkage and synchronization of subsystems that develop in different time scales. The relevant techniques applied here are related to a singular perturbation theory for differential systems. A more complicated issue arises for uncertain systems described by differential inclusions, for which an appropriate theory is being developed. In order to make the theory constructive, some further steps are necessary. These are presented in this paper, where a computer-implementable "ellipsoidal" version is given. The results are particularly relevant to the linkage of models related to environmental, demographic and economic problems. 1992-08 published WP-92-051 WP-92-051 10 2088 2428 2471 public working_paper IIASA, Laxenburg, Austria 18 FALSE info:eu-repo/semantics/book