Exact Observability of Nonstationary Hyperbolic Systems with Scanning Finite-Dimensional Observations

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3642 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3642 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3642 archive 351 disk0/00/00/36/25 2016-01-15 02:01:48 2021-08-27 17:14:12 2016-01-15 02:01:48 monograph show 2 Khapalov A.Y. AL0841 Exact Observability of Nonstationary Hyperbolic Systems with Scanning Finite-Dimensional Observations pub iis_met prog_sds The paper considers a problem of exact observability for nonstationary linear hyperbolic systems with nonstationary interior observations. Three types of scanning observations are considered and the existence of measurement curves and set-valued maps for sensors that ensure exact observability is established. The proposed method is based on a priori energy estimates of instantaneous type for solutions. It allows to obtain required measurement curves that are continuous in a fixed interval or measurement maps that are lower semi-continuous in the interval with respect to Lebesgue measure. 1992-10 published WP-92-074 WP-92-074 10 2028 public working_paper IIASA, Laxenburg, Austria 29 FALSE info:eu-repo/semantics/book