Controllability of the Wave Equation with Pointwise Moving Control

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3635 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3635 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3635 archive 351 disk0/00/00/36/18 2016-01-15 02:01:46 2021-08-27 17:14:11 2016-01-15 02:01:46 monograph show 2 Khapalov A.Y. AL0841 Controllability of the Wave Equation with Pointwise Moving Control pub iis_met prog_sds The paper deals with approximate and exact controllability of the wave equation with interior pointwise control acting along the curve specified in advance in the system's spatial domain. The structure of the control input is dual to the structure of the observations describing the measurements of velocity and gradient of the solution of the dual system, obtained from the single pointwise moving sensor. A relevant formalization of such a control problem is discussed, based on transposition. The techniques used are based on the observability results involving a priori energy estimates of an instantaneous type. 1992-10 published WP-92-082 WP-92-082 10 2028 public working_paper IIASA, Laxenburg, Austria 26 FALSE info:eu-repo/semantics/book