Feedbacks for Non { Autonomous Regular Linearsystemsroland
نویسنده
چکیده
We introduce non{autonomous well{posed and (absolutely) regular linear systems as quadrupels consisting of an evolution family and output, input and input{ output maps subject to natural hypotheses. In the spirit of G. Weiss' work these maps are represented in terms of admissible observation and control operators (the latter in an approximative sense) in the time domain. In this setting the closed{loop system exists for a canonical class ofàdmissible' feedbacks, and it inherits the absolute regularity and other properties of the given system. In particular, one can iterate feedbacks. We study a second order parabolic partial diierential equation in non{divergence form with point control and observation in space dimension n 3.
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تاریخ انتشار 2001