A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
نویسندگان
چکیده
We present a generalization of the Kalman rank condition to the case of n×n linear parabolic systems with constant coefficients and diagonalizable diffusion matrix. To reach the result, we are led to prove a global Carleman estimate for the solutions of a scalar 2n−order parabolic equation and deduce from it an observability inequality for our adjoint system. AMS 2000 subject classification: 93B05, 93B07, 35K05, 35K55, 35R30.
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تاریخ انتشار 2017