Null controllability of -coupled degenerate parabolic systems with -controls

摘要

In this paper we will analyze the null controllability properties of a linear coupled degenerate parabolic system of n equations when m distributed controls are exerted on the system. First we start with the case when the coupling matrix A is cascade, and then when A is a full matrix, we will prove that the Kalman rank condition on the coupling and the control matrices A and B characterizes the controllability properties of the system.