Stability and control of a physical class of 2D continuous-discrete linear systems using an LMI setting

In this paper we give new results on the analysis and control of differential linear repetitive processes, which are a distinct class of 2D linear systems of both systems theoretic and applications interest. The new results relate to stability and control in the presence of uncertainty in the process state space model. The family of control laws used has a well defined physical basis in terms of the underlying process dynamics.