Strong stabilization of MIMO systems: An LMI approach

In this paper, the strong stabilization problem of proper and non-minimum phase linear time-invariant multi-variable systems is considered. The formulation of the problem resulted in a sufficient condition in a form of linear matrix inequality (LMI) which will be solved using MATLAB LMI toolbox. A necessary and sufficient condition is given in a form of quadratic matrix inequality, (QMI). It is proved that the solution of the linear part of the QMI satisfies the QMI.