Stability analysis and stabilization of uncertain two-dimensional discretesystems: An LMI approach

This brief considers the problem of robust stability analysis and stabiliza tion of uncertain two-dimensional (2-D) discrete systems described by the F ornasini-Marchesini second local state-space (LSS) model. Sufficient condit ions for the uncertain 2-D discrete systems to be robustly stable are given in terms of linear matrix inequalities (LMI's). The LMI approach is also i ntroduced to solve the robust Stabilization problem of the uncertain 2-D sy stems via static-state feedback. Furthermore, sufficient conditions for the 2-D uncertain systems to be free of overflow oscillations under a saturati on arithmetic are established.