Stability analysis and stabilization of uncertain two-dimensional discrete systems: an LMI approach

The authors consider the problem of robust stability analysis and stabilization of uncertain two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (LSS) model. Sufficient conditions 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 introduced to solve the robust stabilization problem of the uncertain 2-D systems via static-state feedback. Furthermore, sufficient conditions for the 2-D uncertain systems to be free of overflow oscillations under a saturation arithmetic are established.