A sufficient condition on the robust monotonic convergence of uncertain 2-D Roesser systems

This paper investigates the robust monotonic convergence of discrete uncertain two-dimensional (2-D) systems described by Roesser model. The robust monotonic convergence problem of the uncertain 2-D system is firstly converted to two H∞ disturbance attenuation problems of the traditional one-dimensional system. Then, the sufficient condition is derived for the robust monotonic convergence, which is given by two linear matrix inequalities (LMIs). Furthermore, it can be shown that either of the LMIs can also guarantee the Bounded-Input Bounded-Output (BIBO) stability of the uncertain 2-D system. Those observations would facilitate the analysis and synthesis of 2-D systems.