Less conservative global asymptotic stability of 2-D state-space digital filter described by Roesser model with polytopic-type uncertainty

In this paper, the problem of stability analysis of Roesser-type two-dimensional state-space digital filter with polytopic-type uncertainty is further investigated by developing an efficient slack matrix variable approach. Under the framework of homogenous matrix polynomials, the algebraic properties of the convex bounded parameters are collected into a set of united collection matrices. Consequently, the relaxation quality of stability analysis is improved and novel global asymptotic stability condition of the uncertain Roesser-type 2-D state-space digital filter is derived with less conservatism than the existing one. Finally, an illustrative example is given to show the effectiveness of the proposed results.