1. Introduction Two-dimensional (2-D) systems whose states depend on two independent variables, which play an important role in air drying, seismographic data processing, digital signal processing, and so on [1,2], have attracted the attention of many scholars over the past decade. Many essential results of 2-D switched systems have been proposed such as stability analysis [3,4,5,6], H ∞ control [7], dissipative control [8,9,10,11], filtering problems [12,13], and fault detection problems [14].