This paper investigates the dissipative stability analysis and control problem for the two-dimensional (2-D) switched Fornasini-Marchesini local state-space (FMLSS) model.Firstly, the definition of 2-D (T, S, R)-δ-dissipativity is introduced for the 2-D FM systems.Secondly, the sufficient condition to guarantee the asymptotical stability and (T, S, R)-δ-dissipativity of the 2-D switched FM systems is proposed.Then the 2-D (T, S, R)-δ-dissipative state-feedback controller is designed based on the obtained dissipative stability condition and the projection lemma technique.Finally, the effectiveness of the proposed method is illustrated via a numerical example.