For a class of nonlinear two-dimensional(2-D) discrete systems with time-varying state delays, which are
described by local state space(LSS) Fornasini-Marchesini(FM) second model, stability and control problems are considered.
The upper and lower bounds of time-varying state delays are positive integers and the nonlinearity satisfies Lipschitz
condition. Firstly, a stability criteria is proposed through introducing a new Lyapunov function with the bounds of delays.
Then a state feedback controller is designed to assure the stability of nonlinear 2-D time-varying systems. Moreover, the
state feedback control law can be obtained by solving linear matrix inequality(LMI). Finally, a numerical example shows the
effectiveness of the results.