A model of switching fuzzy time-delay composite systems is presented, and the decentralized stabilization
problem is studied for the states and interconnected terms with time-delay. When every switching subsystem of every
interconnected subsystem has finite states feedback controllers in a given set of controllers and none of the individual
controllers can make the systems stable, the matrix inequalities conditions of delay dependent and the decentralized
switching laws design method are provided by using multiple Lyapunov functions method, such that the systems are
asymptotically stable under the proposed decentralized switching laws and decentralized controllers. The simulation results
show effectiveness of the design method.