In this paper, we investigate the network-dependent hybrid controller design for a class of networked switched linear control systems. Sampling and network-induced delay cause the asynchronous motions between switched subsystems and the candidate controllers in both the state measurement and the switching signal. We rewrite the original networked switched linear systems by sampled asynchronous switched linear systems with time-varying delay. Using the asynchronous system method, we give network-dependent conditions to guarantee the system is exponentially stable, and the hybrid controller design method is also proposed.