Asynchronous switching network protocol design for networked linear switched systems

In this paper, we investigate the network protocol design for a class of networked switched linear control systems. The periodic switching signal can be viewed of a network protocol to guarantee the perfect transmission for networked switched control systems. Sampling and network-induced delay cause the asynchronous motions between switched subsystems and the corresponding switching controllers. We rewrite the original networked switched linear systems by sampled asynchronous switched linear systems with time-varying delay. Using the descriptor system representation method, we give a new asynchronous switching network protocol to guarantee the system is exponentially stable, which depends on the periodic switching interval, the rate of network-induced asynchronous switching, and the upper bound of time-varying delay.