Controllability and stabilizability of multi-rate sampled data systems

This paper gives sufficient conditions for controllability and stabilizability of multi-rate sampled data systems. For this purpose, it is firstly proposed that if the actuator communication sequence of a bandwidth limited networked system is equidistant, then the resulting model is mathematically equivalent to a multi-rate sampled data system. Secondly, recent results on controllability and stabilizability of bandwidth limited networked systems are reduced to the case of equidistant communication sequences. The established conditions enhance existing results on controllability and stabilizability of multi-rate sampled data systems. Also, it is shown that two independently established conditions for controllability and stabilizability of networked systems are equivalent in the special case of equidistant actuator communication sequences.