  This paper deals with the design of scheduling logics for networked control
systems (NCSs) whose communication networks have limited capacity and are prone
to data losses. Our contributions are twofold. First, we present a
probabilistic algorithm to generate a scheduling logic that under certain
conditions on the plant and the controller dynamics, the capacity of the
network and the probability of data losses, ensures stochastic stability of
each plant in the NCS. Second, given the plant dynamics, the capacity of the
shared communication network and the probability of data losses, we discuss the
design of state-feedback controllers such that our stability conditions are
obeyed. Numerical examples are presented to demonstrate the results reported in
this paper.
