  The communication channels used to convey information between the components
of wireless networked control systems (WNCSs) are subject to packet losses due
to time-varying fading and interference. The WNCSs with missing packets can be
modeled as Markov jump linear systems with one time-step delayed mode
observations. While the problem of the optimal linear quadratic regulation for
such systems has been already solved, we derive the necessary and sufficient
conditions for stabilizability. We also show, with an example considering a
communication channel model based on WirelessHART (a on-the-market wireless
communication standard specifically designed for process automation), that such
conditions are essential to the analysis of WNCSs where packet losses are
modeled with Bernoulli random variables representing the expected value of the
real random process governing the channel.
