This paper is concerned with the stability analysis of networked control systems with communication constraints, variable delays and variable sampling intervals.The scheduling of sensor communication is defined by a stochastic protocol.The activation probability of each sensor node is a given constant, whereas it is assumed that collisions occur with a certain probability.The resulting closed-loop system is a stochastic impulsive system withdelays in the continuous dynamics and in the reset equations. The system matrices have stochastic parameters with Bernoulli distributions.Sufficient conditions for the exponential mean-square stabilityare derived via a Lyapunov-Krasovskii-based method. The efficiency of the method is illustrated on the examples of a cart-pendulum system and a batch reactor.It is demonstrated how our time-delay approach allows treating network-induced delays larger thanthe sampling intervals.
QC 20131218