%0 Journal Article
%@ 0005-1098
%A Donkers, M.C.F.
%A Heemels, W.P.M.H.
%A Bernardini, Daniele
%A Bemporad, Alberto
%A Shneer, Vsevolod
%D 2012
%F eprints:1005
%I Elsevier 
%J Automatica
%K Communication protocols; Networked control systems; Parameter-varying systems; Stochastic control; Switched systems
%N 5
%P 917-925
%T Stability analysis of stochastic networked control systems
%U http://eprints.imtlucca.it/1005/
%V 48
%X In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet dropouts and communication constraints. The transmission intervals and transmission delays are described by a sequence of continuous random variables. The complexity that the continuous character of these random variables introduces is overcome using a novel convex overapproximation technique that preserves the available probabilistic information. By focusing on linear plants and controllers, we present a modelling framework for NCSs based on discrete-time linear switched and parameter-varying systems. Stability (in the mean-square) of these systems is analysed using a new stochastic computational technique, resulting in a finite number of linear matrix inequalities. We illustrate the developed theory on the benchmark example of a batch reactor.