@article{eprints1005,
            year = {2012},
           title = {Stability analysis of stochastic networked control systems},
           pages = {917--925},
          number = {5},
          volume = {48},
           month = {May},
          author = {M.C.F. Donkers and W.P.M.H. Heemels and Daniele Bernardini and Alberto Bemporad and Vsevolod Shneer},
       publisher = {Elsevier },
         journal = {Automatica},
        keywords = {Communication protocols; Networked control systems; Parameter-varying systems; Stochastic control; Switched systems},
        abstract = {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.},
             url = {http://eprints.imtlucca.it/1005/}
}