Yang, H.Xia, Y.Shi, P.Fu, M.2013-05-202013-05-202012Circuits, Systems and Signal Processing, 2012; 31(1):107-1250278-081X1531-5878http://hdl.handle.net/2440/77845This paper investigates the problem of stability for a class of linear uncertain Markovian jump systems over networks via the delta operator approach. The sensor-to-controller random network-induced delay and arbitrary packet losses are considered for mode-dependent time delays. That is, a Markov process is used to model the time-varying delays which are dependent on the system mode. Based on the Lyapunov-Krasovskii functional in the delta domain, a new sufficient condition for the solvability of the stability problem is presented in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the techniques developed. © Springer Science+Business Media, LLC 2011.en© Springer Science+Business Media, LLC 2011Delta operator systemsNetworked control systemsRobust stabilityMarkovian jump parametersMode-dependent delaysLinear matrix inequalities (LMIs)Journal article002012756310.1007/s00034-010-9263-80002995171000092-s2.0-8486305514220095Shi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]