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In this paper, the problem of stability analysis and controller design for a class of networked control systems (NCSs) with stochastic markovian packet dropouts is investigated. The kind of systems are modeled as Markov jump linear systems with partly unknown Markov states based on the hidden Markov model. We present sufficient condition for the stability and develop the controller design method for NCSs with packet dropouts. The example of numerical simulation illustrates the effectiveness of the results.