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This paper studies the problem of positivel1state-bounding observer design for a class of positive Markovian jump systems with interval parameter uncertainties by a linear programming approach. For the first, necessary and sufficient conditions are obtained for stochastic stability andl1performance of positive Markovian jump systems by an "equivalent" deterministic positive linear system. Furthermore, based on the results obtained in this paper, sufficient conditions for the existence of thedoi:10.1155/2016/2134807 fatcat:dt7dkn5ezvhx3jpqvgiwk3zpby