This paper investigates the stability and stabilization problems of networked control systems. By considering the
structural stochastic switching of plant and packet dropouts over networks, Markovian jump systems characterized by two
independent Markov chains are applied to model such dynamics. Taking into account the incomplete transition descriptions
in practice, the necessary and sufficient criteria of stabilization are obtained via the properties of mode transition probabilities.
Simultaneously, the state feedback controller is designed to guarantee the stochastic stability of such systems. Simulation
results show the effectiveness of the proposed method.