Given

This paper focuses on the given-time consensus of stochastic Markov jump networks with disturbances based on dynamic output feedback control. By exploring the relative output information, a distributed dynamic output feedback protocol is designed to guarantee that the disagreement dynamics of networks keeps within the prescribed bound in a fixed time interval. With the new model transformation approach, the obtained results are more general and lead to less conservativeness. An example of industrial material heating unit verifies the engineering application of the proposed algorithm for networks in the presence of both Markov jump topologies and external disturbances