Non-fragile mixed ℋ∞/l2 − l∞ synchronisation control for complex networks with Markov jumping-switching topology under unreliable communication links

This study is concerned with the non-fragile mixed ℋ_∞/l₂ - l_∞ synchronisation control problem for discrete-time complex networks with Markov jumping-switching topology under unreliable communication links. The network topology under consideration is assumed to be governed by a Markov chain with time-varying transition probabilities (TPs). The variation of TPs is subject to a kind of slow switching signals; that is, the average dwell time (ADT) switching. The focus is on the design of non-fragile mixed mode-dependent/-independent controllers such that the underlying network reaches stochastic mean-square synchronisation with a mixed ℋ_∞/l₂ - l_∞ performance level for an admissible switching signal with ADT. By using a new mixed ℋ_∞/l₂ - l_∞ performance index, combined with the switched control method, the solutions to the considered problem are formulated. Finally, simulation results demonstrate the effectiveness of our proposed approach.