Non‐fragile mixed ℋ ∞ / l 2 − l ∞ synchronisation control for complex networks with Markov jumping‐switching topology under unreliable communication links
Hao Yang Shen, Zheng‐Guang Wu, Zhengqiang Zhang, Ju H. Park · IET Control Theory and Applications · 2014
This study is concerned with the non‐fragile mixed ℋ ∞ / l 2 − 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 ∞ / l 2 − l ∞ performance level for an admissible switching signal with ADT. By using a new mixed ℋ ∞ / l 2 − 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.