access icon free Non-fragile mixed ℋ/l 2 − 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/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.

Inspec keywords: H∞ control; control system synthesis; network topology; complex networks; Markov processes; time-varying systems; discrete time systems; performance index; synchronisation

Other keywords: switched control method; average dwell time; time-varying transition probabilities; nonfragile mixed ℋ∞/l2 − l∞ synchronisation control; discrete-time complex networks; nonfragile mixed mode-dependent controllers; ADT switching; Markov jumping-switching topology; stochastic mean-square synchronisation; Markov chain; nonfragile mixed mode-independent controllers; unreliable communication links; TP; switching signal; mixed ℋ∞/l2 − l∞ performance index; network topology; slow switching signals

Subjects: Markov processes; Optimal control; Discrete control systems; Time-varying control systems; Control system analysis and synthesis methods

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http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2014.0157
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