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The synchronization problem for both continuous and discrete‐time complex dynamical networks with time‐varying delays is investigated. Using optimal partitioning method, time‐varying delays are partitioned into l subintervals and generalized results are derived in terms of linear matrix inequalities (LMIs). New delay‐dependent synchronization criteria in terms of LMIs are derived by constructing appropriate Lyapunov–Krasovskii functional, reciprocally convex combination technique and some inequality techniques. Numerical examples are given to illustrate the effectiveness and advantage of the proposed synchronization criteria. © 2014 Wiley Periodicals, Inc. Complexity 21: 193–210, 2015

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Summary On the basis of the passivity theory, the problem of designing non‐fragile H∞ control for a class of networked control systems (NCSs) with the plant being a switched system is presented. The NCSs under consideration are modeled by considering the network‐induced imperfections like transmission delays and packet dropouts as a single time‐varying delay. The network status is assumed to vary on the basis of sojourn probabilities, and these probabilities are known a prior. The controller is designed including stochastic fluctuations in its gain matrix by considering the Bernoulli distributed white sequence along with time‐varying probability measures. The key steps in this method are to construct an improved Lyapunov–Krasovskii Functional and to utilize reciprocally convex technique. The sojourn probability‐dependent sufficient criteria are obtained to ensure the closed‐loop, mode‐dependent switched NCSs to be robustly stochastically stable on the basis of the combined H∞ and passivity performance. The effectiveness of the proposed method is illustrated through an example. Copyright © 2017 John Wiley & Sons, Ltd.