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In this paper, the issue on cluster synchronization (CS) of complex networks (CNs) with parameter mismatches and time-varying delays (TVDs) is investigated. A memory pinning impulsive control (MPIC) approach, which is dependent not only on the current state and the history state but also on the number of nodes to be controlled at impulsive instants, is proposed for the first time. By resorting to the effective Lyapunov functional and impulsive differential inequalities, some criteria for achieving the CS of the concerned networks are established. Compared with the existing results, the network nodes are nonidentical and two MPIC cases are taken into account. Two numerical examples based on MATLAB software are presented to demonstrate the effectiveness of the proposed MPIC approach. [ABSTRACT FROM AUTHOR]

This paper studies the problem of synchronization for a class of Takagi–Sugeno (T–S) fuzzy complex networks, where the node dynamics may include partial coupling, diffusion coupling, discrete-time coupling, and delayed coupling. A fuzzy sampled-data control strategy that takes into account the time-delay effect is designed to solve the synchronization problem of such networks. Synchronization criteria are established for complex networks with the target node by constructing a modified time-dependent Lyapunov functional and using a mathematical induction approach. In contrast to most existing results, the constructed Lyapunov functional is neither necessarily positive on sampling intervals nor needlessly continuous at sampling instants. Moreover, a corresponding greater aperiodic sampling interval is obtained. Numerical simulation is presented to demonstrate the feasibility and validity of the proposed strategies. [ABSTRACT FROM AUTHOR]

This paper focuses on the lag synchronization issue for a kind of general complex networks with multiple time-varying delays via the pinning control strategy. By applying the Lyaponov functional theory and mathematical analysis techniques, sufficient verifiable criteria that depend on both intrinsic time-varying delay and coupled time-varying delay are obtained to achieve lag synchronization of the networks. Moreover, the coupling configuration matrices are not required to be symmetric or irreducible, and the minimum number of pinned nodes is determined by node dynamics, coupling matrices, and the designed parameter matrices. Finally, a numerical example is given to illustrate the feasibility of the theoretical results. [ABSTRACT FROM AUTHOR]