Robust synchronization of memristive neural networks with strong mismatch characteristics via pinning control

Abstract

Abstract This paper is concerned with robust synchronization problem of memristive neural networks (MNNs) with mismatch characteristics. First, based on theories of set-valued maps and differential inclusions, strong mismatch characteristics including coefficient mismatch and time-varying delay mismatch are simultaneously considered between the drive and response MNNs. Second, pinning control strategy, which can save control cost by adding controllers on partial node, is adopted to guarantee the drive system and the response system can achieve synchronization robustly. Furthermore, the sufficient stability conditions for error system is proved by using Lyapunov functional method. Finally, numerical simulation is presented to verify the effectiveness of the proposed results.