Finite-time Mittag-Leffler synchronization of fractional-order memristive BAM neural networks with time delays.

This paper investigates the finite-time synchronization of delayed fractional-order memristive bidirectional associative memory neural networks (FMBAMNNs). Based on Lyapunov theory, fractional-order differential inequalities, norm properties and linear feedback controller, the separated criteria are obtained to ensure the finite-time synchronization of studied FMBAMNNs with different fractional order α, respectively. Moreover, the derived criteria are easily checked and they contribute to the reduction of amount of calculation. Finally, two numerical examples are given to demonstrate the effectiveness of the theoretical results. Firstly,źanźeconomicalźclassźofźFMBAMNNsźisźconstructedźbyźjustźusingźoneźpairźofźmemristorsźtoźstoreźmultipleźstatesźofźtheźinputźmessage.Secondly,źforźtheźfirstźcase,źeasilyźcheckedźcriteriaźareźobtainedźtoźachieveźtheźfinite-timeźsynchronizationźofźFMBAMNNs.Thirdly,źforźanotherźcase,źaźrelaxedźjudgmentźconditionźisźderivedźtoźrealizeźtheźfinite-timeźsynchronizationźofźFMBAMNNs.Finally,źtheźobtainedźcriteriaźareźsimpleźinźformźandźtheyźareźmoreźeasilyźcheckedźandźcontributeźtoźreducingźtheźcomputationalźburden.