Passivity of memristor-based recurrent neural networks with multi-proportional delays

Passivity of memristor-based recurrent neural networks (MRNNs) with multi-proportional delays is investigated in this paper. Here, proportional delay is an unbounded time-varying delay, which is distinct from constant delay, bounded time-varying delay and distributed delay. In the sense of Filippov solution, we present several new sufficient conditions for the passivity of MRNNs with multi-proportional delays, which are delay-independent and delay-dependent, by establishing appropriate Lyapunov functionals and utilizing inequality techniques. The passivity criteria here are presented in the form of linear matrix inequalities (LMIs). Finally, a numerical example and its simulations are given to illustrate the accuracy and validation of the obtained results.