New results on passivity analysis of memristive neural networks with time-varying delays and reaction–diffusion term.

In this paper, we put in effort to inspect the passivity and exponential passivity problem of memristive neural networks with time-varying delays and reaction–diffusion term. Based on the basis of generalized Lyapunov approach, Poincar e ` inequality, Schur complement Lemma, free-weighting matrix approach as well as some inequality techniques, the main conclusions of this paper are derived in the form of linear matrix inequality (LMI). What is noteworthy is that the obtained sufficient criteria rely on the reaction–diffusion term, which implies that the reaction–diffusion term can effect the passivity of the given system. Finally, two numerical examples are emerged to check the practicability of the derived passivity conditions. [ABSTRACT FROM AUTHOR]