Abstract
This paper investigates the stability and lag synchronization for memristor-based fuzzy Cohen–Grossberg bidirectional associative memory (BAM) neural networks with mixed delays (asynchronous time delays and continuously distributed delays) and impulses. By applying the inequality analysis technique, homeomorphism theory and some suitable Lyapunov–Krasovskii functionals, some new sufficient conditions for the uniqueness and global exponential stability of equilibrium point are established. Furthermore, we obtain several sufficient criteria concerning globally exponential lag synchronization for the proposed system based on the framework of Filippov solution, differential inclusion theory and control theory. In addition, some examples with numerical simulations are given to illustrate the feasibility and validity of obtained results.
•We not only consider the effects of fuzziness and memristor, but also investigate the impulsive effects.•We obtain the uniqueness and global exponential stability of equilibrium point of the system without using the M-matrix theory.•Some sufficient criteria for globally exponential lag synchronization are also obtained by using the Lyapunov–Krasovskii functional method.•The given criteria in this paper are weaker and easier to be verified in numerical simulations than the previous results.