Dissipativity analysis and quasi-projective synchronisation for fractional-order fuzzy memristive neural networks with discontinuous activation function

This paper addresses the problems of dissipativity analysis and quasi-projective synchronisation for a class of fractional-order fuzzy neural networks (F-FNNs) with memristive synaptic connections and discontinuous activation functions. First, sufficient conditions ensuring the dissipativity of the considered memristive F-FNNs are derived by constructing a suitable Lyapunov function and applying fractional differential inequality techniques. Then, based on the quasi-projective synchronisation framework, a class of discontinuous control laws is designed to ensure the synchronisation of the drive-response systems under the influence of discontinuities and parameter mismatches. Using Filippov's differential inclusion theory and fractional-order calculus, new synchronisation criteria are proposed to guarantee convergence of the synchronisation error. Finally, numerical simulations are presented to validate the theoretical findings and illustrate the effectiveness and robustness of the proposed strategy.