Output synchronization analysis of coupled fractional-order neural networks with fixed and adaptive couplings

In this work, the output synchronization of coupled fractional-order neural networks is investigated. Based on the Lyapunov stability theorem and the properties of fractional calculus, sufficient conditions for guaranteeing the output synchronization of coupled fractional-order neural networks with fixed coupling are derived. Moreover, the adaptive strategy with adjusting the coupling weights is introduced, and sufficient conditions are proposed for guaranteeing the output synchronization of fractional-order neural networks with adaptive couplings. In comparison with previous results, the results obtained in this paper are suitable for fractional-order systems, including the output synchronization of integer-order systems as a special case. Two numerical examples are given to verify the validity of the results.