Boundedness, Mittag-Leffler stability and asymptotical ωω-periodicity of fractional-order fuzzy neural networks

We show that the ωω-periodic fractional-order fuzzy neural networks cannot generate non-constant ωω-periodic signals. In addition, several sufficient conditions are obtained to ascertain the boundedness and global Mittag-Leffler stability of fractional-order fuzzy neural networks. Furthermore, SS-asymptotical ωω-periodicity and global asymptotical ωω-periodicity of fractional-order fuzzy neural networks is also characterized. The obtained criteria improve and extend the existing related results. To illustrate and compare the theoretical criteria, some numerical examples with simulation results are discussed in detail.