Mittag-Leffler stability of impulsive fractional-order bi-directional associative memory neural networks with time-varying delays
Ivanka Stamova, Gani Tr. Stamov, Stanislav Simeonov, Alexander Ivanov · Transactions of the Institute of Measurement and Control · 2017
In the paper, a class of impulsive Caputo fractional-order bi-directional associative memory neural networks with time-varying delays is considered. Applying the fractional Lyapunov method, a sufficient condition for Mittag-Leffler stability of the equilibrium point of the system under consideration is derived. Some earlier results are extended and improved. Our results provide an impulsive control law which stabilizes the impulse-free fractional-order neural network time-delay model. An example is provided to demonstrate the effectiveness of the proposed results.