Fixed-deviation stabilization and synchronization for delayed fractional-order complex-valued neural networks

Abstract

In this paper, we study fixed-deviation stabilization and synchronization for fractional-order complex-valued neural networks with delays. By applying fractional calculus and fixed-deviation stability theory, sufficient conditions are given to ensure the fixed-deviation stabilization and synchronization for fractional-order complex-valued neural networks under the linear discontinuous controller. Finally, two simulation examples are presented to show the validity of theoretical results.

Keywords

• fractional-order complex-valued neural networks
• time delays
• fixed-deviation dynamics
• discontinuous control