Impulsive μ-stabilization and μ-synchronization for delayed network systems with any time-varying delays

This paper investigates impulsive mu-stabilization and mu-synchronization for dynamical systems with any time-varying delays. A novel impulsive delay inequality is obtained from impulsive control point of view, which can uniformly deal with any bounded and unbounded time-varying delays, and moreover relaxes the restriction on differentiability of the delays. A criterion is derived to ensure global mu-stability of the addressed neural networks via impulsive control. This inequality is subsequently applied to secure communication systems, and synchronization conditions are presented for global mu-synchronization of coupled chaotic communication systems with any transmission delay and control impulses. The feasibility of the analytical results is finally illustrated by three examples. (C) 2020 Elsevier B.V. All rights reserved.