Global Exponential Stability of Almost Periodic Solution for A Large Class of Delayed Dynamical Systems

摘要

Research of delayed neural networks with variable self-inhibitions,inter-connection weights, and inputs is an important issue. %In the real world,self-inhibitions, %inter-connection weights, and inputs should vary throughtime. In In this paper, we discuss a large class of delayed dynamical systemswith almost periodic self-inhibitions, inter-connection weights, and inputs.This model is universal and includes delayed systems with time-varying delays,distributed delays as well as combination of both. We prove that under somemild conditions, the system has a unique almost periodic solution, which isglobally exponentially stable. We propose a new approach, which is independentof existing theory concerning with existence of almost periodic solution fordynamical systems.