GLOBAL EXPONENTIAL STABILITY OFREACTION-DIFFUSION TIME-VARYING DELAYEDCELLULAR NEURAL NETWORKS WITH DIRICHLETBOUNDARY CONDITIONS

摘要

This paper is devoted to global exponential stability of reaction-diffusion time-varyingdelayed cellular neural networks with Dirichlet boundary conditions. Without assumingthe monotonicity and differentiability of activation functions, nor symmetry of synapticinterconnection weights, the authors present some delay independent and easily verifiablesufficient conditions to ensure the global exponential stability of the equilibrium solutionby using the method of variational parameter and inequality technique. These conditionsobtained have important leading significance in the designs and applications of globalexponential stability for reaction-diffusion neural circuit systems with delays. Lastly, oneexample is given to illustrate the theoretical analysis.