Periodic Solution Problems for a Class of Hebbian-Type Networks with Time-Varying Delays

Abstract

By using Gronwall’s inequality and coincidence degree theory, the sufficient conditions of the globally exponential stability and existence are given for a Hebbian-type network with time-varying delays. The periodic behavior phenomenon is one of the hot topics in network systems research, from which we can discover the symmetric characteristics of certain neurons. The main theorems in the present paper are illustrated using a numerical example.

Keywords

• periodic solution
• networks
• Hebbian-type
• existence
• stability