Multiple ψ-Type Stability of Cohen–Grossberg Neural Networks With Unbounded Time-Varying Delays
Fanghai Zhang, Zhigang Zeng · IEEE Transactions on Systems Man and Cybernetics Systems · 2018
This paper investigates Cohen-Grossberg neural networks (CGNNs) with unbounded time-varying delays. The existence condition of multiple equilibrium points is established by the algebraic inequality method. And then, the ψ-type stability is studied by analysis method for CGNNs with unbounded time-varying delays, and the relative convergence rate can be adjusted by the selection of ψ-type functions. Moreover, by introducing the topological degree, the algebraic sum of the number of equilibria remains unchanged for any smooth function in the specified metric space. Finally, one numerical example is implemented to show the validity of the presented results.