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Global stability analysis in delayed cellular neural networks. (English) Zbl 1045.37057
Summary: Without assuming the boundedness, monotonicity, and differentiability of the activation functions, we present new conditions ensuring existence, uniqueness, and global asymptotical stability of the equilibrium point of cellular neural network models with fixed time delays. The results are applicable to both symmetric and nonsymmetric interconnection matrices, and all continuous nonmonotonic neuron activation functions.
MSC:
37N20Dynamical systems in other branches of physics
34D23Global stability of ODE
82C32Neural nets (statistical mechanics)
68T05Learning and adaptive systems
94A08Image processing (compression, reconstruction, etc.)
94A12Signal theory (characterization, reconstruction, filtering, etc.)