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Zbl 1078.68127
Lu, Wenlian; Chen, Tianping
Dynamical behaviors of Cohen-Grossberg neural networks with discontinuous activation functions. (English)
[J] Neural Netw. 18, No. 3, 231-242 (2005). ISSN 0893-6080

Summary: We discuss dynamics of Cohen-Grossberg neural networks with discontinuous activations functions. We provide a relax set of sufficient conditions based on the concept of Lyapunov diagonal stability for Cohen-Grossberg networks to be absolutely stable. Moreover, under certain conditions we prove that the system is exponentially stable globally or convergent globally in finite time. Convergence rate for global exponential convergence and convergence time for global convergence in finite time are also provided.

MSC 2000:: *68T05 Learning and adaptive systems

Keywords: Cohen-Grossberg neural networks; Differential inclusions; Set-valued map; Filippov solution; Lyapunov diagonally stable; Global stability

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