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**Dynamical behaviors of Cohen-Grossberg neural networks with discontinuous activation functions.**
*(English)*
Zbl 1078.68127

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:

68T05 | Learning and adaptive systems in artificial intelligence |

### Keywords:

Cohen-Grossberg neural networks; Differential inclusions; Set-valued map; Filippov solution; Lyapunov diagonally stable; Global stability
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\textit{W. Lu} and \textit{T. Chen}, Neural Netw. 18, No. 3, 231--242 (2005; Zbl 1078.68127)

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