Stability Analysis of Cellular Neural Networks with Time Delays
نویسنده
چکیده
Cellular Neural Networks (CNN) are artificial neural networks displaying multidimensional arrays of cells and local interconnections among the cells. Since in a CNN all the cells are identically, the qualitative behavior of the entire network can be studied via stability results obtained for the interconnected systems. The finite switching speed of amplifiers and communications time between cells of the VLSI technology CNN implementations introduce time lags that may lead to oscillations or to the instability of the network. The aim of the paper is to obtain sufficient conditions for the asymptotical stability of a cellular neural network displaying interaction delays. Within the framework of the qualitative theory of the large-scale composite systems these conditions are based on the properties of the Liapunov functions (functionals).
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