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Research of Global Asymptotic Stability for CNN Based on Quadratic Form
基于二次型的CNN全局渐近稳定性研究

Keywords: Cellular neural networks(CNN),Global asymptotic stability,Lyapunov function,Quadratic form matrix
细胞神经网络
,全局渐近稳定,Lyapunov函数,二次型矩阵

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Abstract:

Stability of cellular neural networks is significant because it has been used in a certain application areas as im}r ge processing, video communication, optimal control and so on. How to choose a reasonable template of the parameters is the key issue of stability researches. Lyapunov second method was used to analyze the global asymptotic stability of cellular neural networks, and a better I_yapunov function was constructed to receive a new sufficient condition for deter- mining the global asymptotic stability of the system. The condition improves previous results and further derives a suffi- cicnt condition when original point is equilibrium point. Numerical simulations show their effectiveness and feasibility.

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