A delayed neural network for solving linear projection equations and its analysis

作者：Liu QS^*; Cao JD; Xia YS

来源：IEEE Transactions on Neural Networks, 2005, 16(4): 834-843.

DOI：10.1109/TNN.2005.849834

• asymptotical stability
• delayed neural networks
• exponential stability
• linear matrix inequality (LMI)
• Lyapunov-Krasovskii functional
• quadratic programming

In this paper, we present a delayed neural network approach to solve linear projection equations. The Lyapunov-Krasovskii theory for functional differential equations and the linear matrix inequality (LMI) approach are employed to analyze the global asymptotic stability and global exponential stability of the delayed neural network. Compared with the existing linear projection neural network, theoretical results and illustrative examples show that the delayed neural network can effectively solve a class of linear projection equations and some quadratic programming problems.

• 出版日期2005-7
• 单位东南大学