Xia Youshen, Feng Gang
Department of Applied Mathematics, Nanjing University of Posts and Telecommunications, China.
Neural Comput. 2005 Mar;17(3):515-25. doi: 10.1162/0899766053019926.
The output trajectory convergence of an extended projection neural network was developed under the positive definiteness condition of the Jacobian matrix of nonlinear mapping. This note offers several new convergence results. The state trajectory convergence and the output trajectory convergence of the extended projection neural network are obtained under the positive semidefiniteness condition of the Jacobian matrix. Comparison and illustrative examples demonstrate applied significance of these new results.
在非线性映射雅可比矩阵正定条件下，研究了扩展投影神经网络的输出轨迹收敛性。本注记给出了几个新的收敛结果。在雅可比矩阵半正定条件下，得到了扩展投影神经网络的状态轨迹收敛性和输出轨迹收敛性。比较和示例说明了这些新结果的应用意义。
