On Convergence Conditions of an Extended Projection Neural Network

Authors:
Youshen Xia;Gang Feng
Affiliations:
Department of Applied Mathematics, Nanjing University of Posts and Telecommunications, China;Department of Manufacturing Engg. and Engg. Management, The City University of Hong Kong, Hong Kong, China
Venue:
Neural Computation
Year:
2005

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Abstract

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.