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(Neural Computation. 2005;17:515-525.)
© 2005 The MIT Press

Note

On Convergence Conditions of an Extended Projection Neural Network

Youshen Xia

ysxia2001{at}yahoo.com, Department of Applied Mathematics, Nanjing University of Posts and Telecommunications, China

Gang Feng

Department of Manufacturing Engg. and Engg. Management, The City University of Hong Kong, Hong Kong, China

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.






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Copyright © 2005 by The MIT Press.