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Neural Computation

March 1, 2005, Vol. 17, No. 3, Pages 515-525
(doi: 10.1162/0899766053019926)
© 2005 Massachusetts Institute of Technology
On Convergence Conditions of an Extended Projection Neural Network
Article PDF (93.9 KB)
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.