ICANN ’93 pp 704-706 | Cite as

A Novel Liapunov Function for Additive Neural Networks

  • Alexander N. Jourjine
Conference paper


Using the properties of nonlinear integral equations of the Hammerstein type, it is proven that a new Liapunov function for additive neural networks exists, provided two conditions on symmetry and positivity of the weight matrix hold. The function does not require monotonicity of the transfer function.


Transfer Function Symmetric Part Absolute Stability Mathematical Literature Nonlinear Integral Equation 
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Copyright information

© Springer-Verlag London Limited 1993

Authors and Affiliations

  • Alexander N. Jourjine
    • 1
  1. 1.Wang LaboratoriesAdvanced TechnologyLowellUSA

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