2 learning of dynamic neural networks

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Abstract

This paper proposes an ℒ2 learning law as a new learning method for dynamic neural networks with external disturbance. Based on linear matrix inequality (LMI) formulation, the ℒ2 learning law is presented to not only guarantee asymptotical stability of dynamic neural networks but also reduce the effect of external disturbance to an ℒ2 induced norm constraint. It is shown that the design of the ℒ2 learning law for such neural networks can be achieved by solving LMIs, which can be easily facilitated by using some standard numerical packages. A numerical example is presented to demonstrate the validity of the proposed learning law.

Original languageEnglish
Article number100201
JournalChinese Physics B
Volume19
Issue number10
DOIs
Publication statusPublished - 2010 Oct 1
Externally publishedYes

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Keywords

  • ℒ ℒ learning law
  • Dynamic neural networks
  • Linear matrix inequality
  • Lyapunov stability theory

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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