Robust stability of recurrent neural networks with ISS learning algorithm

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16 Citations (Scopus)

Abstract

In this paper, an input-to-state stability (ISS) approach is used to derive a new robust weight learning algorithm for dynamic neural networks with external disturbance. Based on linear matrix inequality (LMI) formulation, the ISS learning algorithm is presented to not only guarantee exponential stability but also reduce the effect of an external disturbance. It is shown that the design of the ISS learning algorithm can be achieved by solving LMI, which can be easily facilitated by using some standard numerical packages. A numerical example is presented to demonstrate the validity of the proposed learning algorithm.

Original languageEnglish
Pages (from-to)413-419
Number of pages7
JournalNonlinear Dynamics
Volume65
Issue number4
DOIs
Publication statusPublished - 2011 Sep
Externally publishedYes

Keywords

  • Dynamic neural networks
  • Input-to-state stability (ISS) approach
  • Linear matrix inequality (LMI)
  • Weight learning algorithm

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

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