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Nonlinear measure approach for the robust exponential stability analysis of interval inertial Cohen–Grossberg neural networks

  • Ruoxia Li
  • , Jinde Cao
  • , Ahmed Alsaedi
  • , Bashir Ahmad
  • , Fuad E. Alsaadi
  • , Tasawar Hayat
  • Southeast University, Nanjing
  • Faculty of Sciences, King Abdulaziz University
  • King Abdulaziz University
  • Faculty of Engineering, King Abdulaziz University
  • Quaid-I-Azam University

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

This article is concerned with the existence and robust stability of an equilibrium point that related to interval inertial Cohen–Grossberg neural networks. Such condition requires the existence of an equilibrium point to a given system, so the existence and uniqueness of the equilibrium point are emerged via nonlinear measure method. Furthermore, with the help of Halanay inequality lemma, differential mean value theorem as well as inequality technique, several sufficient criteria are derived to ascertain the robust stability of the equilibrium point for the addressed system. The results obtained in this article will be shown to be new and they can be considered alternative results to previously results. Finally, the effectiveness and computational issues of the two models for the analysis are discussed by two examples.

Original languageEnglish
Pages (from-to)459-469
Number of pages11
JournalComplexity
Volume21
DOIs
StatePublished - 1 Nov 2016
Externally publishedYes

Keywords

  • Halanay inequality
  • inertial term
  • interval Cohen–Grossberg neural networks
  • nonlinear measure
  • robust stability

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