中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70207-070207.doi: 10.1088/1674-1056/21/7/070207

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Novel delay dependent stability analysis of Takagi–Sugeno fuzzy uncertain neural networks with time varying delays

M. Syed Ali   

  1. Department of Mathematics, Thiruvalluvar University, Vellore 632 106, Tamilnadu, India
  • 收稿日期:2011-09-26 出版日期:2012-06-01 发布日期:2012-06-01

Novel delay dependent stability analysis of Takagi–Sugeno fuzzy uncertain neural networks with time varying delays

M. Syed Ali   

  1. Department of Mathematics, Thiruvalluvar University, Vellore 632 106, Tamilnadu, India
  • Received:2011-09-26 Online:2012-06-01 Published:2012-06-01
  • Contact: M. Syed Ali E-mail:syedgru@gmail.com

摘要: This paper presents the stability analysis for a class of neural networks with time varying delays that are represented by the Takagi--Sugeno (T--S) model. The main results given here focus on the stability criteria using a new Lyapunov functional. New relaxed conditions and new linear matrix inequality-based designs are proposed that outperform the previous results found in the literature. Numerical examples are provided to show that the achieved conditions are less conservative than the existing ones in the literature.

关键词: neutral neural networks, linear matrix inequality, Lyapunov stability, time varying delays

Abstract: This paper presents the stability analysis for a class of neural networks with time varying delays that are represented by the Takagi--Sugeno (T--S) model. The main results given here focus on the stability criteria using a new Lyapunov functional. New relaxed conditions and new linear matrix inequality-based designs are proposed that outperform the previous results found in the literature. Numerical examples are provided to show that the achieved conditions are less conservative than the existing ones in the literature.

Key words: neutral neural networks, linear matrix inequality, Lyapunov stability, time varying delays

中图分类号:  (Delay and functional equations)

  • 02.30.Ks
02.30.Sa (Functional analysis) 02.60.Cb (Numerical simulation; solution of equations) 07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)