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

doi:10.1088/1674-1056/21/7/070207

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.

Keywords: neutral neural networks linear matrix inequality Lyapunov stability time varying delays

Received: 26 September 2011
Accepted manuscript online:

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

Corresponding Authors: M. Syed Ali
E-mail: syedgru@gmail.com

Cite this article:

M. Syed Ali Novel delay dependent stability analysis of Takagi–Sugeno fuzzy uncertain neural networks with time varying delays 2012 Chin. Phys. B 21 070207

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

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