Exponential H∞ stable learning method for Takagi‐Sugeno fuzzy delayed neural networks: A convex optimization approach

Exponential H∞ stable learning method for Takagi‐Sugeno fuzzy delayed neural networks: A convex optimization approach

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Article ID: iaor20121959
Volume: 63
Issue: 5
Start Page Number: 887
End Page Number: 895
Publication Date: Mar 2012
Journal: Computers and Mathematics with Applications
Authors:
Keywords: neural networks, learning, matrices
Abstract:

In this paper, we propose some new results on stability for Takagi–Sugeno fuzzy delayed neural networks with a stable learning method. Based on the Lyapunov–Krasovskii approach, for the first time, a new learning method is presented to not only guarantee the exponential stability of Takagi–Sugeno fuzzy neural networks with time‐delay, but also reduce the effect of external disturbance to a prescribed attenuation level. The proposed learning method can be obtained by solving a convex optimization problem which is represented in terms of a set of linear matrix inequalities (LMIs). An illustrative example is given to demonstrate the effectiveness of the proposed learning method.

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