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Passive and exponential filter design for fuzzy neural networks

Authors
Ahn, Choon Ki
Issue Date
20-Jul-2013
Publisher
ELSEVIER SCIENCE INC
Keywords
Passive filter; Exponential filter; Takagi-Sugeno fuzzy Hopfield neural networks; Linear matrix inequality (LMI); Lyapunov-Krasovskii stability theory
Citation
INFORMATION SCIENCES, v.238, pp.126 - 137
Indexed
SCIE
SCOPUS
Journal Title
INFORMATION SCIENCES
Volume
238
Start Page
126
End Page
137
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/102687
DOI
10.1016/j.ins.2013.03.004
ISSN
0020-0255
Abstract
This paper proposes a new passive and exponential filter for Takagi-Sugeno fuzzy Hopfield neural networks, with time delay and external disturbance. Based on the Lyapunov-Krasovskii stability theory, Jensen's inequality, and linear matrix inequality (LMI), a new delay-dependent criterion is proposed such that the filtering error system becomes exponentially stable and passive from the external disturbance to the output error. The proposed filter can be obtained by solving the LMI, which can be easily facilitated using standard numerical packages. Two numerical examples are given to illustrate the effectiveness of the proposed filter. (C) 2013 Elsevier Inc. All rights reserved.
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