Contraction Mapping Theory and Approach to LMI-Based Stability Criteria of T-S Fuzzy Impulsive Time-Delays Integrodifferential Equations
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, Banach fixed point theorem is employed to derive LMI-based exponential stability of impulsive Takagi-Sugeno (T-S) fuzzy integrodifferential equations, originated from Cohen-Grossberg Neural Networks (CGNNs).
As far as we know, Banach fixed point theorem is rarely employed to derive LMI criteria for T-S fuzzy CGNNs, and this inspires our present work.
It is worth mentioning that the conditions on the behavior functions are weaker than those of existing results, and the formulated contraction mapping and fixed point technique are different from those of previous literature.
Even a corollary of our main result improves one of existing main results due to extending linear function to nonlinear function.
Besides, the LMI-based criteria are programmable for computer MATLAB LMI toolbox.
Moreover, an analytical table and a numerical example are presented to illustrate the advantage, feasibility, and effectiveness of the proposed methods.
American Psychological Association (APA)
Rao, Ruofeng& Zhong, Shouming. 2016. Contraction Mapping Theory and Approach to LMI-Based Stability Criteria of T-S Fuzzy Impulsive Time-Delays Integrodifferential Equations. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1108613
Modern Language Association (MLA)
Rao, Ruofeng& Zhong, Shouming. Contraction Mapping Theory and Approach to LMI-Based Stability Criteria of T-S Fuzzy Impulsive Time-Delays Integrodifferential Equations. Journal of Function Spaces No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1108613
American Medical Association (AMA)
Rao, Ruofeng& Zhong, Shouming. Contraction Mapping Theory and Approach to LMI-Based Stability Criteria of T-S Fuzzy Impulsive Time-Delays Integrodifferential Equations. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1108613
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108613