Stability and stabilization of T-S fuzzy systems with time-varying delays via augmented Lyapunov-Krasovskii functionals

O. M. Kwon; M. J. Park; Ju H. Park; S. M. Lee

doi:10.1016/j.ins.2016.08.026

Stability and stabilization of T-S fuzzy systems with time-varying delays via augmented Lyapunov-Krasovskii functionals

O. M. Kwon, M. J. Park, Ju H. Park, S. M. Lee

School of Electronics Engineering

Research output: Contribution to journal › Article › peer-review

214 Scopus citations

Abstract

This paper is concerned with the problem of stability and stabilization for Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing a suitable Lyapunov-Krasovskii functional, sufficient conditions for ensuring the asymptotic stability and stabilization of the concerned fuzzy systems have been derived within the framework of linear matrix inequalities (LMIs). The advantage and effectiveness of the proposed criteria will be shown through the comparison of maximum delay bounds with some results obtained by recently published papers via four numerical examples.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Information Sciences
Volume	372
DOIs	https://doi.org/10.1016/j.ins.2016.08.026
State	Published - 1 Dec 2016

Keywords

Fuzzy systems
Lyapunov method
Stability analysis
Stabilization
Time-varying delays

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10.1016/j.ins.2016.08.026

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abstract = "This paper is concerned with the problem of stability and stabilization for Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing a suitable Lyapunov-Krasovskii functional, sufficient conditions for ensuring the asymptotic stability and stabilization of the concerned fuzzy systems have been derived within the framework of linear matrix inequalities (LMIs). The advantage and effectiveness of the proposed criteria will be shown through the comparison of maximum delay bounds with some results obtained by recently published papers via four numerical examples.",

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AU - Lee, S. M.

PY - 2016/12/1

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AB - This paper is concerned with the problem of stability and stabilization for Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. By constructing a suitable Lyapunov-Krasovskii functional, sufficient conditions for ensuring the asymptotic stability and stabilization of the concerned fuzzy systems have been derived within the framework of linear matrix inequalities (LMIs). The advantage and effectiveness of the proposed criteria will be shown through the comparison of maximum delay bounds with some results obtained by recently published papers via four numerical examples.

KW - Fuzzy systems

KW - Lyapunov method

KW - Stability analysis

KW - Stabilization

KW - Time-varying delays

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JF - Information Sciences

ER -

Stability and stabilization of T-S fuzzy systems with time-varying delays via augmented Lyapunov-Krasovskii functionals

Abstract

Keywords

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