Further results on stability and stabilization of T-S fuzzy neutral systems with time-varying delays using delay dividing approach

Min Kook Song; Jin Bae Park; Young Hoon Joo

doi:10.1142/S0219843614420079

Further results on stability and stabilization of T-S fuzzy neutral systems with time-varying delays using delay dividing approach

Min Kook Song, Jin Bae Park, Young Hoon Joo

Department of Electrical and Electronic Engineering

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

1 Citation (Scopus)

Abstract

This paper is concerned with the stability and the stabilization problem for Takagi-Sugeno (T-S) fuzzy systems with neutral time delays. The sufficient stability conditions are derived using novel Lyapunov-Krasovskii functionals (LKFs). The stability conditions are expressed as linear matrix inequalities (LMIs) and hence easily tractable numerically. These conditions are easily extended to the sufficient conditions for the existence of stabilizing state-feedback fuzzy gains for T-S fuzzy neutral systems with time-varying delays. An example is given to illustrate the effectiveness of the proposed methods.

Original language	English
Article number	1442007
Journal	International Journal of Humanoid Robotics
Volume	11
Issue number	4
DOIs	https://doi.org/10.1142/S0219843614420079
Publication status	Published - 2014 Dec 16

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (NRF-2012R1A2A2A01014088) and the Human Resources Development program (No. 20124030200040/2) of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government Ministry of Trade, Industry and Energy.

Publisher Copyright:
© 2014 World Scientific Publishing Company.

All Science Journal Classification (ASJC) codes

Mechanical Engineering
Artificial Intelligence

Access to Document

10.1142/S0219843614420079

Cite this

@article{7d3925d3a7ec4abf882f25b7194833da,

title = "Further results on stability and stabilization of T-S fuzzy neutral systems with time-varying delays using delay dividing approach",

abstract = "This paper is concerned with the stability and the stabilization problem for Takagi-Sugeno (T-S) fuzzy systems with neutral time delays. The sufficient stability conditions are derived using novel Lyapunov-Krasovskii functionals (LKFs). The stability conditions are expressed as linear matrix inequalities (LMIs) and hence easily tractable numerically. These conditions are easily extended to the sufficient conditions for the existence of stabilizing state-feedback fuzzy gains for T-S fuzzy neutral systems with time-varying delays. An example is given to illustrate the effectiveness of the proposed methods.",

author = "Song, {Min Kook} and Park, {Jin Bae} and Joo, {Young Hoon}",

note = "Funding Information: This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (NRF-2012R1A2A2A01014088) and the Human Resources Development program (No. 20124030200040/2) of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government Ministry of Trade, Industry and Energy. Publisher Copyright: {\textcopyright} 2014 World Scientific Publishing Company.",

year = "2014",

month = dec,

day = "16",

doi = "10.1142/S0219843614420079",

language = "English",

volume = "11",

journal = "International Journal of Humanoid Robotics",

issn = "0219-8436",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

TY - JOUR

T1 - Further results on stability and stabilization of T-S fuzzy neutral systems with time-varying delays using delay dividing approach

AU - Song, Min Kook

AU - Park, Jin Bae

AU - Joo, Young Hoon

N1 - Funding Information: This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (NRF-2012R1A2A2A01014088) and the Human Resources Development program (No. 20124030200040/2) of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government Ministry of Trade, Industry and Energy. Publisher Copyright: © 2014 World Scientific Publishing Company.

PY - 2014/12/16

Y1 - 2014/12/16

N2 - This paper is concerned with the stability and the stabilization problem for Takagi-Sugeno (T-S) fuzzy systems with neutral time delays. The sufficient stability conditions are derived using novel Lyapunov-Krasovskii functionals (LKFs). The stability conditions are expressed as linear matrix inequalities (LMIs) and hence easily tractable numerically. These conditions are easily extended to the sufficient conditions for the existence of stabilizing state-feedback fuzzy gains for T-S fuzzy neutral systems with time-varying delays. An example is given to illustrate the effectiveness of the proposed methods.

AB - This paper is concerned with the stability and the stabilization problem for Takagi-Sugeno (T-S) fuzzy systems with neutral time delays. The sufficient stability conditions are derived using novel Lyapunov-Krasovskii functionals (LKFs). The stability conditions are expressed as linear matrix inequalities (LMIs) and hence easily tractable numerically. These conditions are easily extended to the sufficient conditions for the existence of stabilizing state-feedback fuzzy gains for T-S fuzzy neutral systems with time-varying delays. An example is given to illustrate the effectiveness of the proposed methods.

UR - http://www.scopus.com/inward/record.url?scp=84929380023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929380023&partnerID=8YFLogxK

U2 - 10.1142/S0219843614420079

DO - 10.1142/S0219843614420079

M3 - Article

AN - SCOPUS:84929380023

SN - 0219-8436

VL - 11

JO - International Journal of Humanoid Robotics

JF - International Journal of Humanoid Robotics

IS - 4

M1 - 1442007

ER -

Further results on stability and stabilization of T-S fuzzy neutral systems with time-varying delays using delay dividing approach

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this