Stability analysis of singular time-delay systems using the auxiliary function-based double integral inequalities

International Journal of Systems Science ◽

10.1080/00207721.2021.1871983 ◽

2021 ◽

pp. 1-14

Author(s):

Thi Hiep Luu ◽

Phan Thanh Nam

Keyword(s):

Stability Analysis ◽

Auxiliary Function ◽

Integral Inequalities ◽

Delay Systems ◽

Time Delay Systems ◽

Double Integral ◽

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A generalized double integral inequalities approach to stability analysis for time-delay systems

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2017.02.029 ◽

2017 ◽

Vol 354 (8) ◽

pp. 3455-3471 ◽

Author(s):

Zhichen Li ◽

Yan Bai ◽

Congzhi Huang ◽

Huaicheng Yan

Keyword(s):

Stability Analysis ◽

Integral Inequalities ◽

Delay Systems ◽

Time Delay Systems ◽

Double Integral

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New Weighted Integral Inequalities and Its Application to Exponential Stability Analysis of Time-Delay Systems

IEEE Access ◽

10.1109/access.2016.2613112 ◽

2016 ◽

Vol 4 ◽

pp. 6231-6237 ◽

Author(s):

Cheng Gong ◽

Guopu Zhu ◽

Ligang Wu

Keyword(s):

Stability Analysis ◽

Exponential Stability ◽

Integral Inequalities ◽

Delay Systems ◽

Time Delay Systems ◽

Weighted Integral

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New stability analysis for discrete time-delay systems via auxiliary-function-based summation inequalities

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2016.07.011 ◽

2016 ◽

Vol 353 (18) ◽

pp. 5068-5080 ◽

Author(s):

PooGyeon Park ◽

Seok Young Lee ◽

Won Il Lee

Keyword(s):

Stability Analysis ◽

Discrete Time ◽

Auxiliary Function ◽

Delay Systems ◽

Time Delay Systems ◽

Discrete Time Delay

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Single/Multiple Integral Inequalities With Applications to Stability Analysis of Time-Delay Systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2016.2617739 ◽

2017 ◽

Vol 62 (7) ◽

pp. 3488-3493 ◽

Author(s):

Jun Chen ◽

Shengyuan Xu ◽

Baoyong Zhang

Keyword(s):

Stability Analysis ◽

Multiple Integral ◽

Integral Inequalities ◽

Delay Systems ◽

Time Delay Systems

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Stability Analysis for Time-delay Systems with Nonlinear Disturbances via New Generalized Integral Inequalities

International Journal of Control Automation and Systems ◽

10.1007/s12555-018-0266-8 ◽

2018 ◽

Vol 16 (6) ◽

pp. 2772-2780 ◽

Author(s):

Bin Wu ◽

Chang-Long Wang ◽

Yong-Jiang Hu ◽

Xiao-Lin Ma

Keyword(s):

Stability Analysis ◽

Integral Inequalities ◽

Delay Systems ◽

Time Delay Systems ◽

Nonlinear Disturbances ◽

Generalized Integral Inequalities

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Stability analysis of uncertain switched singular time-delay systems with discrete and distributed delays

Optimal Control Applications and Methods ◽

10.1002/oca.2097 ◽

2013 ◽

Vol 36 (1) ◽

pp. 1-28 ◽

Author(s):

Iman Zamani ◽

Masoud Shafiee

Keyword(s):

Stability Analysis ◽

Distributed Delays ◽

Delay Systems ◽

Time Delay Systems ◽

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Stability analysis of hybrid switched nonlinear singular time-delay systems with stable and unstable subsystems

International Journal of Systems Science ◽

10.1080/00207721.2012.745026 ◽

2013 ◽

Vol 45 (5) ◽

pp. 1128-1144 ◽

Author(s):

Iman Zamani ◽

Masoud Shafiee ◽

Asier Ibeas

Keyword(s):

Stability Analysis ◽

Delay Systems ◽

Time Delay Systems ◽

Unstable Subsystems ◽

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Stability Analysis of Distributed Time-Delay Systems Based on Improved Free-Matrix-Based Double Integral Inequality

2019 IEEE 3rd Information Technology, Networking, Electronic and Automation Control Conference (ITNEC) ◽

10.1109/itnec.2019.8728982 ◽

2019 ◽

Author(s):

Haisheng Tian ◽

Deren Gong ◽

Wang Nan ◽

Dengping Duan

Keyword(s):

Stability Analysis ◽

Integral Inequality ◽

Delay Systems ◽

Time Delay Systems ◽

Double Integral ◽

Distributed Time Delay

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Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2015.01.004 ◽

2015 ◽

Vol 352 (4) ◽

pp. 1378-1396 ◽

Author(s):

PooGyeon Park ◽

Won Il Lee ◽

Seok Young Lee

Keyword(s):

Auxiliary Function ◽

Quadratic Functions ◽

Integral Inequalities ◽

Delay Systems ◽

Time Delay Systems

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Stability analysis for time delay systems via a generalized double integral inequality

AIMS Mathematics ◽

10.3934/math.2020415 ◽

2020 ◽

Vol 5 (6) ◽

pp. 6448-645

Author(s):

Junkang Tian ◽

◽

Zerong Ren ◽

Shouming Zhong ◽

Keyword(s):

Stability Analysis ◽

Integral Inequality ◽

Delay Systems ◽

Time Delay Systems ◽

Double Integral

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