Stability of Linear Systems With Time-Varying Delay: a Generalized Discretized Lyapunov Functional Approach

Asian Journal of Control ◽

10.1111/j.1934-6093.2001.tb00056.x ◽

2008 ◽

Vol 3 (3) ◽

pp. 170-180 ◽

Author(s):

Qing-Long Han ◽

Keqin Gu

Keyword(s):

Linear Systems ◽

Lyapunov Functional ◽

Functional Approach ◽

Time Varying ◽

Time Varying Delay ◽

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Augmented Lyapunov functional approach for linear systems with time-varying delay

2012 International Conference on System Science and Engineering (ICSSE) ◽

10.1109/icsse.2012.6257168 ◽

2012 ◽

Author(s):

Bin Yang ◽

Weina Zhao

Keyword(s):

Linear Systems ◽

Lyapunov Functional ◽

Functional Approach ◽

Time Varying ◽

Time Varying Delay ◽

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Stability criteria for T-S fuzzy systems with time-varying delay: A fuzzy line-integral Lyapunov functional approach

2017 36th Chinese Control Conference (CCC) ◽

10.23919/chicc.2017.8028012 ◽

2017 ◽

Author(s):

Zhicheng Song ◽

Xian Zhang ◽

Xin Wang ◽

Yu Xue

Keyword(s):

Fuzzy Systems ◽

Lyapunov Functional ◽

Functional Approach ◽

Time Varying ◽

Stability Criteria ◽

Line Integral ◽

Time Varying Delay ◽

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Matrix quadratic convex combination for stability of linear systems with time-varying delay via new augmented Lyapunov functional

2016 12th World Congress on Intelligent Control and Automation (WCICA) ◽

10.1109/wcica.2016.7578791 ◽

2016 ◽

Author(s):

Feisheng Yang ◽

Jing He ◽

Lei Li

Keyword(s):

Linear Systems ◽

Lyapunov Functional ◽

Convex Combination ◽

Time Varying ◽

Time Varying Delay ◽

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Linear Matrix Inequality Stability Conditions from a Parameter-Dependent Lyapunov Functional for Linear Systems with a Time-Varying Delay

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering ◽

10.1243/09596518jsce875 ◽

2010 ◽

Vol 224 (6) ◽

pp. 701-712 ◽

Author(s):

I-K Fong ◽

C-P Lin ◽

J-S Huang

Keyword(s):

Linear Matrix Inequality ◽

Linear Systems ◽

Lyapunov Functional ◽

Linear Matrix ◽

Stability Conditions ◽

Time Varying ◽

Matrix Inequality ◽

Time Varying Delay ◽

Parameter Dependent ◽

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Augmented Lyapunov functional for the calculation of stability interval for time-varying delay

IET Control Theory and Applications ◽

10.1049/iet-cta:20060216 ◽

2007 ◽

Vol 1 (1) ◽

pp. 381-386 ◽

Author(s):

Y. He ◽

G.P. Liu ◽

D. Rees

Keyword(s):

Lyapunov Functional ◽

Time Varying ◽

Time Varying Delay ◽

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On designing memory state feedback controller for linear systems with interval time-varying delay

Journal of Control Theory and Applications ◽

10.1007/s11768-010-8183-2 ◽

2010 ◽

Vol 8 (4) ◽

pp. 479-484 ◽

Author(s):

Xiangpeng Xie ◽

Huaguang Zhang ◽

Tao Liu

Keyword(s):

Linear Systems ◽

State Feedback ◽

Feedback Controller ◽

Time Varying ◽

Memory State ◽

Interval Time ◽

State Feedback Controller ◽

Time Varying Delay ◽

Memory State Feedback ◽

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Dynamic event‐triggered control for Markovian jump linear systems with time‐varying delay

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5954 ◽

2021 ◽

Author(s):

Hui Zhao ◽

Weidong Li ◽

Zhicheng Li ◽

Yu Ren

Keyword(s):

Linear Systems ◽

Time Varying ◽

Markovian Jump ◽

Jump Linear Systems ◽

Time Varying Delay ◽

Dynamic Event ◽

Markovian Jump Linear Systems ◽

Varying Delay ◽

Event Triggered

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Non-fragile dynamic output feedback control for linear systems with time-varying delay

IET Control Theory and Applications ◽

10.1049/iet-cta.2008.0008 ◽

2009 ◽

Vol 3 (8) ◽

pp. 995-1005 ◽

Author(s):

L. Li ◽

Y. Jia

Keyword(s):

Feedback Control ◽

Linear Systems ◽

Output Feedback ◽

Output Feedback Control ◽

Dynamic Output Feedback ◽

Time Varying ◽

Time Varying Delay ◽

Dynamic Output ◽

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Fault estimation for a class of interconnected non-linear systems with time-varying delay using robust adaptive unknown input observers

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnw046 ◽

2016 ◽

pp. dnw046

Author(s):

Maryam Kazerooni ◽

Alireza Khayatian ◽

Aliakbar Safavi

Keyword(s):

Linear Systems ◽

Fault Estimation ◽

Unknown Input ◽

Time Varying ◽

Time Varying Delay ◽

Unknown Input Observers ◽

Non Linear Systems ◽

Robust Adaptive ◽

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Delay-Dependent and Order-Dependent Stability and Stabilization of Fractional-Order Linear Systems With Time-Varying Delay

IEEE Transactions on Circuits & Systems II Express Briefs ◽

10.1109/tcsii.2019.2926135 ◽

2020 ◽

Vol 67 (6) ◽

pp. 1064-1068 ◽

Author(s):

Liping Chen ◽

Ranchao Wu ◽

Yuan Cheng ◽

YangQuan Chen

Keyword(s):

Linear Systems ◽

Fractional Order ◽

Time Varying ◽

Order Linear ◽

Time Varying Delay ◽

Stability And Stabilization ◽

Delay Dependent ◽

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