A Lyapunov matrix based stability criterion for a class of time-delay systems

Vestnik of Saint Petersburg University Applied Mathematics Computer Science Control Processes ◽

10.21638/11701/spbu10.2017.407 ◽

2017 ◽

Vol 13 (4) ◽

pp. 407-416

Author(s):

Marco Gomez ◽

◽

Alexey V. Egorov ◽

Sabine Mondié ◽

◽

...

Keyword(s):

Stability Criterion ◽

Delay Systems ◽

Time Delay Systems ◽

Lyapunov Matrix

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Frequency delay‐dependent stability criterion for time‐delay systems thanks to Fourier–Legendre remainders

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5575 ◽

2021 ◽

Author(s):

Mathieu Bajodek ◽

Frédéric Gouaisbaut ◽

Alexandre Seuret

Keyword(s):

Stability Criterion ◽

Delay Systems ◽

Time Delay Systems ◽

Delay Dependent ◽

Delay Dependent Stability

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Hierarchy of stability criterion for time-delay systems based on multiple integral approach

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.016 ◽

2017 ◽

Vol 314 ◽

pp. 422-428 ◽

Author(s):

Zhanshan Wang ◽

Sanbo Ding ◽

Huaguang Zhang

Keyword(s):

Stability Criterion ◽

Multiple Integral ◽

Delay Systems ◽

Integral Approach ◽

Time Delay Systems

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Argument-increment based stability criterion for neutral time delay systems

2008 16th Mediterranean Conference on Control and Automation ◽

10.1109/med.2008.4602199 ◽

2008 ◽

Author(s):

P. Zitek ◽

T. Vyhlidal

Keyword(s):

Stability Criterion ◽

Delay Systems ◽

Time Delay Systems

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Delay-range-dependent stability criterion for interval time-delay systems with nonlinear perturbations

International Journal of Automation and Computing ◽

10.1007/s11633-010-0566-9 ◽

2011 ◽

Vol 8 (1) ◽

pp. 141-146 ◽

Author(s):

K. Ramakrishnan ◽

G. Ray

Keyword(s):

Stability Criterion ◽

Delay Systems ◽

Time Delay Systems ◽

Nonlinear Perturbations ◽

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LMI stability criterion with less variables for time-delay systems

International Journal of Control Automation and Systems ◽

10.1007/s12555-009-0404-4 ◽

2009 ◽

Vol 7 (4) ◽

pp. 530-535 ◽

Author(s):

Xun-Lin Zhu ◽

Guang-Hong Yang ◽

Tao Li ◽

Chong Lin ◽

Lei Guo

Keyword(s):

Stability Criterion ◽

Delay Systems ◽

Time Delay Systems

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Stability analysis of time-delay systems via Nyquist stability criterion and multidimensional systems theory

[Proceedings] 1992 IEEE International Symposium on Circuits and Systems ◽

10.1109/iscas.1992.230154 ◽

2003 ◽

Author(s):

N. Matsumoto ◽

S. Yashiki ◽

K. Sakai

Keyword(s):

Stability Analysis ◽

Systems Theory ◽

Stability Criterion ◽

Multidimensional Systems ◽

Delay Systems ◽

Time Delay Systems ◽

Nyquist Stability ◽

Nyquist Stability Criterion

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A graphic stability criterion for non-commensurate fractional-order time-delay systems

Nonlinear Dynamics ◽

10.1007/s11071-014-1580-1 ◽

2014 ◽

Vol 78 (3) ◽

pp. 2101-2111 ◽

Author(s):

Zhe Gao

Keyword(s):

Fractional Order ◽

Stability Criterion ◽

Delay Systems ◽

Time Delay Systems

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A criterion of existence and uniqueness of the Lyapunov matrix for a class of time delay systems

Vestnik of Saint Petersburg University Applied Mathematics Computer Science Control Processes ◽

10.21638/11701/spbu10.2016.202 ◽

2016 ◽

pp. 12-25

Author(s):

Alexey V. Egorov ◽

Keyword(s):

Existence And Uniqueness ◽

Delay Systems ◽

Time Delay Systems ◽

Lyapunov Matrix

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An enhanced stability criterion for time-delay systems via a new bounding technique

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2015.06.023 ◽

2015 ◽

Vol 352 (10) ◽

pp. 4407-4422 ◽

Author(s):

Le Van Hien ◽

Hieu Trinh

Keyword(s):

Stability Criterion ◽

Delay Systems ◽

Time Delay Systems ◽

Enhanced Stability

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Exponential stability criterion for time delay systems with nonlinear uncertainties

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.03.013 ◽

2007 ◽

Author(s):

Nguyen Thi Thuy

Keyword(s):

Exponential Stability ◽

Stability Criterion ◽

Delay Systems ◽

Time Delay Systems ◽

Nonlinear Uncertainties

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