Solvability of a Lyapunov equation for characterization of asymptotic stability of linear delay systems

2001 European Control Conference (ECC) ◽

10.23919/ecc.2001.7076391 ◽

2001 ◽

Author(s):

Pierre-Alexandre Bliman

Keyword(s):

Asymptotic Stability ◽

Lyapunov Equation ◽

Delay Systems ◽

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LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov–Krasovskii functionals

Systems & Control Letters ◽

10.1016/s0167-6911(01)00108-6 ◽

2001 ◽

Vol 43 (4) ◽

pp. 263-274 ◽

Author(s):

Pierre-Alexandre Bliman

Keyword(s):

Delay Systems ◽

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Lyapunov equation for the stability of linear delay systems of retarded and neutral type

IEEE Transactions on Automatic Control ◽

10.1109/9.983374 ◽

2002 ◽

Vol 47 (2) ◽

pp. 327-335 ◽

Author(s):

P.-A. Bliman

Keyword(s):

Neutral Type ◽

Lyapunov Equation ◽

Delay Systems ◽

Linear Delay ◽

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Characterization of kernel functions associated with operator algebraic Riccati equations for linear delay systems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(83)90029-x ◽

1983 ◽

Vol 96 (1) ◽

pp. 85-106

Author(s):

R.H Kwong

Keyword(s):

Riccati Equations ◽

Kernel Functions ◽

Delay Systems ◽

Algebraic Riccati Equations ◽

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Polyhedral approximation method for reachable sets of linear delay systems

IET Control Theory and Applications ◽

10.1049/iet-cta.2019.0841 ◽

2020 ◽

Vol 14 (12) ◽

pp. 1548-1556

Author(s):

Renhong Hu ◽

Lizhen Shao ◽

Yuhao Cong

Keyword(s):

Approximation Method ◽

Reachable Sets ◽

Delay Systems ◽

Polyhedral Approximation ◽

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Asymptotic Stability and the Lyapunov Equation for Two-Dimensional Discrete Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)60968-6 ◽

1984 ◽

Vol 17 (2) ◽

pp. 197-200

Author(s):

P. Agathoklis ◽

E.I. Jury ◽

M. Mansour

Keyword(s):

Asymptotic Stability ◽

Lyapunov Equation ◽

Discrete Systems ◽

Two Dimensional

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Explicit expressions for the ℋ2 norm of time-delay systems based on the delay Lyapunov equation

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5717782 ◽

2010 ◽

Author(s):

Elias Jarlebring ◽

Joris Vanbiervliet ◽

Wim Michiels

Keyword(s):

Lyapunov Equation ◽

Delay Systems ◽

Time Delay Systems ◽

Explicit Expressions

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On the Notion of Duality for Linear Delay Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)41123-2 ◽

1998 ◽

Vol 31 (19) ◽

pp. 25-30

Author(s):

H. Mounier ◽

J. Rudolph

Keyword(s):

Delay Systems ◽

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Asymptotic stability of linear delay differential-algebraic equations and numerical methods

Applied Numerical Mathematics ◽

10.1016/s0168-9274(97)00024-x ◽

1997 ◽

Vol 24 (2-3) ◽

pp. 247-264 ◽

Author(s):

Wenjie Zhu ◽

Linda R. Petzold

Keyword(s):

Numerical Methods ◽

Asymptotic Stability ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

Linear Delay ◽

Delay Differential

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On the passivity of linear delay systems

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334) ◽

10.1109/acc.2000.876645 ◽

2000 ◽

Author(s):

S.-I. Niculescu ◽

R. Lozano

Keyword(s):

Delay Systems ◽

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MOMENT ASYMPTOTIC STABILITY OF STOCHASTIC HYBRID DELAY SYSTEMS

IFAC Proceedings Volumes ◽

10.3182/20050703-6-cz-1902.00383 ◽

2005 ◽

Vol 38 (1) ◽

pp. 182-187

Author(s):

Chenggui Yuan ◽

John Lygeros ◽

William Glover ◽

Jan Maciejowski

Keyword(s):

Asymptotic Stability ◽

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