Lambert W function approach to analysis and stabilization of time-delay systems

Control Strategy for Time-Delay Systems ◽

10.1016/b978-0-12-820599-0.00014-8 ◽

2021 ◽

pp. 315-346

Author(s):

Niraj Choudhary ◽

S. Janardhanan ◽

Indra Narayan Kar

Keyword(s):

Function Approach ◽

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems

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The Lambert W Function Approach to Time Delay Systems and the LambertW_DDE Toolbox

IFAC Proceedings Volumes ◽

10.3182/20120622-3-us-4021.00008 ◽

2012 ◽

Vol 45 (14) ◽

pp. 114-119 ◽

Author(s):

S. Yi ◽

S. Duan ◽

P.W. Nelson ◽

A.G. Ulsoy

Keyword(s):

Function Approach ◽

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems

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A Lambert W function approach for decay function estimation in linear time delay systems

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

10.1109/cdc.2010.5717877 ◽

2010 ◽

Author(s):

Shiming Duan ◽

Jun Ni ◽

A. Galip Ulsoy

Keyword(s):

Linear Time ◽

Function Approach ◽

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems ◽

Function Estimation ◽

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Boundary Implications for Stability Analysis of a Class of Uncertain Linear Time-Delay Systems by the Lambert W Function

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e92.a.3376 ◽

2009 ◽

Vol E92-A (12) ◽

pp. 3376-3380

Author(s):

Hiroshi SHINOZAKI ◽

Takehiro MORI

Keyword(s):

Stability Analysis ◽

Linear Time ◽

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems

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Some results of finding the roots of time-delay systems by Lambert W function

2021 IEEE International Conference on Power Electronics, Computer Applications (ICPECA) ◽

10.1109/icpeca51329.2021.9362669 ◽

2021 ◽

Author(s):

Fang Bin ◽

Peng Fuming

Keyword(s):

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems

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The Lambert W function and the spectrum of some multidimensional time-delay systems

10.1016/j.automatica.2007.04.001 ◽

2007 ◽

Vol 43 (12) ◽

pp. 2124-2128 ◽

Author(s):

Elias Jarlebring ◽

Tobias Damm

Keyword(s):

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems

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Parameter-dependent Lyapunov function approach to robust filter design for uncertain time-delay systems

Signal Processing ◽

10.1016/j.sigpro.2010.07.011 ◽

2011 ◽

Vol 91 (2) ◽

pp. 323-329 ◽

Author(s):

Hyoun-Chul Choi ◽

Soohee Han ◽

Jin Heon Seo

Keyword(s):

Lyapunov Function ◽

Filter Design ◽

Function Approach ◽

Delay Systems ◽

Time Delay Systems ◽

Uncertain Time ◽

Parameter Dependent

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Robust L2 – L∞ filter design with Parameter dependent Lyapunov function approach for polytopic time-delay systems

2014 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA) ◽

10.1109/sta.2014.7086791 ◽

2014 ◽

Author(s):

A. Hmamed ◽

T. Zoulagh ◽

A. EL Hajjaji

Keyword(s):

Lyapunov Function ◽

Filter Design ◽

Function Approach ◽

Delay Systems ◽

Time Delay Systems ◽

Parameter Dependent

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Use of lambert w function to stability analysis of time-delay systems

Proceedings of the 2005, American Control Conference, 2005. ◽

10.1109/acc.2005.1470652 ◽

2005 ◽

Author(s):

Chyi Hwang ◽

Yi-Cheng Cheng

Keyword(s):

Stability Analysis ◽

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems

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Some special cases in the stability analysis of multi-dimensional time-delay systems using the matrix Lambert W function

10.1016/j.automatica.2015.01.016 ◽

2015 ◽

Vol 53 ◽

pp. 339-345 ◽

Author(s):

Rudy Cepeda-Gomez ◽

Wim Michiels

Keyword(s):

Stability Analysis ◽

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems ◽

Special Cases ◽

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Eigenvalue Assignment via the Lambert W Function for Control of Time-Delay Systems

Time-Delay Systems ◽

10.1142/9789814307406_0005 ◽

2010 ◽

pp. 57-74

Keyword(s):

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems ◽

Eigenvalue Assignment

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