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

Hiroshi SHINOZAKI; Takehiro MORI

doi:10.1587/transfun.e92.a.3376

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 ◽

Time Delay ◽

Linear Time ◽

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems

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DELAY-DEPENDENT STABILITY ANALYSIS OF LINEAR TIME DELAY SYSTEMS

IFAC Proceedings Volumes ◽

10.3182/20060710-3-it-4901.00010 ◽

2006 ◽

Vol 39 (10) ◽

pp. 54-59 ◽

Cited By ~ 86

Author(s):

Frédéric Gouaisbaut ◽

Dimitri Peaucelle

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Linear Time ◽

Delay Systems ◽

Time Delay Systems ◽

Delay Dependent ◽

Delay Dependent Stability

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Recent Results on Time-Delay Systems - Advances in Delays and Dynamics ◽

10.1007/978-3-319-26369-4_4 ◽

2016 ◽

pp. 69-87

Author(s):

Alexey P. Zhabko ◽

Irina V. Medvedeva

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Linear Time ◽

Delay Systems ◽

Time Delay Systems

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

10.1109/cdc.2010.5717467 ◽

2010 ◽

Cited By ~ 1

Author(s):

Fatemeh Eghbal Sarabi ◽

Hamid Khatibi ◽

Hamid Reza Momeni

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Robust Stability ◽

Linear Time ◽

Delay Systems ◽

Time Delay Systems ◽

Robust Stability Analysis ◽

Analysis And Synthesis

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The stability analysis and planning for multivariable linear time-delay systems and its application

ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004. ◽

10.1109/icarcv.2004.1469306 ◽

2005 ◽

Author(s):

Xu Jianjun ◽

Duan Yubo ◽

Yan Limei ◽

Wang Qiong

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Linear Time ◽

Delay Systems ◽

Time Delay Systems ◽

The Stability

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Stability analysis of linear time-delay systems subject to input saturation

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications ◽

10.1109/81.983870 ◽

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Vol 49 (2) ◽

pp. 233-240 ◽

Cited By ~ 168

Author(s):

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Zongli Lin ◽

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Keyword(s):

Stability Analysis ◽

Time Delay ◽

Linear Time ◽

Input Saturation ◽

Delay Systems ◽

Time Delay Systems

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Comment on ‘Stability analysis and controller synthesis for discrete linear time-delay systems with state saturation nonlinearities’

International Journal of Systems Science ◽

10.1080/00207721.2013.879235 ◽

2014 ◽

Vol 46 (15) ◽

pp. 2818-2819 ◽

Cited By ~ 3

Author(s):

Siva Kumar Tadepalli ◽

V. Krishna Rao Kandanvli ◽

Haranath Kar

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Linear Time ◽

Controller Synthesis ◽

Delay Systems ◽

Time Delay Systems ◽

State Saturation

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Exponential stability analysis and stabilization for discrete positive switched linear time-delay systems with ADT

Journal of Physics Conference Series ◽

10.1088/1742-6596/1324/1/012029 ◽

2019 ◽

Vol 1324 ◽

pp. 012029

Author(s):

Binbin Du ◽

Shuyan Hao ◽

Chao Lv

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Exponential Stability ◽

Linear Time ◽

Delay Systems ◽

Time Delay Systems

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

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10.1109/acc.2005.1470652 ◽

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Cited By ~ 2

Author(s):

Chyi Hwang ◽

Yi-Cheng Cheng

Keyword(s):

Stability Analysis ◽

Time Delay ◽

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

Automatica ◽

10.1016/j.automatica.2015.01.016 ◽

2015 ◽

Vol 53 ◽

pp. 339-345 ◽

Cited By ~ 16

Author(s):

Rudy Cepeda-Gomez ◽

Wim Michiels

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Delay Systems ◽

Lambert W Function ◽

Time Delay Systems ◽

Special Cases ◽

The Matrix ◽

The Stability

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Improved delay-dependent stability analysis for linear time-delay systems: Based on homogeneous polynomial Lyapunov–Krasovskii functional method

Neurocomputing ◽

10.1016/j.neucom.2016.02.025 ◽

2016 ◽

Vol 193 ◽

pp. 176-180 ◽

Cited By ~ 5

Author(s):

Huasheng Zhang ◽

Jianwei Xia ◽

Guangming Zhuang

Keyword(s):

Stability Analysis ◽

Time Delay ◽

Homogeneous Polynomial ◽

Linear Time ◽

Functional Method ◽

Delay Systems ◽

Time Delay Systems ◽

Delay Dependent ◽

Delay Dependent Stability

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