A structure-preserving doubling algorithm for quadratic eigenvalue problems arising from time-delay systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.09.010 ◽

2010 ◽

Vol 233 (8) ◽

pp. 1733-1745 ◽

Author(s):

Tie-xiang Li ◽

Eric King-wah Chu ◽

Wen-Wei Lin

Keyword(s):

Eigenvalue Problems ◽

Delay Systems ◽

Time Delay Systems ◽

Structure Preserving ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue

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Fast algorithms for computing the distance to instability of nonlinear eigenvalue problems, with application to time-delay systems

International Journal of Dynamics and Control ◽

10.1007/s40435-014-0059-8 ◽

2014 ◽

Author(s):

Dries Verhees ◽

Roel Van Beeumen ◽

Karl Meerbergen ◽

Nicola Guglielmi ◽

Wim Michiels

Keyword(s):

Eigenvalue Problems ◽

Fast Algorithms ◽

Delay Systems ◽

Time Delay Systems ◽

Nonlinear Eigenvalue Problems ◽

Nonlinear Eigenvalue

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Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems Arising from Vibration of Fast Trains

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/080713550 ◽

2009 ◽

Vol 30 (4) ◽

pp. 1566-1592 ◽

Author(s):

Tsung-Ming Huang ◽

Wen-Wei Lin ◽

Jiang Qian

Keyword(s):

Eigenvalue Problems ◽

Structure Preserving ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue

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Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods

SIAM Journal on Scientific Computing ◽

10.1137/s106482750139220x ◽

2003 ◽

Vol 24 (4) ◽

pp. 1283-1302 ◽

Author(s):

Tsung-Min Hwang ◽

Wen-Wei Lin ◽

Volker Mehrmann

Keyword(s):

Numerical Solution ◽

Eigenvalue Problems ◽

Structure Preserving ◽

Quadratic Eigenvalue Problems ◽

Quadratic Eigenvalue

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Structure preserving model reduction of second‐order time‐delay systems via approximate Gramians

IET Circuits Devices & Systems ◽

10.1049/iet-cds.2019.0107 ◽

2020 ◽

Vol 14 (2) ◽

pp. 130-136

Author(s):

Yao‐Lin Jiang ◽

Zhi‐Yong Qiu ◽

Ping Yang

Keyword(s):

Model Reduction ◽

Second Order ◽

Delay Systems ◽

Time Delay Systems ◽

Structure Preserving

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Robust stability analysis of time delay systems: a survey

Annual Reviews in Control ◽

10.1016/s1367-5788(99)00021-8 ◽

1999 ◽

Vol 23 (1) ◽

pp. 185-196 ◽

Author(s):

V Kharitonov

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Delay Systems ◽

Time Delay Systems ◽

Robust Stability Analysis

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Algebraic Tools for the Control and Stabilization of Time-delay Systems

Annual Reviews in Control ◽

10.1016/s1367-5788(00)00008-0 ◽

2000 ◽

Vol 24 (1) ◽

pp. 135-149 ◽

Author(s):

J Loiseau

Keyword(s):

Delay Systems ◽

Time Delay Systems

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Learning Control for Time-Delay Systems with Multi-Tasks

IEEJ Transactions on Electronics Information and Systems ◽

10.1541/ieejeiss1987.115.1_167 ◽

1995 ◽

Vol 115 (1) ◽

pp. 167-168

Author(s):

Tohru Takahashi ◽

Yoshirou Tajima ◽

Kohji Shirane ◽

Naoki Matsumoto

Keyword(s):

Learning Control ◽

Delay Systems ◽

Time Delay Systems

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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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Applying Output Feedback Integral Sliding Mode Controller to Time-Delay Systems

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e94.a.1051 ◽

2011 ◽

Vol E94-A (4) ◽

pp. 1051-1058 ◽

Author(s):

Huan-Chan TING ◽

Jeang-Lin CHANG ◽

Yon-Ping CHEN

Keyword(s):

Output Feedback ◽

Sliding Mode ◽

Delay Systems ◽

Sliding Mode Controller ◽

Time Delay Systems ◽

Integral Sliding Mode

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On Application of Descriptor-Variable Theory to the Investigation of Optimal Control Problems of Linear Time-Delay Systems

10.23919/acc.1989.4790544 ◽

1989 ◽

Author(s):

E. Y Ibrahim ◽

V. Lovass-Nagy ◽

R. Mukundan ◽

D.L. Powers ◽

R.J. Schilling

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Linear Time ◽

Delay Systems ◽

Control Problems ◽

Time Delay Systems ◽

Variable Theory

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