On the eigenvalue estimation for solution to Lyapunov equation

Xingdong Yang; Zhiying Ding; Jiajing Zhang; Suya Sun

doi:10.1016/j.amc.2011.01.106

On the eigenvalue estimation for solution to Lyapunov equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.01.106 ◽

2011 ◽

Vol 217 (16) ◽

pp. 6974-6980 ◽

Cited By ~ 1

Author(s):

Xingdong Yang ◽

Zhiying Ding ◽

Jiajing Zhang ◽

Suya Sun

Keyword(s):

Lyapunov Equation ◽

Eigenvalue Estimation

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On guaranteed eigenvalue estimation of compact differential operator with singularity

IEICE Proceeding Series ◽

10.15248/proc.1.812 ◽

2014 ◽

Vol 1 ◽

pp. 812-815

Author(s):

Xuefeng LIU ◽

Shin'ich OISHI

Keyword(s):

Differential Operator ◽

Eigenvalue Estimation

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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):

Time Delay ◽

Lyapunov Equation ◽

Delay Systems ◽

Time Delay Systems ◽

Explicit Expressions

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An efficient Lyapunov equation-based approach for generating reduced-order models of interconnect

Proceedings of the 36th ACM/IEEE conference on Design automation conference - DAC '99 ◽

10.1145/309847.309848 ◽

1999 ◽

Cited By ~ 31

Author(s):

Jing-Rebecca Li ◽

Frank Wang ◽

Jacob K. White

Keyword(s):

Lyapunov Equation ◽

Reduced Order Models ◽

Reduced Order

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Robust Finite-Time Zeroing Neural Networks With Fixed and Varying Parameters for Solving Dynamic Generalized Lyapunov Equation

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2021.3086500 ◽

2021 ◽

pp. 1-11

Author(s):

Qiuyue Zuo ◽

Kenli Li ◽

Lin Xiao ◽

Keqin Li

Keyword(s):

Neural Networks ◽

Finite Time ◽

Lyapunov Equation ◽

Varying Parameters ◽

Generalized Lyapunov Equation

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Multiple target recognition by eigenvalue estimation

ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344) ◽

10.1109/icosp.1998.770918 ◽

2002 ◽

Author(s):

Wang Shouyong ◽

Jiang Jing ◽

Yu Lan ◽

Yang Zhaoming ◽

Zuo Delin ◽

...

Keyword(s):

Target Recognition ◽

Multiple Target ◽

Eigenvalue Estimation

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Common solution to the Lyapunov equation for 2×2 complex matrices

Linear Algebra and its Applications ◽

10.1016/j.laa.2006.08.028 ◽

2007 ◽

Vol 420 (2-3) ◽

pp. 609-624 ◽

Cited By ~ 6

Author(s):

Thomas J. Laffey ◽

Helena Šmigoc

Keyword(s):

Lyapunov Equation ◽

Complex Matrices ◽

Common Solution

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Lyapunov Equation and the Stability of Nonautonomous Evolution Equations in Hilbert Spaces

Differential Equations And Control Theory ◽

10.1201/9780203902189.ch22 ◽

2001 ◽

Author(s):

Quoc-Phong Vu ◽

Siu Pang Yung

Keyword(s):

Hilbert Spaces ◽

Evolution Equations ◽

Lyapunov Equation ◽

The Stability

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On the solvability of the Lyapunov equation for nonselfadjoint differential operators of order 2m with nonlocal boundary conditions

Annales Polonici Mathematici ◽

10.4064/ap77-1-7 ◽

2001 ◽

Vol 77 (1) ◽

pp. 79-104

Author(s):

Aris Tersenov

Keyword(s):

Boundary Conditions ◽

Differential Operators ◽

Nonlocal Boundary ◽

Lyapunov Equation ◽

Nonlocal Boundary Conditions

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New Upper Estimates for the Solution of the Continuous Algebraic Lyapunov Equation

IEEE Transactions on Automatic Control ◽

10.1109/tac.2004.835587 ◽

2004 ◽

Vol 49 (10) ◽

pp. 1841-1842 ◽

Cited By ~ 5

Author(s):

S. Savov ◽

I. Popchev

Keyword(s):

Lyapunov Equation ◽

Algebraic Lyapunov Equation

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