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Keywords
(8)
Analysis and Design
Control System
Distributed Processing
Linear Matrix Inequality
lyapunov equation
Recurrent Neural Network
riccati equation
Neural Network
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A Novel Approach Solving for Linear Matrix Inequalities Using Neural Networks
A Novel Approach Solving for Linear Matrix Inequalities Using Neural Networks,10.1023/A:1009698529106,Neural Processing Letters,ChunLiang Lin,TengHs
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A Novel Approach Solving for Linear Matrix Inequalities Using Neural Networks
(
Citations: 1
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ChunLiang Lin
,
TengHsien Huang
Linear
matrix inequalities
(LMIs) play avery important role in postmodern control by providinga framework that unifies many concepts. While numerouspapers have appeared cataloging applications of LMIsto
control system
analysis and design, there have beenfew publications in the literature describing thenumerical solution of these problems. Specially,
neural network
processing has rarely been used to solve those problems.This paper attempts topropose a new approach to solving a class of LMIsusing recurrent neural networks. The nature ofparallel and
distributed processing
renders thesenetworks, which possess the computational advantages overthe traditional sequential algorithms in realtimeapplications. The proposed networks are proven to be largelyasymptotical and capable of solving LMIs.Some illustrative examples are provided todemonstrate the proposed results.
Journal:
Neural Processing Letters  NPL
, vol. 11, no. 2, pp. 153169, 2000
DOI:
10.1023/A:1009698529106
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References
(13)
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)
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,
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,
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Increased roles of linear algebra in control education
(
Citations: 17
)
Robert E. Skelton
,
Tetsuya Iwasaki
Journal:
IEEE Control Systems Magazine  IEEE CONTROL SYST MAG
, vol. 15, no. 4, pp. 7690, 1995
Algorithms and software for LMI problems in control
(
Citations: 30
)
L. Vandenberghe
,
V. Balakrishnan
Journal:
IEEE Control Systems Magazine  IEEE CONTROL SYST MAG
, vol. 17, no. 5, pp. 8995, 1997
ThreeDimensional Structured Networks for Matrix Equation Solving
(
Citations: 21
)
Lixin Wang
,
Jerry M. Mendel
Journal:
IEEE Transactions on Computers  TC
, vol. 40, no. 12, pp. 13371346, 1991
Recurrent neural networks for solving linear matrix equations
(
Citations: 10
)
J. Wang
Published in 1993.
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Citations
(1)
A Simplified Neural Network for Linear Matrix Inequality Problems
Long Cheng
,
Zengguang Hou
,
Min Tan
Journal:
Neural Processing Letters  NPL
, vol. 29, no. 3, pp. 213230, 2009