Lecture Notes on Numerical Methods for Control
(University of Arizona)
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Lecture Note 1, Hermitian forms and Hermitian matrices
(Friday, January 19, 2001)
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Lecture Note 2, Singular value decomposition
(Friday, January 19, 2001)
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Lecture Note 3, Numerically stable pole placement algorithm
for SISO and MIMO systems (Monday, January 22, 2001)
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Lecture Note 4, Jordan-canonical form and generalized
eigenvectors (Wednesday, January 24, 2001)
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Lecture Note 5, Numerical computation of eigenvalues
(Friday, January 26, 2001)
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Lecture Note 6, Triangular forms, unitary transformations,
and deflated subspaces, Part I (Monday, January 29, 2001)
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Lecture Note 7, Triangular forms, unitary transformations,
and deflated subspaces, Part II (Monday, February 5, 2001)
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Lecture Note 8, Numerical computation of matrix
exponentials, Part I (Wednesday, February 7, 2001)
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Lecture Note 9, Numerical computation of matrix
exponentials, Part II (Monday, February 12, 2001)
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Lecture Note 10, Gramians and balanced realizations,
Part I (Wednesday, February 14, 2001)
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Lecture Note 11, Gramians and balanced realizations,
Part II (Friday, February 16, 2001)
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Lecture Note 12, Staircase transformations and input/output
decoupling (Monday, February 19, 2001)
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Lecture Note 13, Eitelberg model reduction, Part I
(Wednesday, February 21, 2001)
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Lecture Note 14, Eitelberg model reduction, Part II
(Friday, February 23, 2001)
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Lecture Note 15, Badreddin model reduction
(Monday, February 26, 2001)
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Lecture Note 16, Model reduction by bond graphs
(Wednesday, February 28, 2001)
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Lecture Note 17, Vector and matrix norms
(Friday, March 2, 2001)
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Lecture Note 18, Vector spaces (Banach, Hilbert, and
Hardy spaces), inner products, Hankel norms and Hankel
singular values
(Monday, March 5, 2001)
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Lecture Note 19, Polynomial representations
(Wednesday, March 7, 2001)
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Lecture Note 20, Data representations in Polpac
(Wednesday, March 7, 2001)
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Lecture Note 21, System and signal norms
(Monday, March 19, 2001)
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Lecture Note 22, Robust stability and performance of
multivariable systems
(Wednesday, March 21, 2001)
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Lecture Note 23, Coprime factorization
(Friday, March 23, 2001)
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Lecture Note 24, Characterization of all stabilizing
controllers, Youla-Kucera parametrization
(Monday, March 26, 2001)
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Lecture Note 25, Linear fractional transforms
(Friday, March 30, 2001)
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Lecture Note 26, Effects of Model Uncertainty
(Monday, April 2, 2001)
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Lecture Note 27, Construction of linear fractional transforms
(Wednesday, April 4, 2001)
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Lecture Note 28, Small gain theorem, general decomposition
theorem
(Friday, April 6, 2001)
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Lecture Note 29, Neural networks
(Monday, April 9, 2001)
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Lecture Note 30, Backpropagation training
(Wednesday, April 11, 2001)
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Lecture Note 31, Neural network training (parameter
optimization) using general gradient methods, Monte Carlo
techniques, and genetic algorithms
(Monday, April 16, 2001)
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Lecture Note 32, Fuzzification, neural control, and
programmable logic controllers
(Wednesday, April 18, 2001)
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Lecture Note 33, Fuzzy modeling
(Friday, April 20, 2001)
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Lecture Note 34, Confidence in fuzzy modeling (look at
chapters 3, 5, and 6)
(Friday, April 27, 2001 - double lecture)
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Lecture Note 35, Fuzzy control
(Monday, April 30, 2001)
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Lecture Note 36, Neural network implementation of fuzzy
controllers
(Wednesday, May 2, 2001)
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Last modified: June 24, 2005 -- © François Cellier