-
3
-
-
0019533482
-
Principal component analysis in linear systems: Control-lability, observability, and model reduction
-
B. Moore, "Principal component analysis in linear systems: Control-lability, observability, and model reduction," IEEE Trans. Automat. Control, vol. AC-26, pp. 17-32, 1981.
-
(1981)
IEEE Trans. Automat. Control
, vol.AC-26
, pp. 17-32
-
-
Moore, B.1
-
4
-
-
0024700032
-
A schur method for balanced-truncation model reduction
-
M. Safonov and R. Chiang, "A Schur method for balanced-truncation model reduction," IEEE Trans. Automat. Control, vol. AC-34, pp. 729-733, 1989.
-
(1989)
IEEE Trans. Automat. Control
, vol.AC-34
, pp. 729-733
-
-
Safonov, M.1
Chiang, R.2
-
5
-
-
0023439931
-
Truncated balanced realization of a stable non-minimal state-space system
-
M. Tombs and I. Postlethwaite, "Truncated balanced realization of a stable non-minimal state-space system," Internat. J. Control, vol. 46, no. 4, pp. 1319-1330, 1987.
-
(1987)
Internat. J. Control
, vol.46
, Issue.4
, pp. 1319-1330
-
-
Tombs, M.1
Postlethwaite, I.2
-
7
-
-
0022769212
-
Controller reduction via stable factorization and balancing
-
Y. Liu and B. Anderson, "Controller reduction via stable factorization and balancing," Internat. 3. Control, vol. 44, pp. 507-531, 1986.
-
(1986)
Internat. 3. Control
, vol.44
, pp. 507-531
-
-
Liu, Y.1
Anderson, B.2
-
9
-
-
1842609250
-
∞-norm approximation
-
V. Blondel and A. Megretski, Eds.
-
∞-norm approximation," in 2002 MTNS Problem Book, Open Problems on the Mathematical Theory of Networks and Systems, V. Blondel and A. Megretski, Eds., 2002, pp. 73-76, available online from http://www.nd.edu/~mtns/OPMTNS.pdf.
-
(2002)
2002 MTNS Problem Book, Open Problems on the Mathematical Theory of Networks and Systems
, pp. 73-76
-
-
Antoulas, A.1
Astolfi, A.2
-
11
-
-
0019069037
-
Linear model reduction and solution of the algebraic riccati equation by use of the sign function
-
(Reprint of Tech. Report No. TR-13, CUED/B-Control, Cambridge University, Engineering Department, 1971)
-
J. Roberts, "Linear model reduction and solution of the algebraic Riccati equation by use of the sign function," Internat. J. Control, vol. 32, pp. 677-687, 1980, (Reprint of Tech. Report No. TR-13, CUED/B-Control, Cambridge University, Engineering Department, 1971).
-
(1980)
Internat. J. Control
, vol.32
, pp. 677-687
-
-
Roberts, J.1
-
12
-
-
0023288081
-
Computation of system balancing transformations and other application of simultaneous diagonalization algorithms
-
A. Laub, M. Heath, C. Paige, and R. Ward, "Computation of system balancing transformations and other application of simultaneous diagonalization algorithms," IEEE Trans. Automat. Control, vol. 34, pp. 115-122, 1987.
-
(1987)
IEEE Trans. Automat. Control
, vol.34
, pp. 115-122
-
-
Laub, A.1
Heath, M.2
Paige, C.3
Ward, R.4
-
13
-
-
0034549981
-
Balanced truncation model reduction of large-scale dense systems on parallel computers
-
P. Benner, E. Quintana-Ortí, and G. Quintana-Ortí, "Balanced truncation model reduction of large-scale dense systems on parallel computers," Math. Comput. Model. Dyn. Syst., vol. 6, no. 4, pp. 383-405, 2000.
-
(2000)
Math. Comput. Model. Dyn. Syst.
, vol.6
, Issue.4
, pp. 383-405
-
-
Benner, P.1
Quintana-Ortí, E.2
Quintana-Ortí, G.3
-
14
-
-
0029358151
-
The matrix sign function
-
C. Kenney and A. Laub, "The matrix sign function," IEEE Trans. Automat. Control, vol. 40, no. 8, pp. 1330-1348, 1995.
-
(1995)
IEEE Trans. Automat. Control
, vol.40
, Issue.8
, pp. 1330-1348
-
-
Kenney, C.1
Laub, A.2
-
15
-
-
38249038136
-
Solving the algebraic riccati equation with the matrix sign function
-
R. Byers, "Solving the algebraic Riccati equation with the matrix sign function," Linear Algebra Appl., vol. 85, pp. 267-279, 1987.
-
(1987)
Linear Algebra Appl.
, vol.85
, pp. 267-279
-
-
Byers, R.1
-
16
-
-
0001175581
-
Design of a parallel nonsymmetric eigenroutine toolbox, part I
-
R. S. et al., Ed. SIAM, Philadelphia, PA
-
Z. Bai and J. Demmel, "Design of a parallel nonsymmetric eigenroutine toolbox, Part I," in Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, R. S. et al., Ed. SIAM, Philadelphia, PA, 1993, pp. 391-398.
-
(1993)
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing
, pp. 391-398
-
-
Bai, Z.1
Demmel, J.2
-
19
-
-
14244254004
-
Solving linear matrix equations via rational iterative schemes
-
Preprint, TU Chemnitz, D-09107 Chemnitz, Germany
-
P. Benner, E. Quintana-Ortí, and G. Quintana-Ortí, "Solving linear matrix equations via rational iterative schemes," Preprint, Fakultät für Mathematik, TU Chemnitz, D-09107 Chemnitz, Germany, 2004.
-
(2004)
Fakultät Für Mathematik
-
-
Benner, P.1
Quintana-Ortí, E.2
Quintana-Ortí, G.3
-
20
-
-
0242406989
-
State-space truncation methods for parallel model reduction of large-scale systems
-
_, "State-space truncation methods for parallel model reduction of large-scale systems," Parallel Comput., vol. 29, pp. 1701-1722, 2003.
-
(2003)
Parallel Comput.
, vol.29
, pp. 1701-1722
-
-
-
21
-
-
0003615167
-
-
SIAM, Philadelphia, PA
-
L. Blackford, J. Choi, A. Cleary, E. D'Azevedo, J. Demmel, I. Dhillon, J. Dongarra, S. Hammarling, G. Henry, A. Petitet, K. Stanley, D. Walker, and R. Whaley, ScaLAPACK Users' Guide, SIAM, Philadelphia, PA, 1997.
-
(1997)
ScaLAPACK Users' Guide
-
-
Blackford, L.1
Choi, J.2
Cleary, A.3
D'Azevedo, E.4
Demmel, J.5
Dhillon, I.6
Dongarra, J.7
Hammarling, S.8
Henry, G.9
Petitet, A.10
Stanley, K.11
Walker, D.12
Whaley, R.13
-
22
-
-
0003278639
-
Automatically tuned linear algebra software
-
R. C. Whaley and I. Dongarrra, "Automatically tuned linear algebra software," in Proc. of SC98, 1998.
-
(1998)
Proc. of SC98
-
-
Whaley, R.C.1
Dongarrra, I.2
-
23
-
-
84949665448
-
A family of high-performance matrix multiplication algorithms
-
V. Alexander, J. Dongarra, B. Julianno, R. Renner, and C. Kenneth Tan, Eds.
-
J. Gunnels, G. Henry, and R. van de Geijn, "A family of high-performance matrix multiplication algorithms," in Computational Science - ICCS 2001, Part I, Lecture Notes in Computer Science 2073, V. Alexander, J. Dongarra, B. Julianno, R. Renner, and C. Kenneth Tan, Eds., 2001, pp. 51-60.
-
(2001)
Computational Science - ICCS 2001, Part I, Lecture Notes in Computer Science 2073
, pp. 51-60
-
-
Gunnels, J.1
Henry, G.2
Van De Geijn, R.3
-
24
-
-
0001071425
-
SLICOT - A subroutine library in systems and control theory
-
B. Datta, Ed. Boston, MA: Birkhäuser, ch. 10
-
P. Benner, V. Mehrmann, V. Sima, S. V. Huffel, and A. Varga, "SLICOT - a subroutine library in systems and control theory," in Applied and Computational Control, Signals, and Circuits, B. Datta, Ed. Boston, MA: Birkhäuser, 1999, vol. 1, ch. 10, pp. 499-539.
-
(1999)
Applied and Computational Control, Signals, and Circuits
, vol.1
, pp. 499-539
-
-
Benner, P.1
Mehrmann, V.2
Sima, V.3
Huffel, S.V.4
Varga, A.5
-
25
-
-
0008296147
-
Model reduction software in the SLICOT library
-
ser. The Kluwer International Series in Engineering and Computer Science, B. Datta, Ed. Boston, MA: Kluwer Academic Publishers
-
A. Varga, "Model reduction software in the SLICOT library," in Applied and Computational Control, Signals, and Circuits, ser. The Kluwer International Series in Engineering and Computer Science, B. Datta, Ed. Boston, MA: Kluwer Academic Publishers, 2001, vol. 629, pp. 239-282.
-
(2001)
Applied and Computational Control, Signals, and Circuits
, vol.629
, pp. 239-282
-
-
Varga, A.1
-
26
-
-
0242674368
-
A collection of benchmark examples for model reduction of linear time invariant dynamical systems
-
Feb.
-
Y. Chahlaoui and P. Van Dooren, "A collection of benchmark examples for model reduction of linear time invariant dynamical systems," SLICOT Working Note 2002-2, Feb. 2002, available from http://www.win.tue.nl/niconet.
-
(2002)
SLICOT Working Note 2002-2
-
-
Chahlaoui, Y.1
Van Dooren, P.2
|