-
1
-
-
0003792312
-
-
Upper Saddle River, NJ: Prentice-Hall
-
T. Kailath, Linear Systems. Upper Saddle River, NJ: Prentice-Hall, 1980.
-
(1980)
Linear Systems
-
-
Kailath, T.1
-
2
-
-
0020280223
-
"Singular value analysis of deformable systems"
-
E. A. Jonckheere and L. M. Silverman, "Singular value analysis of deformable systems," Circuits, Syst. Signal Processing, vol. 1, no. 3-4: pp. 447-470, 1982.
-
(1982)
Circuits, Syst. Signal Processing
, vol.1
, Issue.3-4
, pp. 447-470
-
-
Jonckheere, E.A.1
Silverman, L.M.2
-
3
-
-
0019533482
-
"Principal component analysis in linear systems: Controllability, observability and model reduction"
-
Jan
-
B. C. Moore, "Principal component analysis in linear systems: controllability, observability and model reduction," IEEE Trans. Autom. Control, vol. AC-26, no. 1, pp. 17-32, Jan. 1981.
-
(1981)
IEEE Trans. Autom. Control
, vol.AC-26
, Issue.1
, pp. 17-32
-
-
Moore, B.C.1
-
4
-
-
0021441691
-
"All optimal Hankel-norm approximations of linear multi-variable systems and their l∞ -error bounds"
-
K. Glover, "All optimal Hankel-norm approximations of linear multi-variable systems and their l∞ -error bounds," Int. J. Control vol. 39, pp. 1115-1193, 1984.
-
(1984)
Int. J. Control
, vol.39
, pp. 1115-1193
-
-
Glover, K.1
-
5
-
-
0027641967
-
"Balancing for nonlinear systems"
-
J. M. A. Scherpen, "Balancing for nonlinear systems," Syst. Control Lett., vol. 21, pp. 143-153, 1993.
-
(1993)
Syst. Control Lett.
, vol.21
, pp. 143-153
-
-
Scherpen, J.M.A.1
-
6
-
-
0035940637
-
"State dependent matrices in quadratic forms"
-
W. S. Gray and J. M. A. Scherpen, "State dependent matrices in quadratic forms," Syst. Control Lett., vol. 44, no. 3, pp. 219-232, 2001.
-
(2001)
Syst. Control Lett.
, vol.44
, Issue.3
, pp. 219-232
-
-
Gray, W.S.1
Scherpen, J.M.A.2
-
7
-
-
0034546304
-
"Reduction of nonlinear models using balancing of empirical gramians and Galerkin projections"
-
J. Hahn and T. F. Edgar, "Reduction of nonlinear models using balancing of empirical gramians and Galerkin projections," in Proc. Amer. Control Conf., 2000, pp. 2864-2868.
-
(2000)
Proc. Amer. Control Conf.
, pp. 2864-2868
-
-
Hahn, J.1
Edgar, T.F.2
-
8
-
-
0037108424
-
"An improved method for nonlinear model reduction using balancing of empirical Gramians"
-
J. Hahn, "An improved method for nonlinear model reduction using balancing of empirical Gramians," Comput. Chem. Eng., vol. 26, no. 10, pp. 1379-1397, 2002.
-
(2002)
Comput. Chem. Eng.
, vol.26
, Issue.10
, pp. 1379-1397
-
-
Hahn, J.1
-
10
-
-
0003496515
-
"Modeling and reduction with applications to semiconductor processing"
-
Ph.D. dissertation, Univ. Maryland, College Park, MD
-
A. J. Newman, "Modeling and reduction with applications to semiconductor processing," Ph.D. dissertation, Univ. Maryland, College Park, MD, 1999.
-
(1999)
-
-
Newman, A.J.1
-
11
-
-
0036566376
-
"A subspace approach to balanced truncation for model reduction of nonlinear systems"
-
S. Lall, J. E. Marsden, and G. Glavaski, "A subspace approach to balanced truncation for model reduction of nonlinear systems," Int. J. Robust Nonlinear Control, vol. 12, no. 6, pp. 519-535, 2002.
-
(2002)
Int. J. Robust Nonlinear Control
, vol.12
, Issue.6
, pp. 519-535
-
-
Lall, S.1
Marsden, J.E.2
Glavaski, G.3
-
13
-
-
0033283815
-
"On singular value functions and Hankel operators for nonlinear systems"
-
J. M. A. Scherpen and W. S. Gray, "On singular value functions and Hankel operators for nonlinear systems," in Proc. Amer. Control Conf., 1999, pp. 2360-2364.
-
(1999)
Proc. Amer. Control Conf.
, pp. 2360-2364
-
-
Scherpen, J.M.A.1
Gray, W.S.2
-
14
-
-
0034442064
-
"On Hankel structure, Hilbert adjoints, and Hamiltonian adjoint realizations for nonlinear systems"
-
Proc. 2000 Conf. Decision and Control Sydney, Australia, Dec
-
J. M. A. Scherpen, K. Fujimoto, and W. S. Gray, "On Hankel structure, Hilbert adjoints, and Hamiltonian adjoint realizations for nonlinear systems," in Proc. 2000 Conf. Decision and Control, Sydney, Australia, Dec. 2000, pp. 5102-5107.
-
(2000)
, pp. 5102-5107
-
-
Scherpen, J.M.A.1
Fujimoto, K.2
Gray, W.S.3
-
15
-
-
0003018087
-
"Nonlinear compact mappings and their adjoints"
-
J. Batt, "Nonlinear compact mappings and their adjoints," Math. Ann., vol. 189, pp. 5-25, 1970.
-
(1970)
Math. Ann.
, vol.189
, pp. 5-25
-
-
Batt, J.1
-
16
-
-
0036833128
-
"Nonlinear Hilbert adjoints: Properties and applications to Hankel singular value analysis"
-
J. M. A. Scherpen and W. S. Gray, "Nonlinear Hilbert adjoints: properties and applications to Hankel singular value analysis," Nonlinear Anal.: Theory, Meth., Appl., vol. 51, no. 5, pp. 883-901, 2002.
-
(2002)
Nonlinear Anal.: Theory, Meth., Appl.
, vol.51
, Issue.5
, pp. 883-901
-
-
Scherpen, J.M.A.1
Gray, W.S.2
-
17
-
-
0000332769
-
"Eigenstructure of nonlinear Hankel operators"
-
ser. Lecture Notes on Control and Information Science, A. Isidori, F. Lamnabhi-Lagarrigue, and W. Respondek, Eds. Paris, France: Springer-Verlag
-
K. Fujimoto and J, M. A. Scherpen, "Eigenstructure of nonlinear Hankel operators," in Nonlinear Control in the Year 2000. ser. Lecture Notes on Control and Information Science, A. Isidori, F. Lamnabhi-Lagarrigue, and W. Respondek, Eds. Paris, France: Springer-Verlag, 2000, vol. 258, pp. 385-398.
-
(2000)
Nonlinear Control in the Year 2000
, vol.258
, pp. 385-398
-
-
Fujimoto, K.1
Scherpen, J.M.A.2
-
18
-
-
0036779202
-
"Hamiltonian realizations of nonlinear adjoint operators"
-
K. Fujimoto, J. M. A. Scherpen, and W. S. Gray, "Hamiltonian realizations of nonlinear adjoint operators," Automatica, vol. 38, no. 10, pp. 1769-1775, 2002.
-
(2002)
Automatica
, vol.38
, Issue.10
, pp. 1769-1775
-
-
Fujimoto, K.1
Scherpen, J.M.A.2
Gray, W.S.3
-
19
-
-
0003797651
-
-
ser. Lecture Notes on Control and Information Science. Berlin, Germany: Springer-Verlag
-
P. E. Crouch and A. J. van der Schaft, Variational and Hamiltonian Control Systems, ser. Lecture Notes on Control and Information Science. Berlin, Germany: Springer-Verlag, 1987, vol. 101.
-
(1987)
Variational and Hamiltonian Control Systems
, vol.101
-
-
Crouch, P.E.1
Schaft, A.J.2
-
20
-
-
0030104565
-
"J-inner-outer factorization, J-spectral factorization, and robust control for nonlinear systems"
-
Mar
-
J. A. Ball and A. J. van der Schaft, "J-inner-outer factorization, J-spectral factorization, and robust control for nonlinear systems," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 379-392, Mar. 1996.
-
(1996)
IEEE Trans. Autom. Control
, vol.41
, Issue.3
, pp. 379-392
-
-
Ball, J.A.1
Schaft, A.J.2
-
21
-
-
0003585352
-
-
Upper Saddle River, NJ: Prentice-Hall, Inc
-
K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. Upper Saddle River, NJ: Prentice-Hall, Inc., 1996.
-
(1996)
Robust and Optimal Control
-
-
Zhou, K.1
Doyle, J.C.2
Glover, K.3
-
22
-
-
0003494036
-
"Synthesis and analysis of nonlinear control systems based on transformations and factorizations"
-
Ph.D. dissertation, Kyoto Univ., Kyoto, Japan
-
K. Fujimoto, "Synthesis and analysis of nonlinear control systems based on transformations and factorizations," Ph.D. dissertation, Kyoto Univ., Kyoto, Japan, 2000.
-
(2000)
-
-
Fujimoto, K.1
-
25
-
-
0034317867
-
"Minimality and local state decompositions of a nonlinear state space realization using energy functions"
-
Nov
-
J. M. A. Scherpen and W. S. Gray, "Minimality and local state decompositions of a nonlinear state space realization using energy functions," IEEE Trans. Autom. Control, vol. 45, no. 11, pp. 2079-2086, Nov. 2000.
-
(2000)
IEEE Trans. Autom. Control
, vol.45
, Issue.11
, pp. 2079-2086
-
-
Scherpen, J.M.A.1
Gray, W.S.2
-
26
-
-
0004190360
-
-
Princeton, NJ: Princeton Univ. Press
-
J. W. Milnor, Morse Theory. Princeton, NJ: Princeton Univ. Press, 1963.
-
(1963)
Morse Theory
-
-
Milnor, J.W.1
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