-
1
-
-
0003585352
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
K. Zhou, J.C. Doyle, and K. Glover, Robust and Optimal Control, Prentice-Hall, Englewood Cliffs, NJ, 1995.
-
(1995)
Robust and Optimal Control
-
-
Zhou, K.1
Doyle, J.C.2
Glover, K.3
-
3
-
-
33646471966
-
Special issue on "order reduction of large-scale systems"
-
P. Benner, R.W. Freund, D.C. Sorensen, and A. Varga, Special issue on "order reduction of large-scale systems", Linear Algebra Appl., 415 (2006), pp. 231-234.
-
(2006)
Linear Algebra Appl.
, vol.415
, pp. 231-234
-
-
Benner, P.1
Freund, R.W.2
Sorensen, D.C.3
Varga, A.4
-
4
-
-
0030285070
-
Balanced and model reduction for second-order form linear systems
-
D.G. Meyer and S. Srinivasan, Balanced and model reduction for second-order form linear systems, IEEE Trans. Automat. Control, 41 (1996), pp. 1632-1644.
-
(1996)
IEEE Trans. Automat. Control
, vol.41
, pp. 1632-1644
-
-
Meyer, D.G.1
Srinivasan, S.2
-
5
-
-
33847184088
-
Model reduction of second-order systems
-
Dimension Reduction of Large-Scale Systems, P. Benner, D.C. Sorensen, and V. Mehrmann, eds., Springer, Berlin
-
Y. Chahlaoui, K.A. Gallivan, A. Vandendorpe, and P. Van Dooren, Model reduction of second-order systems, in Dimension Reduction of Large-Scale Systems, Lect. Notes Comput. Sci. Eng. 45, P. Benner, D.C. Sorensen, and V. Mehrmann, eds., Springer, Berlin, 2005, pp. 149-172.
-
(2005)
Lect. Notes Comput. Sci. Eng.
, vol.45
, pp. 149-172
-
-
Chahlaoui, Y.1
Gallivan, K.A.2
Vandendorpe, A.3
Van Dooren, P.4
-
6
-
-
33646143778
-
Second-order balanced truncation
-
Y. Chahlaoui, D. Lemonnier, A. Vandendorpe, and P. Van Dooren, Second-order balanced truncation, Linear Algebra Appl., 415 (2006), pp. 373-384.
-
(2006)
Linear Algebra Appl.
, vol.415
, pp. 373-384
-
-
Chahlaoui, Y.1
Lemonnier, D.2
Vandendorpe, A.3
Van Dooren, P.4
-
7
-
-
53349089857
-
Balanced truncation model reduction of second-order systems
-
T. Reis and T. Stykel, Balanced truncation model reduction of second-order systems, Math. Comput. Model. Dyn. Syst., 14 (2008), pp. 391-406.
-
(2008)
Math. Comput. Model. Dyn. Syst.
, vol.14
, pp. 391-406
-
-
Reis, T.1
Stykel, T.2
-
8
-
-
51649125386
-
Second-order balanced truncation for passive-order reduction of RLCK circuits
-
B. Yan, S.X.-D. Tan, and B. McGaughy, Second-order balanced truncation for passive-order reduction of RLCK circuits, IEEE Trans. Circuits Syst. II, 55 (2008), pp. 942-946.
-
(2008)
IEEE Trans. Circuits Syst. II
, vol.55
, pp. 942-946
-
-
Yan, B.1
Tan, S.X.-D.2
McGaughy, B.3
-
12
-
-
0024750490
-
Singular perturbation approximation of balanced systems
-
Y. Liu and B.D.O. Anderson, Singular perturbation approximation of balanced systems, Internat.J. Control, 50 (1989), pp. 1379-1405. (Pubitemid 20623804)
-
(1989)
International Journal of Control
, vol.50
, Issue.4
, pp. 1379-1405
-
-
Liu Yi1
Anderson Brian, D.O.2
-
13
-
-
0028713780
-
Applications of the singular perturbation approximation of balanced systems
-
R. Samar, I. Postlethwaite, and D.-W. Gu, Applications of the singular perturbation approximation of balanced systems, in Proceedings of the Third IEEE Conference on Control Applications, 1994, pp. 1823-1828.
-
(1994)
Proceedings of the Third IEEE Conference on Control Applications
, pp. 1823-1828
-
-
Samar, R.1
Postlethwaite, I.2
Gu, D.-W.3
-
14
-
-
0034545251
-
Singular perturbation analysis of system order reduction via system balancing
-
Z. Gajic and M. Lelic, Singular perturbation analysis of system order reduction via system balancing, in Proceedings of the Fourth American Control Conference, 2000, pp. 2420-2424.
-
(2000)
Proceedings of the Fourth American Control Conference
, pp. 2420-2424
-
-
Gajic, Z.1
Lelic, M.2
-
15
-
-
85057970382
-
Energy-storage balanced reduction of port-Hamiltonian systems
-
Sevilla, Spain
-
R. Lopezlena, J.M.A. Scherpen, and K. Fujimoto, Energy-storage balanced reduction of port-Hamiltonian systems, in Proceedings of the IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Sevilla, Spain, 2003, pp. 79-84.
-
(2003)
Proceedings of the IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
, pp. 79-84
-
-
Lopezlena, R.1
Scherpen, J.M.A.2
Fujimoto, K.3
-
16
-
-
0029250402
-
An intrinsic Hamiltonian formulation of the dynamics of LC-circuits
-
B.M. Maschke, A. Van Der Schaft, and P.C. Breedveld, An intrinsic Hamiltonian formulation of the dynamics of LC-circuits, IEEE Trans. Circuits Systems I Fund. Theory Appl., 42 (1995), pp. 73-82.
-
(1995)
IEEE Trans. Circuits Systems I Fund. Theory Appl.
, vol.42
, pp. 73-82
-
-
Maschke, B.M.1
Van Der Schaft, A.2
Breedveld, P.C.3
-
17
-
-
0031378497
-
PRIMA: Passive reduced-order interconnect macromodeling algorithm
-
A. Odabasioglu, M. Celik, and L. Pileggi, PRIMA: Passive reduced-order interconnect macromodeling algorithm, in Proceedings of the IEEE/ACM International Conference on Computer-Aided Design, 1997, pp. 58-65.
-
(1997)
Proceedings of the IEEE/ACM International Conference on Computer-Aided Design
, pp. 58-65
-
-
Odabasioglu, A.1
Celik, M.2
Pileggi, L.3
-
18
-
-
0032120939
-
Preservation of passivity during RLC network reduction via split congruence transformations
-
K.J. Kerns and A.T. Yang, Preservation of passivity during RLC network reduction via split congruence transformations, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 17 (1998), pp. 582-591.
-
(1998)
IEEE Trans. Comput. Aided Des. Integr. Circuits Syst.
, vol.17
, pp. 582-591
-
-
Kerns, K.J.1
Yang, A.T.2
-
19
-
-
34250464350
-
Dissipative dynamical systems
-
J.C. Willems, Dissipative dynamical systems, Part I: General theory, Arch. Rational Mech. Anal., 45 (1972), pp. 321-351.
-
(1972)
General Theory, Arch. Rational Mech. Anal.
, vol.45
, Issue.PART. I
, pp. 321-351
-
-
Willems, J.C.1
-
21
-
-
0019533482
-
Principal component analysis in linear systems: Controllability, observability, and model reduction
-
B.C. Moore, Principal component analysis in linear systems: Controllability, observability, and model reduction, IEEE Trans. Automat. Control, 26 (1981), pp. 17-32.
-
(1981)
IEEE Trans. Automat. Control
, vol.26
, pp. 17-32
-
-
Moore, B.C.1
-
22
-
-
0021441691
-
All optimal Hankel-norm approximations of linear multivariable systems and their L8-error bounds
-
K. Glover, All optimal Hankel-norm approximations of linear multivariable systems and their L8-error bounds, Internat.J. Control, 39 (1984), pp. 1115-1193.
-
(1984)
Internat.J. Control
, vol.39
, pp. 1115-1193
-
-
Glover, K.1
-
23
-
-
0021195555
-
Computing the Kalman decomposition: An optimal method
-
D. Boley, Computing the Kalman decomposition: An optimal method, IEEE Trans. Automat. Control, 29 (1984), pp. 51-53.
-
(1984)
IEEE Trans. Automat. Control
, vol.29
, pp. 51-53
-
-
Boley, D.1
-
24
-
-
0023288081
-
Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
-
A.J. Laub, M.T. Heath, C.C. Paige, and R.C. Ward, Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms, IEEE Trans. Automat. Control, 32 (1987), pp. 115-122.
-
(1987)
IEEE Trans. Automat. Control
, vol.32
, pp. 115-122
-
-
Laub, A.J.1
Heath, M.T.2
Paige, C.C.3
Ward, R.C.4
-
25
-
-
0023439931
-
Truncated balanced realization of a stable non-minimal state-space system
-
M.S. Tombs and I. Postlethwaite, Truncated balanced realization of a stable non-minimal state-space system, Internat.J. Control, 46 (1987), pp. 1319-1330.
-
(1987)
Internat.J. Control
, vol.46
, pp. 1319-1330
-
-
Tombs, M.S.1
Postlethwaite, I.2
-
26
-
-
0141865706
-
Structure-preserving model reduction for mechanical systems
-
S. Lall, P. Krysl, and S. Glavaski, Structure-preserving model reduction for mechanical systems, Phys. D, 184 (2003), pp. 304-318.
-
(2003)
Phys. D
, vol.184
, pp. 304-318
-
-
Lall, S.1
Krysl, P.2
Glavaski, S.3
-
27
-
-
0000559545
-
Systems of differential equations containing small parameters in the derivatives
-
A.N. Tikhonov, Systems of differential equations containing small parameters in the derivatives, Mat. Sb. (N.S.), 31 (1952), pp. 575-586.
-
(1952)
Mat. Sb. (N.S.)
, vol.31
, pp. 575-586
-
-
Tikhonov, A.N.1
-
28
-
-
34250627892
-
Geometric singular perturbation theory for ordinary differential equations
-
N. Fenichel, Geometric singular perturbation theory for ordinary differential equations, J. Differential Equations, 31 (1979), pp. 53-98.
-
(1979)
J. Differential Equations
, vol.31
, pp. 53-98
-
-
Fenichel, N.1
-
32
-
-
84990716831
-
Stability theory for dissipatively perturbed Hamiltonian systems
-
J.H. Maddocks and M.L. Overton, Stability theory for dissipatively perturbed Hamiltonian systems, Comm. Pure Appl. Math., 48 (1995), pp. 583-610.
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, pp. 583-610
-
-
Maddocks, J.H.1
Overton, M.L.2
-
33
-
-
33646471733
-
Benchmark examples for model reduction of linear time invariant dynamical systems
-
P. Benner, D.C. Sorensen, and V. Mehrmann, eds., Springer, Berlin
-
Y. Chahlaoui and P. Van Dooren, Benchmark examples for model reduction of linear time invariant dynamical systems, in Dimension Reduction of Large-Scale Systems, Lect. Notes Comput. Sci. Eng. 45, P. Benner, D.C. Sorensen, and V. Mehrmann, eds., Springer, Berlin, 2005, pp. 379-392.
-
(2005)
Dimension Reduction of Large-Scale Systems, Lect. Notes Comput. Sci. Eng.
, vol.45
, pp. 379-392
-
-
Chahlaoui, Y.1
Van Dooren, P.2
|