-
1
-
-
0022661397
-
A mesh-independence principle for operator equations and their discretizations
-
E. L. ALLGOWER, K. BÖHMER, F. A. POTRA, AND W. C. RHEINBOLDT, A mesh-independence principle for operator equations and their discretizations, SIAM J. Numer. Anal., 23 (1986), pp. 160-169.
-
(1986)
SIAM J. Numer. Anal
, vol.23
, pp. 160-169
-
-
ALLGOWER, E.L.1
BÖHMER, K.2
POTRA, F.A.3
RHEINBOLDT, W.C.4
-
2
-
-
0023577191
-
Application of the mesh independence principle to mesh refinement strategies
-
E. L. ALLGOWER AND K. BÖHMER, Application of the mesh independence principle to mesh refinement strategies, SIAM J. Numer. Anal., 24 (1987), pp. 1335-1351.
-
(1987)
SIAM J. Numer. Anal
, vol.24
, pp. 1335-1351
-
-
ALLGOWER, E.L.1
BÖHMER, K.2
-
3
-
-
0017943998
-
Hereditary control problems: Numerical methods based on averaging approximations
-
H. T. BANKS AND J. A. BURNS, Hereditary control problems: Numerical methods based on averaging approximations, SIAM J. Control Optim., 16 (1978), pp. 169-208.
-
(1978)
SIAM J. Control Optim
, vol.16
, pp. 169-208
-
-
BANKS, H.T.1
BURNS, J.A.2
-
4
-
-
0019634887
-
Parameter estimation and identification for systems with delays
-
H. T. BANKS, J. A. BURNS, AND E. M. CLIFF, Parameter estimation and identification for systems with delays, SIAM J. Control Optim., 19 (1981), pp. 791-828.
-
(1981)
SIAM J. Control Optim
, vol.19
, pp. 791-828
-
-
BANKS, H.T.1
BURNS, J.A.2
CLIFF, E.M.3
-
5
-
-
0001331423
-
Spline approximations for functional differential equations
-
H. T. BANKS AND F. KAPPEL, Spline approximations for functional differential equations, J. Differential Equations, 34 (1979), pp. 496-522.
-
(1979)
J. Differential Equations
, vol.34
, pp. 496-522
-
-
BANKS, H.T.1
KAPPEL, F.2
-
6
-
-
0020203630
-
An approximation theory for nonlinear partial differential equations with applications to identification and control
-
H. T. BANKS AND K. KUNISCH, An approximation theory for nonlinear partial differential equations with applications to identification and control, SIAM J. Control Optim., 20 (1982), pp. 815-849.
-
(1982)
SIAM J. Control Optim
, vol.20
, pp. 815-849
-
-
BANKS, H.T.1
KUNISCH, K.2
-
7
-
-
0021497971
-
The linear regulator problem for parabolic systems
-
H. T. BANKS AND K. KUNISCH, The linear regulator problem for parabolic systems, SIAM J. Control Optim., 22 (1984), pp. 684-698.
-
(1984)
SIAM J. Control Optim
, vol.22
, pp. 684-698
-
-
BANKS, H.T.1
KUNISCH, K.2
-
8
-
-
0000993581
-
A spline based technique for computing Riccati operators and feedback controls in regulator problems for delay equations
-
H. T. BANKS, I. G. ROSEN, AND K. ITO, A spline based technique for computing Riccati operators and feedback controls in regulator problems for delay equations, SIAM J. Sci. Stat. Comput., 5 (1984), pp. 830-855.
-
(1984)
SIAM J. Sci. Stat. Comput
, vol.5
, pp. 830-855
-
-
BANKS, H.T.1
ROSEN, I.G.2
ITO, K.3
-
9
-
-
1842535089
-
Solving large-scale control problems
-
P. BENNER, Solving large-scale control problems, IEEE Control Systems Magazine, 24 (2004), pp. 44-59.
-
(2004)
IEEE Control Systems Magazine
, vol.24
, pp. 44-59
-
-
BENNER, P.1
-
10
-
-
55549136836
-
-
P. BENNER AND J. SAAK, Linear-Quadratic Regulator Design for Optimal Cooling of Steel Profiles, Preprint SFB393/05, TUChemnitz, Chemnitz, Germany, 2005.
-
P. BENNER AND J. SAAK, Linear-Quadratic Regulator Design for Optimal Cooling of Steel Profiles, Preprint SFB393/05, TUChemnitz, Chemnitz, Germany, 2005.
-
-
-
-
11
-
-
0003510881
-
-
Birkhäuser, Boston, Basel, Berlin
-
A. BENSOUSSAN, G. DA PRATO, M. C. DELFOUR, AND S. K. MITTER, Representation and Control of Infinite Dimensional Systems, Vol. I, Birkhäuser, Boston, Basel, Berlin, 1992.
-
(1992)
Representation and Control of Infinite Dimensional Systems
, vol.1
-
-
BENSOUSSAN, A.1
DA PRATO, G.2
DELFOUR, M.C.3
MITTER, S.K.4
-
12
-
-
0003510881
-
-
Birkhäuser, Boston, Basel, Berlin
-
A. BENSOUSSAN, G. DA PRATO, M. C. DELFOUR, AND S. K. MITTER, Representation and Control of Infinite Dimensional Systems, Vol. II, Birkhäuser, Boston, Basel, Berlin, 1993.
-
(1993)
Representation and Control of Infinite Dimensional Systems
, vol.2
-
-
BENSOUSSAN, A.1
DA PRATO, G.2
DELFOUR, M.C.3
MITTER, S.K.4
-
13
-
-
14344266529
-
On strong convergence of feedback operators for non-normal distributed parameter systems
-
Bahamas
-
J. BORGGAARD, J. A. BURNS, E. VUGRIN, AND L. ZIETSMAN, On strong convergence of feedback operators for non-normal distributed parameter systems, in Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, 2004, pp. 1526-1531.
-
(2004)
Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island
, pp. 1526-1531
-
-
BORGGAARD, J.1
BURNS, J.A.2
VUGRIN, E.3
ZIETSMAN, L.4
-
14
-
-
33746034965
-
Approximation of solutions of Riccati equations
-
P. BUBÁK, C. V. M. VAN DER MEE, AND A. C. M. RAN, Approximation of solutions of Riccati equations, SIAM J. Control Optim., 44 (2005), pp. 1419-1435.
-
(2005)
SIAM J. Control Optim
, vol.44
, pp. 1419-1435
-
-
BUBÁK, P.1
VAN DER MEE, C.V.M.2
RAN, A.C.M.3
-
15
-
-
14344258546
-
Nonlinear distributed parameter control systems with non-normal linearizations: Applications and approximations
-
Parameter Systems, R. C. Smith and M. A. Demetriou, eds, SIAM, Philadelphia
-
J. A. BURNS, Nonlinear distributed parameter control systems with non-normal linearizations: Applications and approximations, in Research Directions in Distributed Parameter Systems, R. C. Smith and M. A. Demetriou, eds., SIAM, Philadelphia, 2003, pp. 17-53.
-
(2003)
Research Directions in Distributed
, pp. 17-53
-
-
BURNS, J.A.1
-
16
-
-
0024105789
-
On nonconvergence of adjoint semigroups for control systems with delays
-
J. A. BURNS, K. ITO, AND G. PROPST, On nonconvergence of adjoint semigroups for control systems with delays, SIAM J. Control Optim., 26 (1988), pp. 1442-1454.
-
(1988)
SIAM J. Control Optim
, vol.26
, pp. 1442-1454
-
-
BURNS, J.A.1
ITO, K.2
PROPST, G.3
-
17
-
-
84972500781
-
Preservation of controllability under approximation and controllability radii for hereditary systems
-
J. A. BURNS AND G. H. PEICHL, Preservation of controllability under approximation and controllability radii for hereditary systems, Differential Integral Equations, 2 (1989), pp. 439-452.
-
(1989)
Differential Integral Equations
, vol.2
, pp. 439-452
-
-
BURNS, J.A.1
PEICHL, G.H.2
-
18
-
-
55549118999
-
A note on the asymptotic behavior of controllability radii for a scalar hereditary system
-
F. Kappel, K. Kunisch, and W. Schappacher, eds, Birkhäuser, Basel
-
J. A. BURNS AND G. H. PEICHL, A note on the asymptotic behavior of controllability radii for a scalar hereditary system, in Proceedings of the 4th International Conference on Control of Distributed Parameter Systems, F. Kappel, K. Kunisch, and W. Schappacher, eds., Birkhäuser, Basel, 1989, pp. 27-39.
-
(1989)
Proceedings of the 4th International Conference on Control of Distributed Parameter Systems
, pp. 27-39
-
-
BURNS, J.A.1
PEICHL, G.H.2
-
19
-
-
55549123630
-
Control system radii and robustness under approximation
-
A. Kurdila, P. Pardalos, and M. Zabarankin, eds, Springer, New York
-
J. A. BURNS AND G. H. PEICHL, Control system radii and robustness under approximation, in Robust Optimization-Directed Design, A. Kurdila, P. Pardalos, and M. Zabarankin, eds., Springer, New York, 2006, pp. 25-61.
-
(2006)
Robust Optimization-Directed Design
, pp. 25-61
-
-
BURNS, J.A.1
PEICHL, G.H.2
-
20
-
-
34548641978
-
Modeling transition: New scenarios, system sensitivity, and feedback control, in Transition and Turbulence Control, Lecture Notes Ser. 8, Institute for Mathematical Sciences, National University of Singapore, M
-
M. Tsai, eds, World Scientific Publishers, Singapore
-
J. A. BURNS AND J. R. SINGLER, Modeling transition: New scenarios, system sensitivity, and feedback control, in Transition and Turbulence Control, Lecture Notes Ser. 8, Institute for Mathematical Sciences, National University of Singapore, M. Gad-el-Hak and H. M. Tsai, eds., World Scientific Publishers, Singapore, 2006, pp. 1-37.
-
(2006)
Gad-el-Hak and H
, pp. 1-37
-
-
BURNS, J.A.1
SINGLER, J.R.2
-
22
-
-
0003511170
-
-
Springer, New York, Berlin, Heidelberg
-
R. F. CURTAIN AND H. J. ZWART, An Introduction to Infinite-Dimensional Linear Systems Theory, Springer, New York, Berlin, Heidelberg, 1995.
-
(1995)
An Introduction to Infinite-Dimensional Linear Systems Theory
-
-
CURTAIN, R.F.1
ZWART, H.J.2
-
23
-
-
84867958757
-
Newton's method for concave operators with resolvent positive derivatives in ordered Banach spaces
-
T. DAMM AND D. HINRICHSEN, Newton's method for concave operators with resolvent positive derivatives in ordered Banach spaces, Linear Algebra Appl., 363 (2003), pp. 43-64.
-
(2003)
Linear Algebra Appl
, vol.363
, pp. 43-64
-
-
DAMM, T.1
HINRICHSEN, D.2
-
24
-
-
0027627129
-
Approximation of the algebraic Riccati equation in the Hilbert space of Hilbert-Schmidt operators
-
A. DE SANTIS, A. GERMANI, AND L. JETTO, Approximation of the algebraic Riccati equation in the Hilbert space of Hilbert-Schmidt operators, SIAM J. Control Optim., 31 (1993), pp. 847-874.
-
(1993)
SIAM J. Control Optim
, vol.31
, pp. 847-874
-
-
DE SANTIS, A.1
GERMANI, A.2
JETTO, L.3
-
25
-
-
0024105629
-
Galerkin approximation for optimal linear filtering of infinite-dimensional linear systems
-
A. GERMANI, L. JETTO, AND M. PICCIONI, Galerkin approximation for optimal linear filtering of infinite-dimensional linear systems, SIAM J. Control Optim., 26 (1988), pp. 1287-1305.
-
(1988)
SIAM J. Control Optim
, vol.26
, pp. 1287-1305
-
-
GERMANI, A.1
JETTO, L.2
PICCIONI, M.3
-
26
-
-
0034433522
-
A twofold spline approximation for finite horizon LQG control of hereditary systems
-
A. GERMANI, C. MANES, AND P. PEPE, A twofold spline approximation for finite horizon LQG control of hereditary systems, SIAM J. Control Optim., 39 (2000), pp. 1233-1295.
-
(2000)
SIAM J. Control Optim
, vol.39
, pp. 1233-1295
-
-
GERMANI, A.1
MANES, C.2
PEPE, P.3
-
27
-
-
0018495942
-
The Riccati integral equations for optimal control problems on Hilbert spaces
-
J. S. GIBSON, The Riccati integral equations for optimal control problems on Hilbert spaces, SIAM J. Control Optim., 17 (1979), pp. 537-565.
-
(1979)
SIAM J. Control Optim
, vol.17
, pp. 537-565
-
-
GIBSON, J.S.1
-
28
-
-
0020543480
-
Linear-quadratic optimal control of hereditary differential systems: Infinite dimensional Riccati equations and numerical approximations
-
J. S. GIBSON, Linear-quadratic optimal control of hereditary differential systems: Infinite dimensional Riccati equations and numerical approximations, SIAM J. Control Optim., 21 (1983), pp. 95-139.
-
(1983)
SIAM J. Control Optim
, vol.21
, pp. 95-139
-
-
GIBSON, J.S.1
-
29
-
-
0025997770
-
Approximation theory for linear-quadratic-Gaussian optimal control of flexible structures
-
J. S. GIBSON AND A. ADAMIAN, Approximation theory for linear-quadratic-Gaussian optimal control of flexible structures, SIAM J. Control Optim., 29 (1991), pp. 1-37.
-
(1991)
SIAM J. Control Optim
, vol.29
, pp. 1-37
-
-
GIBSON, J.S.1
ADAMIAN, A.2
-
30
-
-
0041340908
-
Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
-
L. GRASEDYCK, W. HACKBUSCH, AND B. N. KHOROMSKIJ, Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices, Computing, 70 (2003), pp. 121-165.
-
(2003)
Computing
, vol.70
, pp. 121-165
-
-
GRASEDYCK, L.1
HACKBUSCH, W.2
KHOROMSKIJ, B.N.3
-
31
-
-
1842483197
-
The sensitivity of computational control problems
-
N. J. HIGHAM, M. KONSTANTINOV, V. MEHRMANN, AND P. PETKOV, The sensitivity of computational control problems, IEEE Control Systems Magazine, 24 (2004), pp. 28-43.
-
(2004)
IEEE Control Systems Magazine
, vol.24
, pp. 28-43
-
-
HIGHAM, N.J.1
KONSTANTINOV, M.2
MEHRMANN, V.3
PETKOV, P.4
-
32
-
-
6344235484
-
An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays
-
C. HUANG AND S. VANDEWALLE, An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays, SIAM J. Sci. Comput., 25 (2004), pp. 1608-1632.
-
(2004)
SIAM J. Sci. Comput
, vol.25
, pp. 1608-1632
-
-
HUANG, C.1
VANDEWALLE, S.2
-
33
-
-
0008275105
-
Strong convergence and convergence rates of approximating solutions for algebraic Riccati equations in Hilbert spaces
-
F. Kappel, K. Kunisch, and W. Schappacher, eds, Springer, New York
-
K. ITO, Strong convergence and convergence rates of approximating solutions for algebraic Riccati equations in Hilbert spaces, in Distributed Parameter Systems, F. Kappel, K. Kunisch, and W. Schappacher, eds., Springer, New York, 1987, pp. 151-166.
-
(1987)
Distributed Parameter Systems
, pp. 151-166
-
-
ITO, K.1
-
34
-
-
0025522741
-
Finite-dimensional compensators for infinite-dimensional systems via Galerkin-type approximations
-
K. ITO, Finite-dimensional compensators for infinite-dimensional systems via Galerkin-type approximations, SIAM J. Control Optim., 28 (1990), pp. 1251-1269.
-
(1990)
SIAM J. Control Optim
, vol.28
, pp. 1251-1269
-
-
ITO, K.1
-
35
-
-
14344259139
-
Approximations of LQR-problems for delay systems: A survey
-
Lund, eds, Birkhäuser, Cambridge
-
F. KAPPEL, Approximations of LQR-problems for delay systems: A survey, in Computation and Control II, K. Bowers and J. Lund, eds., Birkhäuser, Cambridge, 1991, pp. 187-224.
-
(1991)
Computation and Control II, K. Bowers and J
, pp. 187-224
-
-
KAPPEL, F.1
-
36
-
-
0023383576
-
Spline approximations for retarded systems and the Riccati equation
-
F. KAPPEL AND D. SALAMON, Spline approximations for retarded systems and the Riccati equation, SIAM J. Control Optim., 25 (1987), pp. 1082-1117.
-
(1987)
SIAM J. Control Optim
, vol.25
, pp. 1082-1117
-
-
KAPPEL, F.1
SALAMON, D.2
-
37
-
-
0024627511
-
On the stability properties of spline approximations for retarded systems
-
F. KAPPEL AND D. SALAMON, On the stability properties of spline approximations for retarded systems, SIAM J. Control Optim., 27 (1989), pp. 407-431.
-
(1989)
SIAM J. Control Optim
, vol.27
, pp. 407-431
-
-
KAPPEL, F.1
SALAMON, D.2
-
42
-
-
55549093848
-
-
T. PENZL, A Multi-Grid Method for Generalized Lyapunov Equations, Preprint SFB393/97, TUChemnitz, Chemnitz, Germany, 1997.
-
T. PENZL, A Multi-Grid Method for Generalized Lyapunov Equations, Preprint SFB393/97, TUChemnitz, Chemnitz, Germany, 1997.
-
-
-
-
43
-
-
55549146544
-
-
I. G. ROSEN, On Hilbert-Schmidt norm convergence of Galerkin approximations for operator Riccati equations, in Control and Estimation of Distributed Parameter Systems, Internat. Ser. Numer. Math. 91, Birkhäuser, Basel, 1989, pp. 335-349.
-
I. G. ROSEN, On Hilbert-Schmidt norm convergence of Galerkin approximations for operator Riccati equations, in Control and Estimation of Distributed Parameter Systems, Internat. Ser. Numer. Math. 91, Birkhäuser, Basel, 1989, pp. 335-349.
-
-
-
-
44
-
-
14344255562
-
Convergence of Galerkin approximations for operator Riccati equations-A nonlinear evolution equation approach
-
I. G. ROSEN, Convergence of Galerkin approximations for operator Riccati equations-A nonlinear evolution equation approach, J. Math. Anal. Appl., 155 (1991), pp. 226-248.
-
(1991)
J. Math. Anal. Appl
, vol.155
, pp. 226-248
-
-
ROSEN, I.G.1
-
45
-
-
0000010902
-
A multilevel technique for the approximate solution of operator Lyapunov and Riccati equations
-
I. G. ROSEN AND C. WANG, A multilevel technique for the approximate solution of operator Lyapunov and Riccati equations, SIAM J. Numer. Anal., 32 (1995), pp. 514-541.
-
(1995)
SIAM J. Numer. Anal
, vol.32
, pp. 514-541
-
-
ROSEN, I.G.1
WANG, C.2
-
46
-
-
0017998226
-
Approximation of optimal control problems governed by nonlinear evolution equations
-
H. SASAI, Approximation of optimal control problems governed by nonlinear evolution equations, Internat. J. Control, 28 (1978), pp. 313-324.
-
(1978)
Internat. J. Control
, vol.28
, pp. 313-324
-
-
SASAI, H.1
-
47
-
-
55549093505
-
-
H. SASAI AND E. SHIMEMURA, On convergence of approximating solutions of a class of linear optimal control problems of distributed parameter systems, Bul. Inst. Politehn. Ia̧si (N.S.), 15 (1969), pp. 39-47.
-
H. SASAI AND E. SHIMEMURA, On convergence of approximating solutions of a class of linear optimal control problems of distributed parameter systems, Bul. Inst. Politehn. Ia̧si (N.S.), 15 (1969), pp. 39-47.
-
-
-
-
48
-
-
0015067310
-
On the convergence of approximating solutions for linear distributed parameter optimal control problems
-
H. SASAI AND E. SHIMEMURA, On the convergence of approximating solutions for linear distributed parameter optimal control problems, SIAM J. Control Optim., 9 (1971), pp. 263-273.
-
(1971)
SIAM J. Control Optim
, vol.9
, pp. 263-273
-
-
SASAI, H.1
SHIMEMURA, E.2
|