-
1
-
-
79955919270
-
Parametric programming with applications to optimal control and sequential qua-dratic programming
-
W. Alt, Parametric programming with applications to optimal control and sequential qua-dratic programming, Bayreuth. Math. Schr. 34 (1990), 1-37.
-
(1990)
Bayreuth. Math. Schr
, vol.34
, pp. 1-37
-
-
Alt, W.1
-
3
-
-
84893283974
-
-
in: Mathematical Programming with Data Perturbations, A.V. Fiacco (ed.), Dekker, New York
-
W. Alt, Discretization and mesh-independence of Newton's method for generalized equations, in: Mathematical Programming with Data Perturbations, A. V. Fiacco (ed.), Dekker, New York, 1998, 1-30.
-
(1998)
Discretization and mesh-independence of Newton's method for generalized equations
, pp. 1-30
-
-
Alt, W.1
-
4
-
-
0027610053
-
The Lagrange-Newton method for nonlinear optimal control problems
-
W. Alt and K. Malanowski, The Lagrange-Newton method for nonlinear optimal control problems, Comput. Optim. Appl. 2 (1993), 77-100.
-
(1993)
Comput. Optim. Appl
, vol.2
, pp. 77-100
-
-
Alt, W.1
Malanowski, K.2
-
5
-
-
0030242615
-
Perturbed optimization in Banach spaces III Semi-infinite optimization
-
J. F. Bonnans and R. Cominetti, Perturbed optimization in Banach spaces, III: Semi-infinite optimization, SIAM J. Control Optim. 34 (1996), 1555-1567.
-
(1996)
SIAM J. Control Optim
, vol.34
, pp. 1555-1567
-
-
Bonnans, J.F.1
Cominetti, R.2
-
6
-
-
0032208079
-
Sensitivity analysis of optimization problems under abstract constraints
-
J. F. Bonnans, R. Cominetti and A. Shapiro, Sensitivity analysis of optimization problems under abstract constraints, Math. Oper. Res. 23 (1998), 806-831.
-
(1998)
Math. Oper. Res
, vol.23
, pp. 806-831
-
-
Bonnans, J.F.1
Cominetti, R.2
Shapiro, A.3
-
7
-
-
0032096712
-
Optimization problems with perturbations, A guided tour
-
J. F. Bonnans and A. Shapiro, Optimization problems with perturbations, A guided tour, SIAM Rev. 40 (1998), 202-227.
-
(1998)
SIAM Rev
, vol.40
, pp. 202-227
-
-
Bonnans, J.F.1
Shapiro, A.2
-
9
-
-
0002449719
-
Implicit function theorems for generalized equations
-
A. L. Dontchev, Implicit function theorems for generalized equations, Math. Program. 70 (1995), 91-106.
-
(1995)
Math. Program
, vol.70
, pp. 91-106
-
-
Dontchev, A.L.1
-
10
-
-
0001866786
-
-
in: Recent Developments in Well-Posed Variational Problems, R. Lucchetti and J. Revalski (eds.), Kluwer
-
A. L. Dontchev, Characterization of Lipschitz stability in optimization, in: Recent Developments in Well-Posed Variational Problems, R. Lucchetti and J. Revalski (eds.), Kluwer, 1995, 95-116.
-
(1995)
Characterization of Lipschitz stability in optimization
, pp. 95-116
-
-
Dontchev, A.L.1
-
11
-
-
0347771653
-
The Graves theorem revisited
-
A. L. Dontchev, The Graves theorem revisited, J. Convex Anal. 3 (1996), 45-53.
-
(1996)
J. Convex Anal
, vol.3
, pp. 45-53
-
-
Dontchev, A.L.1
-
12
-
-
0032367361
-
A proof of the necessity of linear independence condition and strong second-order suf-ficient optimality condition for Lipschitzian stability in nonlinear programming
-
A. L. Dontchev, A proof of the necessity of linear independence condition and strong second-order suf-ficient optimality condition for Lipschitzian stability in nonlinear programming, J. Optim. Theory Appl. 98 (1998), 467-473.
-
(1998)
J. Optim. Theory Appl
, vol.98
, pp. 467-473
-
-
Dontchev, A.L.1
-
13
-
-
0027590079
-
Lipschitz stability in nonlinear control and optimization
-
A. L. Dontchev andW.W. Hager, Lipschitz stability in nonlinear control and optimization, SIAM J. Control Optim. 31 (1993), 569-603.
-
(1993)
SIAM J. Control Optim
, vol.31
, pp. 569-603
-
-
Dontchev, A.L.1
Hager, W.W.2
-
14
-
-
0032026016
-
Lipschitzian stability for state constrained nonlinear optimal control
-
A. L. Dontchev andW.W. Hager, Lipschitzian stability for state constrained nonlinear optimal control, SIAM J. Control Optim. 31 (1993), 36 (1998), 698-718.
-
(1998)
SIAM J. Control Optim. 31 (1993)
, vol.36
, pp. 698-718
-
-
Dontchev, A.L.1
Hager, W.W.2
-
15
-
-
0001496674
-
Optimality, stability and con-vergence in nonlinear control
-
A. L. Dontchev, W. W. Hager, A. B. Poore and B. Yang, Optimality, stability and con-vergence in nonlinear control, Appl. Math. Optim. 31 (1995), 297-326.
-
(1995)
Appl. Math. Optim
, vol.31
, pp. 297-326
-
-
Dontchev, A.L.1
Hager, W.W.2
Poore, A.B.3
Yang, B.4
-
16
-
-
84893312052
-
-
411, in: Calculus of Variations and Optimal Control, A. Ioffe, S. Reich and I. Shafrir (eds.), CRC Res. Notes in Math. Chapman & Hall, Boca Raton
-
A. L. Dontchev and K. Malanowski, A characterization of Lipschitzian stability in optimal control, in: Calculus of Variations and Optimal Control, A. Ioffe, S. Reich and I. Shafrir (eds.), CRC Res. Notes in Math. 411, Chapman & Hall, Boca Raton, 1999, 62-76.
-
(1999)
A characterization of Lipschitzian stability in optimal control
, pp. 62-76
-
-
Dontchev, A.L.1
Malanowski, K.2
-
17
-
-
0002128319
-
-
in: Mathematical Programming with Data Perturbations, A.V. Fiacco (ed.), Dekker, New York
-
A. L. Dontchev and R. T. Rockafellar, Characterizations of Lipschitz stability in nonlinear programming, in: Mathematical Programming with Data Perturbations, A. V. Fiacco (ed.), Dekker, New York, 1998, 65-82.
-
(1998)
Characterizations of Lipschitz stability in nonlinear programming
, pp. 65-82
-
-
Dontchev, A.L.1
Rockafellar, R.T.2
-
18
-
-
34250383688
-
Sensitivity analysis for nonlinear programming using penalty methods
-
A. V. Fiacco, Sensitivity analysis for nonlinear programming using penalty methods, Math. Programming 10 (1976), 287-311.
-
(1976)
Math. Programming
, vol.10
, pp. 287-311
-
-
Fiacco, A.V.1
-
19
-
-
0018468242
-
Lipschitz continuity for constrained processes
-
W. W. Hager, Lipschitz continuity for constrained processes, SIAM J. Control Optim. 17 (1979), 321-337.
-
(1979)
SIAM J. Control Optim
, vol.17
, pp. 321-337
-
-
Hager, W.W.1
-
20
-
-
0016985875
-
Lagrange duality theory for convex control problems
-
W. W. Hager and S. K. Mitter, Lagrange duality theory for convex control problems, SIAM J. Control Optim. 17 (1979), 14 (1976), 843-856.
-
(1976)
SIAM J. Control Optim. 17 (1979)
, vol.14
, pp. 843-856
-
-
Hager, W.W.1
Mitter, S.K.2
-
21
-
-
84972502575
-
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
-
A. Haraux, How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities, J. Math. Soc. Japan 29 (1977), 615-631.
-
(1977)
J. Math. Soc. Japan
, vol.29
, pp. 615-631
-
-
Haraux, A.1
-
23
-
-
0018441518
-
Necessary and sufficient conditions for a local minimum. 3 Second order conditions and augmented duality
-
A. D. Ioffe, Necessary and sufficient conditions for a local minimum. 3: Second order conditions and augmented duality, SIAM J. Control Optim. 17 (1979), 266-288.
-
(1979)
SIAM J. Control Optim
, vol.17
, pp. 266-288
-
-
Ioffe, A.D.1
-
24
-
-
0004237334
-
-
Nauka, Moscow, 1974 (in Russian); English transl.: North-Holland, Amsterdam
-
A. D. Ioffe and V. M. Tikhomirov, Theory of Extremal Problems, Nauka, Moscow, 1974 (in Russian); English transl.: North-Holland, Amsterdam, 1979.
-
(1979)
Theory of Extremal Problems
-
-
Ioffe, A.D.1
Tikhomirov, V.M.2
-
25
-
-
38249009064
-
Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation
-
K. Ito and K. Kunisch, Sensitivity analysis of solutions to optimization problems in Hilbert spaces with applications to optimal control and estimation, J. Differential Equations 99 (1992), 1-40.
-
(1992)
J. Differential Equations
, vol.99
, pp. 1-40
-
-
Ito, K.1
Kunisch, K.2
-
27
-
-
0021446932
-
Solution point differentiability without strict complementarity in nonlinear program-ming
-
K. Jittorntrum, Solution point differentiability without strict complementarity in nonlinear program-ming, Math. Programming Study 21 (1984), 127-138.
-
(1984)
Math. Programming Study
, vol.21
, pp. 127-138
-
-
Jittorntrum, K.1
-
28
-
-
0004132033
-
-
Nauka, Moscow, 1977 (in Russian); English ed.: Pergamon Press, Oxford
-
L. V. Kantorovich and G. P. Akilov, Functional Analysis, Nauka, Moscow, 1977 (in Russian); English ed.: Pergamon Press, Oxford, 1982.
-
(1982)
Functional Analysis
-
-
Kantorovich, L.V.1
Akilov, G.P.2
-
29
-
-
29244431838
-
On regularity and stability in semi-infinite optimization
-
D. Klatte, On regularity and stability in semi-infinite optimization, Set-Valued Anal. 3 (1995), 101-111.
-
(1995)
Set-Valued Anal
, vol.3
, pp. 101-111
-
-
Klatte, D.1
-
30
-
-
0347709480
-
Regularity and stability in nonlinear semi-infinite optimization
-
D. Klatte and R. Henrion, Regularity and stability in nonlinear semi-infinite optimization, Nonconvex Optim. Appl. 25 (1997), 69-102.
-
(1997)
Nonconvex Optim. Appl
, vol.25
, pp. 69-102
-
-
Klatte, D.1
Henrion, R.2
-
32
-
-
0021502840
-
Differential stability of solutions to convex control constrained optimal control problems
-
K. Malanowski, Differential stability of solutions to convex control constrained optimal control problems, Appl. Math. Optim. 12 (1984), 1-14.
-
(1984)
Appl. Math. Optim
, vol.12
, pp. 1-14
-
-
Malanowski, K.1
-
33
-
-
0025237928
-
Sensitivity analysis of optimization problems in Hilbert space with application to opti-mal control
-
K. Malanowski, Sensitivity analysis of optimization problems in Hilbert space with application to opti-mal control, Appl. Math. Optim. 12 (1984), 21 (1990), 1-20.
-
(1990)
Appl. Math. Optim. 12 (1984)
, vol.21
, pp. 1-20
-
-
Malanowski, K.1
-
34
-
-
0026680941
-
Second order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces
-
K. Malanowski, Second order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces, Appl. Math. Optim. 25 (1992), 51-79.
-
(1992)
Appl. Math. Optim
, vol.25
, pp. 51-79
-
-
Malanowski, K.1
-
35
-
-
0000146438
-
Two-norm approach in stability and sensitivity analysis of optimization and optimal control problems
-
K. Malanowski, Two-norm approach in stability and sensitivity analysis of optimization and optimal control problems, Adv. Math. Sci. Appl. 2 (1993), 397-443.
-
(1993)
Adv. Math. Sci. Appl
, vol.2
, pp. 397-443
-
-
Malanowski, K.1
-
36
-
-
0001620726
-
Stability and sensitivity of solutions to nonlinear optimal control problems
-
K. Malanowski, Stability and sensitivity of solutions to nonlinear optimal control problems, Appl. Math. Optim. 32 (1995), 111-141.
-
(1995)
Appl. Math. Optim
, vol.32
, pp. 111-141
-
-
Malanowski, K.1
-
37
-
-
0013541580
-
-
preprint WP-1-2000, Systems Research Institute, Polish Acad. Sci., Warszawa
-
K. Malanowski, Bouligand differentiability of solutions to parametric optimal control problems, preprint WP-1-2000, Systems Research Institute, Polish Acad. Sci., Warszawa, 2000.
-
(2000)
Bouligand differentiability of solutions to parametric optimal control problems
-
-
Malanowski, K.1
-
38
-
-
0000463120
-
-
in: Mathematical Programming with Data Perturbations, A.V. Fiacco (ed.), Dekker, New York
-
K. Malanowski, C. Büskens and H. Maurer, Convergence of approximations to nonlinear optimal control problems, in: Mathematical Programming with Data Perturbations, A. V. Fiacco (ed.), Dekker, New York, 1998, 253-284.
-
(1998)
Convergence of approximations to nonlinear optimal control problems
, pp. 253-284
-
-
Malanowski, K.1
Büskens, C.2
Maurer, H.3
-
39
-
-
0030145422
-
Sensitivity analysis for parametric optimal control problems with control-state constraints
-
K. Malanowski and H. Maurer, Sensitivity analysis for parametric optimal control problems with control-state constraints, Comput. Optim. Appl. 5 (1996), 253-283.
-
(1996)
Comput. Optim. Appl
, vol.5
, pp. 253-283
-
-
Malanowski, K.1
Maurer, H.2
-
40
-
-
0000570227
-
First-and second-order sufficient optimality conditions in mathematical pro-gramming and optimal control
-
H. Maurer, First-and second-order sufficient optimality conditions in mathematical pro-gramming and optimal control, Math. Programmming Study 14 (1981), 163-177.
-
(1981)
Math. Programmming Study
, vol.14
, pp. 163-177
-
-
Maurer, H.1
-
41
-
-
21844518109
-
Second order sufficient conditions for optimal control prob-lems with mixed control-state constraints
-
H. Maurer and S. Pickenhain, Second order sufficient conditions for optimal control prob-lems with mixed control-state constraints, J. Optim. Theory Appl. 86 (1995), 649-667.
-
(1995)
J. Optim. Theory Appl
, vol.86
, pp. 649-667
-
-
Maurer, H.1
Pickenhain, S.2
-
42
-
-
0001635734
-
Contrôle dans les inéquations variationnelles
-
F. Mignot, Contrôle dans les inéquations variationnelles, J. Funct. Anal. 22 (1976), 130-185.
-
(1976)
J. Funct. Anal
, vol.22
, pp. 130-185
-
-
Mignot, F.1
-
43
-
-
0001782846
-
Perturbed Kuhn-Tucker points and rate of convergence for a class of nonlinear programming algorithms
-
S. M. Robinson, Perturbed Kuhn-Tucker points and rate of convergence for a class of nonlinear programming algorithms, Math. Programming 7 (1974), 1-16.
-
(1974)
Math. Programming
, vol.7
, pp. 1-16
-
-
Robinson, S.M.1
-
44
-
-
0018977011
-
Strongly regular generalized equations
-
S. M. Robinson, Strongly regular generalized equations, Math. Oper. Res. 5 (1980), 43-62.
-
(1980)
Math. Oper. Res
, vol.5
, pp. 43-62
-
-
Robinson, S.M.1
-
45
-
-
0002467511
-
Local structure of feasible sets in nonlinear programming Part III Stability and sen-sitivity
-
S. M. Robinson, Local structure of feasible sets in nonlinear programming, Part III: Stability and sen-sitivity, Math. Programming Study 30 (1987), 97-116.
-
(1987)
Math. Programming Study
, vol.30
, pp. 97-116
-
-
Robinson, S.M.1
-
46
-
-
0000516813
-
Local structure of feasible sets in nonlinear programming, Part III Local structure of feasible sets in nonlinear programming Part III An implicit-function theorem for a class of nonsmooth functions
-
S. M. Robinson, Local structure of feasible sets in nonlinear programming, Part III: Local structure of feasible sets in nonlinear programming, Part III: An implicit-function theorem for a class of nonsmooth functions, Math. Oper. Res. 16 (1991), 292-309.
-
(1991)
Math. Oper. Res
, vol.16
, pp. 292-309
-
-
Robinson, S.M.1
-
48
-
-
0025485978
-
On concepts of directional differentiability
-
A. Shapiro, On concepts of directional differentiability, J. Math. Anal. Appl. 66 (1990), 477-487.
-
(1990)
J. Math. Anal. Appl
, vol.66
, pp. 477-487
-
-
Shapiro, A.1
-
49
-
-
0001920915
-
Perturbation analysis of optimization problems in Banach spaces
-
A. Shapiro, Perturbation analysis of optimization problems in Banach spaces, Numer. Funct. Anal. Optim. 13 (1992), 97-116.
-
(1992)
Numer. Funct. Anal. Optim
, vol.13
, pp. 97-116
-
-
Shapiro, A.1
-
50
-
-
0026953107
-
Sensitivity analysis of parametrized programs under cone constraints
-
A. Shapiro and J. F. Bonnans, Sensitivity analysis of parametrized programs under cone constraints, SIAM J. Control Optim. 30 (1992), 97-116.
-
(1992)
SIAM J. Control Optim
, vol.30
, pp. 97-116
-
-
Shapiro, A.1
Bonnans, J.F.2
-
51
-
-
0023450587
-
Sensitivity analysis of control constrained optimal control problems for dis-tributed parameter systems
-
J. Sokołowski, Sensitivity analysis of control constrained optimal control problems for dis-tributed parameter systems, SIAM J. Control Optim. 30 (1992), 26 (1987), 1542-1556.
-
(1987)
SIAM J. Control Optim. 30 (1992)
, vol.26
, pp. 1542-1556
-
-
Sokołowski, J.1
-
54
-
-
0028501238
-
The Riccati equation for optimal control problems with mixed control-state constraints necessity and sufficiency
-
V. Zeidan, The Riccati equation for optimal control problems with mixed control-state constraints: necessity and sufficiency, SIAM J. Control Optim. 32 (1994), 1297-1321.
-
(1994)
SIAM J. Control Optim
, vol.32
, pp. 1297-1321
-
-
Zeidan, V.1
|