-
1
-
-
0003287433
-
Optimization Theory and Applications. Problems with Ordinary Differential Equations
-
Springer-Verlag New York
-
L. Cesari Optimization Theory and Applications. Problems with Ordinary Differential Equations Applications of Mathematics vol. 17 1983 Springer-Verlag New York
-
(1983)
Applications of Mathematics
, vol.17
-
-
Cesari, L.1
-
3
-
-
0021817336
-
A high order test for optimality of bangbang controls
-
A. Bressan A high order test for optimality of bangbang controls SIAM J. Control Optim. 23 1985 38 48
-
(1985)
SIAM J. Control Optim.
, vol.23
, pp. 38-48
-
-
Bressan, A.1
-
5
-
-
3943090734
-
The index of second variation of a control system
-
A.V. Sarychev The index of second variation of a control system Mat. Sb. 113 1980 464 486 English transl. in Math. USSR Sbornik 41 (1982) 383401
-
(1980)
Mat. Sb.
, vol.113
, pp. 464-486
-
-
Sarychev, A.V.1
-
6
-
-
0005335685
-
Envelopes, conjugate points and optimal bangbang extremals
-
H.J. Sussmann Envelopes, conjugate points and optimal bangbang extremals M. Fliess, M. Hazewinkel, Proc. 1985 Paris Conf. on Nonlinear Systems 1987 Reidel Publishers Dordrecht, the Netherlands
-
(1987)
Proc. 1985 Paris Conf. on Nonlinear Systems
-
-
Sussmann, H.J.1
-
7
-
-
0024478824
-
The structure of small-time reachable sets in low dimensions
-
A.J. Krener, and H. Schttler The structure of small-time reachable sets in low dimensions SIAM J. Control Optim. 27 1 1989 120 147
-
(1989)
SIAM J. Control Optim.
, vol.27
, Issue.1
, pp. 120-147
-
-
Krener, A.J.1
Schttler, H.2
-
8
-
-
0000401789
-
Sufficient conditions for optimality and the justification of the dynamic programming method
-
V.G. Boltyanskii Sufficient conditions for optimality and the justification of the dynamic programming method SIAM J. Control 4 1966 326 361
-
(1966)
SIAM J. Control
, vol.4
, pp. 326-361
-
-
Boltyanskii, V.G.1
-
9
-
-
0029378576
-
Second-order optimality conditions in sets of L∞ functions with range in a polyhedron
-
J.C. Dunn Second-order optimality conditions in sets of L∞ functions with range in a polyhedron SIAM J. Control Optim. 33 1995 1603 1635
-
(1995)
SIAM J. Control Optim.
, vol.33
, pp. 1603-1635
-
-
Dunn, J.C.1
-
10
-
-
0030145422
-
Sensitivity analysis for parametric control problems with control-state constraints
-
K. Malanowski, and H. Maurer Sensitivity analysis for parametric 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
-
11
-
-
0000570227
-
First and second order sufficient optimality conditions in mathematical programming and optimal control
-
H. Maurer First and second order sufficient optimality conditions in mathematical programming and optimal control Math. Program. Study 14 1981 163 177
-
(1981)
Math. Program. Study
, vol.14
, pp. 163-177
-
-
Maurer, H.1
-
12
-
-
1542373167
-
Sensitivity analysis and real-time control of parametric optimal control problems using boundary value methods
-
H. Maurer, and D. Augustin Sensitivity analysis and real-time control of parametric optimal control problems using boundary value methods M. Grtschel, On-line Optimization of Large Scale Systems 2001 Springer-Verlag Berlin 17 55
-
(2001)
On-line Optimization of Large Scale Systems
, pp. 17-55
-
-
Maurer, H.1
Augustin, D.2
-
13
-
-
0037252440
-
Second order sufficient conditions for optimal control problems with free final time: The Riccati approach
-
H. Maurer, and H.J. Oberle Second order sufficient conditions for optimal control problems with free final time: The Riccati approach SIAM J. Control Optim. 41 2002 380 403
-
(2002)
SIAM J. Control Optim.
, vol.41
, pp. 380-403
-
-
Maurer, H.1
Oberle, H.J.2
-
14
-
-
21844518109
-
Second-order sufficient conditions for optimal control problems with mixed control-state constraints
-
H. Maurer, and S. Pickenhain Second-order sufficient conditions for optimal control problems 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
-
15
-
-
0040105952
-
Calculus of Variations and Optimal Control
-
AMS Providence, RI
-
A.A. Milyutin, and N.P. Osmolovskii Calculus of Variations and Optimal Control Transl. Math. Monogr. vol. 180 1998 AMS Providence, RI
-
(1998)
Transl. Math. Monogr.
, vol.180
-
-
Milyutin, A.A.1
Osmolovskii, N.P.2
-
16
-
-
0028501238
-
The Riccati equation for optimal control problems with mixed state-control constraints: Necessity and sufficiency
-
V. Zeidan The Riccati equation for optimal control problems with mixed state-control 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
-
17
-
-
0041786633
-
Computational Sensitivity Analysis for State Constrained Optimal Control Problems
-
DOI 10.1023/A:1010960221295
-
D. Augustin, and H. Maurer Computational sensitivity analysis for state constrained optimal control problems Ann. Oper. Res. 101 2001 75 99 (Pubitemid 33634363)
-
(2001)
Annals of Operations Research
, vol.101
, Issue.1-4
, pp. 75-99
-
-
Augustin, D.1
Maurer, H.2
-
18
-
-
0035634179
-
Sensitivity Analysis for Optimal Control Problems Subject to Higher Order State Constraints
-
DOI 10.1023/A:1010956104457
-
K. Malanowski, and H. Maurer Sensitivity analysis for optimal control problems subject to higher order state constraints Optimization with data perturbations, II, Ann. Oper. Res. 101 2001 43 73 (Pubitemid 33634362)
-
(2001)
Annals of Operations Research
, vol.101
, Issue.1-4
, pp. 43-73
-
-
Malanowski, K.1
Maurer, H.2
-
19
-
-
0141568839
-
Transformation of quadratic forms to perfect squares for broken extremal
-
N.P. Osmolovskii, and F. Lempio Transformation of quadratic forms to perfect squares for broken extremal Set-Valued Anal. 10 2002 209 232
-
(2002)
Set-Valued Anal.
, vol.10
, pp. 209-232
-
-
Osmolovskii, N.P.1
Lempio, F.2
-
20
-
-
0030826051
-
First- and second-order sufficient optimality conditions for bangbang controls
-
A.V. Sarychev First- and second-order sufficient optimality conditions for bangbang controls SIAM J. Control Optim. 35 1997 315 440
-
(1997)
SIAM J. Control Optim.
, vol.35
, pp. 315-440
-
-
Sarychev, A.V.1
-
21
-
-
4644331767
-
Second order sufficient conditions for time-optimal bangbang control problems
-
H. Maurer, and N.P. Osmolovskii Second order sufficient conditions for time-optimal bangbang control problems SIAM J. Control Optim. 42 2004 2239 2263
-
(2004)
SIAM J. Control Optim.
, vol.42
, pp. 2239-2263
-
-
Maurer, H.1
Osmolovskii, N.P.2
-
22
-
-
21244449627
-
Optimization methods for the verification of second order sufficient conditions for bangbang controls
-
H. Maurer, C. Bskens, J.-H.R. Kim, and C.Y. Kaya Optimization methods for the verification of second order sufficient conditions for bangbang controls Optim. Control Appl. Meth. 26 2005 129 156
-
(2005)
Optim. Control Appl. Meth.
, vol.26
, pp. 129-156
-
-
Maurer, H.1
Bskens, C.2
Kim, J.-H.R.3
Kaya, C.Y.4
-
24
-
-
21244437982
-
Equivalence of second order optimality conditions for bangbang control problems. Part 1: Main results
-
N.P. Osmolovskii, and H. Maurer Equivalence of second order optimality conditions for bangbang control problems. Part 1: main results Control Cybernet. 34 3 2005 927 949
-
(2005)
Control Cybernet.
, vol.34
, Issue.3
, pp. 927-949
-
-
Osmolovskii, N.P.1
Maurer, H.2
-
25
-
-
33846092985
-
Equivalence of second order optimality conditions for bang-bang control problems. Part 2: Proofs, variational derivatives and representations
-
N.P. Osmolovskii, H. Maurer, Equivalence of second order optimality conditions for bangbang control problems. Part 2: Proofs, variational derivatives and representations, Control Cybernet., 36 555584.
-
Control Cybernet.
, vol.36
, pp. 555-584
-
-
Osmolovskii, N.P.1
Maurer, H.2
-
26
-
-
4644330525
-
State-local optimality of a bangbang trajectory: A Hamiltonian apprach
-
L. Poggiolini, and G. Stefani State-local optimality of a bangbang trajectory: a Hamiltonian apprach Syst. Control Lett. 53 2004 269 279
-
(2004)
Syst. Control Lett.
, vol.53
, pp. 269-279
-
-
Poggiolini, L.1
Stefani, G.2
-
27
-
-
1942509708
-
On the local structure of optimal trajectories in R3
-
A. Agrachev, and M. Sigalotti On the local structure of optimal trajectories in R 3 SIAM J. Control Optim. 42 2003 513 531
-
(2003)
SIAM J. Control Optim.
, vol.42
, pp. 513-531
-
-
Agrachev, A.1
Sigalotti, M.2
-
28
-
-
0036575268
-
Sufficient conditions for relative minima of broken extremals in optimal control theory
-
J. Noble, and H. Schttler Sufficient conditions for relative minima of broken extremals in optimal control theory J. Math. Anal. Appl. 269 2002 98 128
-
(2002)
J. Math. Anal. Appl.
, vol.269
, pp. 98-128
-
-
Noble, J.1
Schttler, H.2
-
29
-
-
1542517195
-
Optimal bangbang controls for a two-compartment model in cancer chemotherapy
-
U. Ledzewicz, and H. Schttler Optimal bangbang controls for a two-compartment model in cancer chemotherapy J. Optim. Theory Appl. 114 2002 609 637
-
(2002)
J. Optim. Theory Appl.
, vol.114
, pp. 609-637
-
-
Ledzewicz, U.1
Schttler, H.2
-
30
-
-
0034453280
-
Regular synthesis and sufficient conditions for optimality
-
H.J. Sussmann, and B. Piccoli Regular synthesis and sufficient conditions for optimality SIAM J. Control Optim. 39 2 2000 359 410
-
(2000)
SIAM J. Control Optim.
, vol.39
, Issue.2
, pp. 359-410
-
-
Sussmann, H.J.1
Piccoli, B.2
-
32
-
-
0003040740
-
A Hamitonian approach to strong minima in optimal control
-
American Mathematical Society
-
A. Agrachev, G. Stefani, and P. Zezza A Hamitonian approach to strong minima in optimal control Proceedings of Symposia in Pure Mathematics vol. 64 1998 American Mathematical Society 11 22
-
(1998)
Proceedings of Symposia in Pure Mathematics
, vol.64
, pp. 11-22
-
-
Agrachev, A.1
Stefani, G.2
Zezza, P.3
-
33
-
-
84972487915
-
Application of the theory of quadratic forms in Hilbert spaces to the calculus of variations
-
M.R. Hestenes Application of the theory of quadratic forms in Hilbert spaces to the calculus of variations Pacific J. Math. 1 1951 525 582
-
(1951)
Pacific J. Math.
, vol.1
, pp. 525-582
-
-
Hestenes, M.R.1
-
34
-
-
1542312234
-
Second order optimality conditions for bangbang control problems
-
H. Maurer, and N.P. Osmolovskii Second order optimality conditions for bangbang control problems Control Cybernet. 32 3 2003 555 584
-
(2003)
Control Cybernet.
, vol.32
, Issue.3
, pp. 555-584
-
-
Maurer, H.1
Osmolovskii, N.P.2
-
35
-
-
34547510460
-
Second order optimality conditions in the smooth case and applications in optimal control
-
B. Bonnard, J.-B. Caillau, and E. Trlat Second order optimality conditions in the smooth case and applications in optimal control ESAIM Control Optim. Calc. Var. 13 2 2007 207 236
-
(2007)
ESAIM Control Optim. Calc. Var.
, vol.13
, Issue.2
, pp. 207-236
-
-
Bonnard, B.1
Caillau, J.-B.2
Trlat, E.3
-
38
-
-
19244367902
-
The relationship between the maximum principle and dynamic programming
-
F.H. Clarke, and R. Vinter The relationship between the maximum principle and dynamic programming SIAM J. Control Optim. 25 5 1987 1291 1311
-
(1987)
SIAM J. Control Optim.
, vol.25
, Issue.5
, pp. 1291-1311
-
-
Clarke, F.H.1
Vinter, R.2
-
39
-
-
17644427854
-
Semiconcave Functions, HamiltonJacobi Equations, and Optimal Control
-
Birkhuser Boston, Inc Boston, MA
-
P. Cannarsa, and C. Sinestrari Semiconcave Functions, HamiltonJacobi Equations, and Optimal Control Progress in Nonlinear Differential Equations and their Applications vol. 58 2004 Birkhuser Boston, Inc Boston, MA
-
(2004)
Progress in Nonlinear Differential Equations and Their Applications
, vol.58
-
-
Cannarsa, P.1
Sinestrari, C.2
-
40
-
-
17444430784
-
Morse-Sard type results in sub-Riemannian geometry
-
L. Rifford, and E. Trlat Morse-Sard type results in sub-Riemannian geometry Math. Ann. 332 1 2005 145 159
-
(2005)
Math. Ann.
, vol.332
, Issue.1
, pp. 145-159
-
-
Rifford, L.1
Trlat, E.2
-
41
-
-
74249110334
-
On the stabilization problem for nonholonomic distributions
-
L. Rifford, and E. Trlat On the stabilization problem for nonholonomic distributions J. Eur. Math. Soc. 11 2 2009 223 255
-
(2009)
J. Eur. Math. Soc.
, vol.11
, Issue.2
, pp. 223-255
-
-
Rifford, L.1
Trlat, E.2
-
42
-
-
78149239813
-
Regularity properties of the minimum-time map
-
Birkhuser Boston Boston, MA Nonlinear synthesis (Sopron, 1989)
-
G. Stefani Regularity properties of the minimum-time map Nonlinear synthesis (Sopron, 1989) Progr. Systems Control Theory vol. 9 1991 Birkhuser Boston Boston, MA 270 282
-
(1991)
Progr. Systems Control Theory
, vol.9
, pp. 270-282
-
-
Stefani, G.1
-
43
-
-
28444476416
-
Control theory from the geometric viewpoint
-
Springer-Verlag Berlin Control Theory and Optimization, II
-
A. Agrachev, and Y. Sachkov Control theory from the geometric viewpoint Control Theory and Optimization, II Encyclopaedia of Mathematical Sciences vol. 87 2004 Springer-Verlag Berlin
-
(2004)
Encyclopaedia of Mathematical Sciences
, vol.87
-
-
Agrachev, A.1
Sachkov, Y.2
-
44
-
-
0343090918
-
Parametrized families of extremals and singularities in solutions to the HamiltonJacobiBellman equation
-
M.D. Kiefer, and H. Schttler Parametrized families of extremals and singularities in solutions to the HamiltonJacobiBellman equation SIAM J. Control Optim. 37 1999 1346 1371
-
(1999)
SIAM J. Control Optim.
, vol.37
, pp. 1346-1371
-
-
Kiefer, M.D.1
Schttler, H.2
-
45
-
-
0012780415
-
Second order sufficient conditions and sensitivity analysis for the controlled Rayleigh problem
-
H. Maurer, and D. Augustin Second order sufficient conditions and sensitivity analysis for the controlled Rayleigh problem J. Guddat, Parametric Optimization and Related Topics, IV 1997 Lang Frankfurt 245 259
-
(1997)
Parametric Optimization and Related Topics, IV
, pp. 245-259
-
-
Maurer, H.1
Augustin, D.2
|