-
1
-
-
84968483603
-
The numerical integration of two-point boundary value problems
-
Goodman, T. R., Lance, G. N.: The numerical integration of two-point boundary value problems. Math. Tables Other Aids Comput. 10, 82-86 (1956).
-
(1956)
Math. Tables Other Aids Comput.
, vol.10
, pp. 82-86
-
-
Goodman, T.R.1
Lance, G.N.2
-
2
-
-
0004779658
-
Multiple shooting method for two-point boundary value problems
-
Morrison, D. D., Riley, J. D., Zancanaro, J. F.: Multiple shooting method for two-point boundary value problems. Commun. ACM 5, 613-614 (1962).
-
(1962)
Commun. ACM
, vol.5
, pp. 613-614
-
-
Morrison, D.D.1
Riley, J.D.2
Zancanaro, J.F.3
-
4
-
-
0003837322
-
-
Technical report, Carl-Cranz-Gesellschaft, Deutsches Zentrum für Luft- und Raumfahrt (DLR), Oberpfaffenhofen, Germany
-
Bulirsch, R.: Die Mehrzielmethode zur numerischen Lösung von nichtlinearen Randwertproblemen und Aufgaben der optimalen Steuerung. Technical report, Carl-Cranz-Gesellschaft, Deutsches Zentrum für Luft- und Raumfahrt (DLR), Oberpfaffenhofen, Germany (1971).
-
(1971)
Die Mehrzielmethode zur numerischen Lösung von nichtlinearen Randwertproblemen und Aufgaben der optimalen Steuerung
-
-
Bulirsch, R.1
-
5
-
-
0016920538
-
Numerical solution of singular control problems using multiple shooting techniques
-
Maurer, H.: Numerical solution of singular control problems using multiple shooting techniques. J. Optim. Theory Appl. 18(2), 235-257 (1976).
-
(1976)
J. Optim. Theory Appl.
, vol.18
, Issue.2
, pp. 235-257
-
-
Maurer, H.1
-
7
-
-
0018739521
-
Numerical computation of singular control problems with application to optimal heating and cooling by solar energy
-
Oberle, H. J.: Numerical computation of singular control problems with application to optimal heating and cooling by solar energy. Appl. Math. Optim. 5(4), 297-314 (1979).
-
(1979)
Appl. Math. Optim.
, vol.5
, Issue.4
, pp. 297-314
-
-
Oberle, H.J.1
-
8
-
-
0041337074
-
Finding candidate singular optimal controls: a state-of-the-art survey
-
Fraser-Andrews, G.: Finding candidate singular optimal controls: a state-of-the-art survey. J. Optim. Theory Appl. 60(2), 173-190 (1989).
-
(1989)
J. Optim. Theory Appl.
, vol.60
, Issue.2
, pp. 173-190
-
-
Fraser-Andrews, G.1
-
10
-
-
76149099867
-
Switching time optimization for bang-bang and singular controls
-
Vossen, G.: Switching time optimization for bang-bang and singular controls. J. Optim. Theory Appl. 144(2), 409-429 (2010).
-
(2010)
J. Optim. Theory Appl.
, vol.144
, Issue.2
, pp. 409-429
-
-
Vossen, G.1
-
12
-
-
84955868449
-
Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal
-
Bonnard, B., Kupka, I.: Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal. Forum Math. 5(2), 111-159 (1993).
-
(1993)
Forum Math.
, vol.5
, Issue.2
, pp. 111-159
-
-
Bonnard, B.1
Kupka, I.2
-
13
-
-
34547510460
-
Second order optimality conditions in the smooth case and applications in optimal control
-
(electronic)
-
Bonnard, B., Caillau, J. B., Trélat, E.: Second order optimality conditions in the smooth case and applications in optimal control. ESAIM Control Optim. Calc. Var. 13(2), 207-236 (2007) (electronic).
-
(2007)
ESAIM Control Optim. Calc. Var.
, vol.13
, Issue.2
, pp. 207-236
-
-
Bonnard, B.1
Caillau, J.B.2
Trélat, E.3
-
15
-
-
0030145422
-
Sensitivity analysis for parametric control problems with control-state constraints
-
Malanowski, K., Maurer, H.: Sensitivity analysis for parametric control problems with control-state constraints. Comput. Optim. Appl. 5, 253-283 (1996).
-
(1996)
Comput. Optim. Appl.
, vol.5
, pp. 253-283
-
-
Malanowski, K.1
Maurer, H.2
-
16
-
-
61549140731
-
Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Annals of I.H.P
-
Bonnans, J. F., Hermant, A.: Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints. Annals of I. H. P. Nonlinear Anal. 26, 561-598 (2009).
-
(2009)
Nonlinear Anal.
, vol.26
, pp. 561-598
-
-
Bonnans, J.F.1
Hermant, A.2
-
17
-
-
0002765941
-
Nonlinear least-squares
-
D. Jacobs (Ed.), London: Academic Press
-
Dennis, J. E.: Nonlinear least-squares. In: Jacobs, D. (ed.) The State-of-the-Art in Numerical Analysis, pp. 269-312. Academic Press, London (1977).
-
(1977)
The State-of-the-Art in Numerical Analysis
, pp. 269-312
-
-
Dennis, J.E.1
-
18
-
-
0003333302
-
Practical methods of optimization
-
A Wiley-Interscience Publication, Chichester: Wiley
-
Fletcher, R.: Practical methods of optimization. In: Unconstrained Optimization. A Wiley-Interscience Publication, vol. 1. Wiley, Chichester (1980).
-
(1980)
Unconstrained Optimization
, vol.1
-
-
Fletcher, R.1
-
19
-
-
0019610360
-
An adaptive nonlinear least-squares algorithm
-
Dennis, J. E., Gay, D. M., Welsch, R. E.: An adaptive nonlinear least-squares algorithm. ACM Trans. Math. Softw. 7, 348-368 (1981).
-
(1981)
ACM Trans. Math. Softw.
, vol.7
, pp. 348-368
-
-
Dennis, J.E.1
Gay, D.M.2
Welsch, R.E.3
-
20
-
-
0040224934
-
Quadratic weak minimum conditions for special situations in optimal control problems
-
Dmitruk, A. V.: Quadratic weak minimum conditions for special situations in optimal control problems. Dokl. Akad. Nauk SSSR 233(4), 523-526 (1977).
-
(1977)
Dokl. Akad. Nauk SSSR
, vol.233
, Issue.4
, pp. 523-526
-
-
Dmitruk, A.V.1
-
21
-
-
0012337378
-
Quadratic order conditions for a Pontryagin minimum in an optimal control problem linear in the control
-
Dmitruk, A. V.: Quadratic order conditions for a Pontryagin minimum in an optimal control problem linear in the control. Math. USSR, Izv. 28, 275-303 (1987).
-
(1987)
Math. USSR, Izv.
, vol.28
, pp. 275-303
-
-
Dmitruk, A.V.1
-
22
-
-
84856474949
-
Structural stability investigation of bang-singular-bang optimal controls
-
Felgenhauer, U.: Structural stability investigation of bang-singular-bang optimal controls. J. Optim. Theory Appl. 152(3), 605-631 (2012).
-
(2012)
J. Optim. Theory Appl.
, vol.152
, Issue.3
, pp. 605-631
-
-
Felgenhauer, U.1
-
24
-
-
0003716450
-
-
New York: Wiley-Interscience
-
Pontryagin, L., Boltyanski, V., Gamkrelidze, R., Michtchenko, E.: The Mathematical Theory of Optimal Processes. Wiley-Interscience, New York (1962).
-
(1962)
The Mathematical Theory of Optimal Processes
-
-
Pontryagin, L.1
Boltyanski, V.2
Gamkrelidze, R.3
Michtchenko, E.4
-
25
-
-
85007703841
-
A second variation test for singular extremals
-
Kelley, H. J.: A second variation test for singular extremals. AIAA J. 2, 1380-1382 (1964).
-
(1964)
AIAA J.
, vol.2
, pp. 1380-1382
-
-
Kelley, H.J.1
-
26
-
-
3042564732
-
The second variation for the singular Bolza problem
-
Goh, B. S.: The second variation for the singular Bolza problem. SIAM J. Control 4(2), 309-325 (1966).
-
(1966)
SIAM J. Control
, vol.4
, Issue.2
, pp. 309-325
-
-
Goh, B.S.1
-
27
-
-
0001460550
-
Necessary conditions for singular extremals involving multiple control variables
-
Goh, B. S.: Necessary conditions for singular extremals involving multiple control variables. SIAM J. Control 4, 716-731 (1966).
-
(1966)
SIAM J. Control
, vol.4
, pp. 716-731
-
-
Goh, B.S.1
-
29
-
-
85003207843
-
Singular extremals
-
New York: Academic Press
-
Kelley, H. J., Kopp, R. E., Moyer, H. G.: Singular extremals. In: Topics in Optimization, pp. 63-101. Academic Press, New York (1967).
-
(1967)
Topics in Optimization
, pp. 63-101
-
-
Kelley, H.J.1
Kopp, R.E.2
Moyer, H.G.3
-
30
-
-
0042734267
-
A generalized Legendre-Clebsch condition for the singular case of optimal control
-
Robbins, H. M.: A generalized Legendre-Clebsch condition for the singular case of optimal control. IBM J. Res. Dev. 11, 361-372 (1967).
-
(1967)
IBM J. Res. Dev.
, vol.11
, pp. 361-372
-
-
Robbins, H.M.1
-
32
-
-
0038732231
-
Higher order conditions for local minima in problems with constraints
-
272
-
Levitin, E. S., Milyutin, A. A., Osmolovskiǐ, N. P.: Higher order conditions for local minima in problems with constraints. Usp. Mat. Nauk 33(6(204)), 85-148 (1978). 272.
-
(1978)
Usp. Mat. Nauk
, vol.33
, Issue.6-204
, pp. 85-148
-
-
Levitin, E.S.1
Milyutin, A.A.2
Osmolovskiǐ, N.P.3
-
33
-
-
84892574173
-
Quadratic order conditions for bang-singular extremals
-
Special issue dedicated to Professor Helmut Maurer on the occasion of his 65th birthday
-
Aronna, M. S., Bonnans, J. F., Dmitruk, A. V., Lotito, P. A.: Quadratic order conditions for bang-singular extremals. Numer. Algebra Control Optim. 2(3), 511-546 (2012). Special issue dedicated to Professor Helmut Maurer on the occasion of his 65th birthday.
-
(2012)
Numer. Algebra Control Optim.
, vol.2
, Issue.3
, pp. 511-546
-
-
Aronna, M.S.1
Bonnans, J.F.2
Dmitruk, A.V.3
Lotito, P.A.4
-
35
-
-
0026754862
-
Sufficiency criteria via focal points and via coupled points
-
Zeidan, V.: Sufficiency criteria via focal points and via coupled points. SIAM J. Control Optim. 30(1), 82-98 (1992).
-
(1992)
SIAM J. Control Optim.
, vol.30
, Issue.1
, pp. 82-98
-
-
Zeidan, V.1
-
36
-
-
33847232765
-
-
Technical report RT/APO/05/1, ENSEEIHT-IRIT
-
Bonnard, B., Caillau, J.-B., Trélat, E.: Cotcot: Short reference manual. Technical report RT/APO/05/1, ENSEEIHT-IRIT, (2005).
-
(2005)
Cotcot: Short reference manual
-
-
Bonnard, B.1
Caillau, J.-B.2
Trélat, E.3
-
37
-
-
84954886334
-
Study of an optimum non-linear control system
-
Fuller, A. T.: Study of an optimum non-linear control system. J. Electron. Control 15, 63-71 (1963).
-
(1963)
J. Electron. Control
, vol.15
, pp. 63-71
-
-
Fuller, A.T.1
-
38
-
-
0032021498
-
Survey of numerical methods for trajectory optimization
-
Betts, J. T.: Survey of numerical methods for trajectory optimization. AIAA J. Guid. Control Dyn. 21, 193-207 (1998).
-
(1998)
AIAA J. Guid. Control Dyn.
, vol.21
, pp. 193-207
-
-
Betts, J.T.1
-
39
-
-
79955140439
-
Nonlinear programming: concepts, algorithms, and applications to chemical processes
-
Philadelphia: SIAM
-
Biegler, L. T.: Nonlinear programming: concepts, algorithms, and applications to chemical processes. In: MOS-SIAM Series on Optimization. SIAM, Philadelphia (2010).
-
(2010)
MOS-SIAM Series on Optimization
-
-
Biegler, L.T.1
-
40
-
-
53349171859
-
An application of PL continuation methods to singular arcs problems
-
Lectures Notes in Economics and Mathematical Systems, A. Seeger (Ed.), Berlin: Springer
-
Gergaud, J., Martinon, P.: An application of PL continuation methods to singular arcs problems. In: Seeger, A. (ed.) Recent Advances in Optimization. Lectures Notes in Economics and Mathematical Systems, vol. 563, pp. 163-186. Springer, Berlin (2006).
-
(2006)
Recent Advances in Optimization
, vol.563
, pp. 163-186
-
-
Gergaud, J.1
Martinon, P.2
-
41
-
-
54049094042
-
Singular arcs in the generalized Goddard's problem
-
Bonnans, J. F., Martinon, P., Trélat, E.: Singular arcs in the generalized Goddard's problem. J. Optim. Theory Appl. 139(2), 439-461 (2008).
-
(2008)
J. Optim. Theory Appl.
, vol.139
, Issue.2
, pp. 439-461
-
-
Bonnans, J.F.1
Martinon, P.2
Trélat, E.3
-
43
-
-
0018038130
-
The computation of optimal singular control
-
Aly, G. M.: The computation of optimal singular control. Int. J. Control 28(5), 681-688 (1978).
-
(1978)
Int. J. Control
, vol.28
, Issue.5
, pp. 681-688
-
-
Aly, G.M.1
-
44
-
-
0242616393
-
A method of reaching extreme altitudes
-
Washington: Smithsonian Institution
-
Goddard, R. H.: A method of reaching extreme altitudes. In: Smithsonian Miscellaneous Collections, vol. 71, No. 2. Smithsonian Institution, Washington (1919).
-
(1919)
Smithsonian Miscellaneous Collections
, vol.71
, Issue.2
-
-
Goddard, R.H.1
-
45
-
-
0027623614
-
Goddard problem in presence of a dynamic pressure limit
-
Seywald, H., Cliff, E. M.: Goddard problem in presence of a dynamic pressure limit. J. Guid. Control Dyn. 16(4), 776-781 (1993).
-
(1993)
J. Guid. Control Dyn.
, vol.16
, Issue.4
, pp. 776-781
-
-
Seywald, H.1
Cliff, E.M.2
-
46
-
-
84881081587
-
-
Research report Nr. 7380, INRIA
-
Martinon, P., Gergaud, J.: Shoot2. 0: An indirect grid shooting package for optimal control problems, with switching handling and embedded continuation. Research report Nr. 7380, INRIA, (2011).
-
(2011)
Shoot2. 0: An indirect grid shooting package for optimal control problems, with switching handling and embedded continuation
-
-
Martinon, P.1
Gergaud, J.2
-
47
-
-
0004152689
-
-
National Argonne Laboratory, Illinois
-
Garbow, B. S., Hillstrom, K. E., More, J. J.: User Guide for Minpack-1. National Argonne Laboratory, Illinois (1980).
-
(1980)
User Guide for Minpack-1
-
-
Garbow, B.S.1
Hillstrom, K.E.2
More, J.J.3
|