-
3
-
-
0012337378
-
Quadratic conditions for a Pontryagin minimum in an optimal control problem, linear in the control
-
DMITRUK A.V. (1987, 1988) Quadratic conditions for a Pontryagin minimum in an optimal control problem, linear in the control. Mathematics of the USSR, Izvestija, 28, 2, 275-303 and 31, 1, 121-141.
-
(1987)
Mathematics of the USSR, Izvestija
, vol.28-31
, Issue.1-2
, pp. 275-303
-
-
Dmitruk, A.V.1
-
4
-
-
0012225217
-
Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem
-
Differential Geometry and Control, Ferreyra et al., eds., American Mathematical Society
-
DMITRUK A.V. (1999) Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem. Proc. of Symposia in Pure Mathematics, v. 64, In: Differential Geometry and Control, Ferreyra et al., eds., American Mathematical Society, 163-198.
-
(1999)
Proc. of Symposia in Pure Mathematics
, vol.64
, pp. 163-198
-
-
Dmitruk, A.V.1
-
5
-
-
0026943984
-
Investigation of extremals in the problem of fastest dicplacement of a pendulum controlled by the suspension point
-
DMITRUK, A.V. and OSMOLOVSKII, N.P. (1992, 1994) Investigation of extremals in the problem of fastest dicplacement of a pendulum controlled by the suspension point. Izv. Ross. Akad. Nauk, Ser. Techn. Kibernet., 6, 101-109; Engl. transl., J. Comput. Systems Sci. Internat. 32, 4, 116-125.
-
(1992)
Izv. Ross. Akad. Nauk, Ser. Techn. Kibernet.
, vol.6
, pp. 101-109
-
-
Dmitruk, A.V.1
Osmolovskii, N.P.2
-
6
-
-
0012305567
-
-
Engl. transl.
-
DMITRUK, A.V. and OSMOLOVSKII, N.P. (1992, 1994) Investigation of extremals in the problem of fastest dicplacement of a pendulum controlled by the suspension point. Izv. Ross. Akad. Nauk, Ser. Techn. Kibernet., 6, 101-109; Engl. transl., J. Comput. Systems Sci. Internat. 32, 4, 116-125.
-
J. Comput. Systems Sci. Internat.
, vol.32
, Issue.4
, pp. 116-125
-
-
-
7
-
-
0027590079
-
Lipschitz stability in nonlinear control and optimization
-
DONTCHEV, A.L. and HAGER, W.W. (1993) Lipschitz stability in nonlinear control and optimization. SIAM J. Control Optim., 31, 569-603.
-
(1993)
SIAM J. Control Optim.
, vol.31
, pp. 569-603
-
-
Dontchev, A.L.1
Hager, W.W.2
-
8
-
-
0001496674
-
Optimality, stability and convergence in nonlinear control
-
DONTCHEV, A.L., HAGER, W.W., POORE, A.B., and YANG, B. (1995) Optimality, stability and convergence in nonlinear control. Applied Math, and Optim., 31, 297-326.
-
(1995)
Applied Math, and Optim.
, vol.31
, pp. 297-326
-
-
Dontchev, A.L.1
Hager, W.W.2
Poore, A.B.3
Yang, B.4
-
9
-
-
0003213150
-
Problems for extremum under constraints
-
DUBOVITSKII, A.YA. and MILYUTIN, A.A. (1965) Problems for extremum under constraints. Zh. Vychislit. Mat. i Mat. Fiz., 5, 3, 395-453; English transl. in: U.S.S.R. Comput. Math, and Math. Phys. 5.
-
(1965)
Zh. Vychislit. Mat. i Mat. Fiz.
, vol.5
, Issue.3
, pp. 395-453
-
-
Dubovitskii, A.Ya.1
Milyutin, A.A.2
-
10
-
-
0012275465
-
-
English transl.
-
DUBOVITSKII, A.YA. and MILYUTIN, A.A. (1965) Problems for extremum under constraints. Zh. Vychislit. Mat. i Mat. Fiz., 5, 3, 395-453; English transl. in: U.S.S.R. Comput. Math, and Math. Phys. 5.
-
U.S.S.R. Comput. Math, and Math. Phys.
, vol.5
-
-
-
11
-
-
0002318110
-
Second variations in extremum problems with constraints
-
DUBOVITSKII, A.YA. and MILYUTIN, A.A. (1965) Second variations in extremum problems with constraints. Doklady Akad. Nauk SSSR, 160, 1821; English transl. in Soviet Math. Dokl. 6, 12-16.
-
(1965)
Doklady Akad. Nauk SSSR
, vol.160
, pp. 18-21
-
-
Dubovitskii, A.Ya.1
Milyutin, A.A.2
-
12
-
-
0012277558
-
-
English transl.
-
DUBOVITSKII, A.YA. and MILYUTIN, A.A. (1965) Second variations in extremum problems with constraints. Doklady Akad. Nauk SSSR, 160, 1821; English transl. in Soviet Math. Dokl. 6, 12-16.
-
Soviet Math. Dokl.
, vol.6
, pp. 12-16
-
-
-
14
-
-
0012277559
-
-
V.L. Levin ed., Metody teorii extremal'nych zadach v ekonomike (Methods of the theory of extremum problems in economics) Nauka, Moscow (in Russian).
-
DUBOVITSKII, A.YA. and MILYUTIN, A.A. (1981) Theory of maximum principal. In: V.L. Levin ed., Metody teorii extremal'nych zadach v ekonomike (Methods of the theory of extremum problems in economics) Nauka, Moscow (in Russian).
-
(1981)
Theory of Maximum Principal
-
-
Dubovitskii, A.Ya.1
Milyutin, A.A.2
-
15
-
-
0029378576
-
∞ functions with range in a polyhedron
-
∞ functions with range in a polyhedron. SIAM J. Control Optimization, 33, 5, 1603-1635.
-
(1995)
SIAM J. Control Optimization
, vol.33
, Issue.5
, pp. 1603-1635
-
-
Dunn, J.C.1
-
16
-
-
0030194742
-
2 sufficient conditions and the gradient projection method for optimal control problems
-
2 sufficient conditions and the gradient projection method for optimal control problems. SIAM J. Control Optimization, 34, 4, 1270-1290.
-
(1996)
SIAM J. Control Optimization
, vol.34
, Issue.4
, pp. 1270-1290
-
-
Dunn, J.C.1
-
17
-
-
0018441517
-
Necessary and sufficient conditions for a local minimum I: A reduction theorem and first order conditions, II: Conditions of Levitin-Milyutin-Osmolovskii type, III: Second order conditions and augmented duality
-
IOFFE, A.D. (1979) Necessary and sufficient conditions for a local minimum I: A reduction theorem and first order conditions, II: Conditions of Levitin-Milyutin-Osmolovskii type, III: Second order conditions and augmented duality. SIAM J. Control Optimization, 17: 245-250, 251-265 and 266-288.
-
(1979)
SIAM J. Control Optimization
, vol.17
, pp. 245-250
-
-
Ioffe, A.D.1
-
19
-
-
0003326145
-
On conditions for a local minimum in a problem with constraints
-
B.S. Mityagin, ed., Nauka, Moscow (in Russian)
-
LEVITIN, E.S, MILYUTIN, A.A., and OSMOLOVSKII, N.P. (1974) On conditions for a local minimum in a problem with constraints. In: Mathematical economics and functional analysis, B.S. Mityagin, ed., Nauka, Moscow (in Russian).
-
(1974)
Mathematical Economics and Functional Analysis
-
-
Levitin, E.S.1
Milyutin, A.A.2
Osmolovskii, N.P.3
-
20
-
-
84956208613
-
Higher order conditions for a local minimum in the problems with constraints
-
LEVITIN, E.S, MILYUTIN, A.A., and OSMOLOVSKII, N.P. (1978) Higher order conditions for a local minimum in the problems with constraints. Russian Math. Surveys 33, 6, 97-168.
-
(1978)
Russian Math. Surveys
, vol.33
, Issue.6
, pp. 97-168
-
-
Levitin, E.S.1
Milyutin, A.A.2
Osmolovskii, N.P.3
-
21
-
-
0012322164
-
Theory of higher-order conditions in smooth constrained extremum problems
-
Nauka, Novosibirsk
-
LEVITIN, E.S, MILYUTIN, A.A., and OSMOLOVSKII, N.P. (1985) Theory of higher-order conditions in smooth constrained extremum problems. In: Teoreticheskie i Prikladnye Voprosy Optimal'nogo upravleniya (Theoretical and Applied Issues of Optimal control), Nauka, Novosibirsk, 4-40.
-
(1985)
Teoreticheskie i Prikladnye Voprosy Optimal'nogo Upravleniya (Theoretical and Applied Issues of Optimal Control)
, pp. 4-40
-
-
Levitin, E.S.1
Milyutin, A.A.2
Osmolovskii, N.P.3
-
22
-
-
0000570227
-
First and second order sufficient optimality conditions in mathematical programming and optimal control
-
MAURER, H. (1981) First and second order sufficient optimality conditions in mathematical programming and optimal control. Mathematical Programming Study, 14, 163-177.
-
(1981)
Mathematical Programming Study
, vol.14
, pp. 163-177
-
-
Maurer, H.1
-
24
-
-
21844518109
-
Second order sufficient conditions for optimal control problems with mixed control-state constraints
-
MAURER, H. and PICKENHAIN, S. (1995) Second order sufficient conditions for optimal control problems with mixed control-state constraints. J. Optim. Theory and Applications, 86, 649-667.
-
(1995)
J. Optim. Theory and Applications
, vol.86
, pp. 649-667
-
-
Maurer, H.1
Pickenhain, S.2
-
25
-
-
8344268045
-
-
Nauka, Moscow
-
MILYUTIN, A. A., ILYNTOVICH, A. E., OSMOLOVSKII, N. P., AND CHUKANOV, S. V. (1993) Optimal'noe Upravlenie v Lineinykh Sistemakh (Optimal Control for Linear Systems). Nauka, Moscow.
-
(1993)
Optimal'noe Upravlenie v Lineinykh Sistemakh (Optimal Control for Linear Systems)
-
-
Milyutin, A.A.1
Ilyntovich, A.E.2
Osmolovskii, N.P.3
Chukanov, S.V.4
-
26
-
-
0012330675
-
High-order conditions for a minimum on a set of sequences in the abstarct problem with inequality and equality constraints
-
Consultants Bureuau, N.-Y.
-
MILYUTIN, A.A. and OSMOLOVSKII, N.P. (1993) High-order Conditions for a minimum on a set of sequences in the abstarct problem with inequality and equality constraints. Computational Mathematics and Modeling, 4 4, Consultants Bureuau, N.-Y., 393-418.
-
(1993)
Computational Mathematics and Modeling
, vol.4
, Issue.4
, pp. 393-418
-
-
Milyutin, A.A.1
Osmolovskii, N.P.2
-
27
-
-
0003558940
-
-
Translations of mathematical monographs, American Mathematical Society, Providence, Rhode Island
-
MILYUTIN, A.A. and OSMOLOVSKII, N.P. (1998) Calculus of Variations and Optimal Control. Translations of mathematical monographs 180, American Mathematical Society, Providence, Rhode Island.
-
(1998)
Calculus of Variations and Optimal Control
, vol.180
-
-
Milyutin, A.A.1
Osmolovskii, N.P.2
-
29
-
-
0002525145
-
On sufficient conditions for a strong local minimum of broken extremals in optimal control theory
-
(M. Polis et al., Eds.,) Chapman&Hall/CRC
-
NOBLE, J. and SHATTLER, H. (1999) On sufficient conditions for a strong local minimum of broken extremals in optimal control theory. In: Systems Modelling and Optimization, (M. Polis et al., Eds.,) Chapman&Hall/CRC, 171-180.
-
(1999)
Systems Modelling and Optimization
, pp. 171-180
-
-
Noble, J.1
Shattler, H.2
-
30
-
-
0036575268
-
Sufficient conditions for relative minima of broken extremals in optimal control theory
-
to appear
-
NOBLE, J. and SHATTLER, H. (2002) Sufficient conditions for relative minima of broken extremals in optimal control theory. J. of Mathematical Analysis and Applications, to appear.
-
(2002)
J. of Mathematical Analysis and Applications
-
-
Noble, J.1
Shattler, H.2
-
32
-
-
0012224848
-
Second-order conditions for a weak local minimum in an optimal control problem: Necessity and sufficiency
-
OSMOLOVSKII, N.P. (1975) Second-order conditions for a weak local minimum in an optimal control problem: necessity and sufficiency. Dokl. Akad. Nauk SSSR, 225, 3, 259-262.
-
(1975)
Dokl. Akad. Nauk SSSR
, vol.225
, Issue.3
, pp. 259-262
-
-
Osmolovskii, N.P.1
-
33
-
-
0012276035
-
On the system of linear inequalities on a convex set
-
OSMOLOVSKII, N.P. (1977) On the system of linear inequalities on a convex set. Uspekhi Matem. Nauk, 32, 2, 223-224.
-
(1977)
Uspekhi Matem. Nauk
, vol.32
, Issue.2
, pp. 223-224
-
-
Osmolovskii, N.P.1
-
36
-
-
0012225452
-
High-order necessary and sufficient conditions for Pontryagin and bounded-strong minima in optimal control problems
-
OSMOLOVSKII, N.P. (1988B) High-order necessary and sufficient conditions for Pontryagin and bounded-strong minima in optimal control problems. Dokl. Akad. Nauk SSSR, 303, 5, 1052-1056.
-
(1988)
Dokl. Akad. Nauk SSSR
, vol.303
, Issue.5
, pp. 1052-1056
-
-
Osmolovskii, N.P.1
-
37
-
-
0012274218
-
Second-order conditions in a time-optimal control problem for linear systems
-
(M. Thoma and A. Wyner, eds.), IFIP 143, System Modeling and Optimization (Proceedings of the IFIP Conference, Leipzig, GDR, July 3-7, 1989) (H.-J. Sebastian and K. Tammer, eds.), Springer-Verlag
-
OSMOLOVSKII, N.P. (1989) Second-order conditions in a time-optimal control problem for linear systems. Lecture Notes in Control and Information Sciences (M. Thoma and A. Wyner, eds.), IFIP 143, 368-376, System Modeling and Optimization (Proceedings of the IFIP Conference, Leipzig, GDR, July 3-7, 1989) (H.-J. Sebastian and K. Tammer, eds.), Springer-Verlag.
-
(1989)
Lecture Notes in Control and Information Sciences
, pp. 368-376
-
-
Osmolovskii, N.P.1
-
38
-
-
0012277561
-
Investigation of extremals in the generelized isoperimetric problem using high-order conditions
-
Consultants Bureuau, N.-Y.
-
OSMOLOVSKII, N.P. (1994) Investigation of extremals in the generelized isoperimetric problem using high-order conditions. Computational Mathematics and Modeling, 3, 4, Consultants Bureuau, N.-Y., 419-425.
-
(1994)
Computational Mathematics and Modeling
, vol.3
, Issue.4
, pp. 419-425
-
-
Osmolovskii, N.P.1
-
39
-
-
0001641024
-
Quadratic conditions for nonsingular extremals in optimal control (a theoretical treatment)
-
OSMOLOVSKII, N.P. (1995) Quadratic conditions for nonsingular extremals in optimal control (a theoretical treatment). Russian Journal of Math. Physics, 2, 4, 487-516.
-
(1995)
Russian Journal of Math. Physics
, vol.2
, Issue.4
, pp. 487-516
-
-
Osmolovskii, N.P.1
-
40
-
-
0031327651
-
Quadratic conditions for nonsingular extremals in optimal control (examples)
-
OSMOLOVSKII, N.P. (1998) Quadratic conditions for nonsingular extremals in optimal control (examples). Russian Journal of Math. Physics, 5, 3, 373-388.
-
(1998)
Russian Journal of Math. Physics
, vol.5
, Issue.3
, pp. 373-388
-
-
Osmolovskii, N.P.1
-
41
-
-
0002356718
-
-
(Technion 1998), A. Ioffe, S. Reich and I. Shafir, eds., Chapman & Hall/CRC, Boca Raton, Florida
-
OSMOLOVSKII, N.P. (2000) Second-order conditions for broken extremals. In: Calculus of Variations and Optimal Control (Technion 1998), A. Ioffe, S. Reich and I. Shafir, eds., Chapman & Hall/CRC, Boca Raton, Florida, 198-216.
-
(2000)
Second-order Conditions for Broken Extremals. In: Calculus of Variations and Optimal Control
, pp. 198-216
-
-
Osmolovskii, N.P.1
-
42
-
-
0012225219
-
Quadratic extremality conditions for broken extremals in the problem of the calculus of variations
-
(translated from Progress in Science and Technology, Series on Contemporary Mathematics and Its Applications, Thematic Surveys, Dynamical Systems)
-
OSMOLOVSKII, N.P. (2002) Quadratic extremality conditions for broken extremals in the problem of the calculus of variations. To appear in: J. Math. Science (translated from Progress in Science and Technology, Series on Contemporary Mathematics and Its Applications, Thematic Surveys, Dynamical Systems, 114).
-
(2002)
J. Math. Science
, vol.114
-
-
Osmolovskii, N.P.1
-
43
-
-
0012227039
-
Jacobi-type conditions and Riccati equation for broken extremal
-
OSMOLOVSKII, N.P. and LEMPIO, F. (2000) Jacobi-type conditions and Riccati equation for broken extremal. Journal of Math. Sci., 100 5, 2572-2592.
-
(2000)
Journal of Math. Sci.
, vol.100
, Issue.5
, pp. 2572-2592
-
-
Osmolovskii, N.P.1
Lempio, F.2
-
44
-
-
0141568839
-
Transformation of quadratic forms to perfect squares for broken extremals
-
OSMOLOVSKII, N.P. and LEMPIO, F. (2002) Transformation of quadratic forms to perfect squares for broken extremals. Journal of Set Valued Analysis, 10, 209-232.
-
(2002)
Journal of Set Valued Analysis
, vol.10
, pp. 209-232
-
-
Osmolovskii, N.P.1
Lempio, F.2
-
45
-
-
0000847161
-
Sufficient conditions for local optimality in multidimensional control problems with state restrictions
-
PICKENHAIN, S. and TAMMER, K. (1991) Sufficient conditions for local optimality in multidimensional control problems with state restrictions. Z. Anal. Anw., 10, 397-405.
-
(1991)
Z. Anal. Anw.
, vol.10
, pp. 397-405
-
-
Pickenhain, S.1
Tammer, K.2
-
46
-
-
0000925716
-
Sufficiency conditions for weak local minima in multidimensional optimal control problems with mixed control-state restrictions
-
PICKENHAIN, S. (1992) Sufficiency conditions for weak local minima in multidimensional optimal control problems with mixed control-state restrictions. Z. Anal. Anw., 11, 559-568.
-
(1992)
Z. Anal. Anw.
, vol.11
, pp. 559-568
-
-
Pickenhain, S.1
-
47
-
-
0030826051
-
First and second-order sufficient optimality conditions for bang-bang controls
-
SARYCHEV, A. (1997) First and second-order sufficient optimality conditions for bang-bang controls. SIAM J. Control and Optimization, 35, 315-340.
-
(1997)
SIAM J. Control and Optimization
, vol.35
, pp. 315-340
-
-
Sarychev, A.1
-
48
-
-
0001312592
-
Sufficient conditions for the Generalized problem of Bolza
-
ZEIDAN, V. (1983) Sufficient conditions for the Generalized problem of Bolza. Transactions of the American Mathematical Society, 275, 561-586.
-
(1983)
Transactions of the American Mathematical Society
, vol.275
, pp. 561-586
-
-
Zeidan, V.1
-
49
-
-
0001927665
-
Sufficiency conditions with minimal regularity assumption
-
ZEIDAN, V. (1989) Sufficiency conditions with minimal regularity assumption. Appl. Math. Optim., 20, 5, 19-31.
-
(1989)
Appl. Math. Optim.
, vol.20
, Issue.5
, pp. 19-31
-
-
Zeidan, V.1
-
50
-
-
0028501238
-
The Riccati equation for optimal control problems with mixed state-control constraints: Necessity and sufficiency
-
ZEIDAN, V. (1994) The Riccati equation for optimal control problems with mixed state-control constraints: necessity and sufficiency. SIAM J. Control and Optimization, 32, 5, 1297-1321.
-
(1994)
SIAM J. Control and Optimization
, vol.32
, Issue.5
, pp. 1297-1321
-
-
Zeidan, V.1
|