NECESSARY OPTIMALITY CONDITIONS IN AN ABNORMAL OPTIMIZATION PROBLEM WITH EQUALITY CONSTRAINTS СтатьяArutyunov A.V., Karamzin D.Yu.Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 1293-1298
DIRECTIONAL METRIC REGULARITY OF MAPPINGS AND STABILITY THEOREMS СтатьяAvakov E.R., Arutyunov A.V., Izmailov A.F.Doklady Mathematics. Том 74. 2006. С. 473-476
NECESSARY CONDITIONS FOR AN EXTREMUM IN 2-REGULAR PROBLEMS СтатьяAvakov E.R., Arutyunov A.V., Izmailov A.F.Doklady Mathematics. Том 73. 2006. С. 340-343
DIRECTIONAL STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY СтатьяArutyunov A.V., Izmailov A.F.Mathematics of Operations Research. Том 31. 2006. С. 526-543
ON THE CONSISTENCY OF LINEAR AND QUADRATIC SYSTEMS СтатьяArutyunov A.V., Kruglova E.V.Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 537-540
IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY СтатьяArutyunov A.V.Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 195-205
SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS СтатьяArutyunov A., Pereira F.L.Mathematics of Operations Research. Том 31. 2006. С. 1-12
CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS СтатьяArutyunov A.V.Differential Equations. Том 42. 2006. С. 1515-1523
COVERING OF NONLINEAR MAPS ON A CONE IN NEIGHBORHOODS OF IRREGULAR POINTS СтатьяArutyunov A.V.Mathematical Notes. Том 77. 2005. С. 447-460
IMPLICIT-FUNCTION THEOREM ON THE CONE IN A NEIGHBORHOOD OF AN IRREGULAR POINT СтатьяArutyunov A.V.Mathematical Notes. Том 78. 2005. С. 573-576
ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS СтатьяArutyunov A.V.Doklady Akademii Nauk. Том 402. 2005. С. 295-297
ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS СтатьяArutyunov A.V.Russian Mathematical Surveys. Том 60. 2005. С. 157-158
A NONDEGENERATE MAXIMUM PRINCIPLE FOR THE IMPULSE CONTROL PROBLEM WITH STATE CONSTRAINTS СтатьяArutyunov A., Karamzin D., Pereira F.SIAM Journal on Control and Optimization. Том 43. 2005. С. 1812-1843
NECESSARY CONDITIONS FOR IMPULSIVE NONLINEAR OPTIMAL CONTROL PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS СтатьяArutyunov A., Dykhta V., Pereira F.L.Journal of Optimization Theory and Applications. Том 124. 2005. С. 55-77
NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS СтатьяArutyunov A.V., Pereira F.L.Doklady Mathematics. Том 71. 2005. С. 442-445
SENSITIVITY ANALYSIS FOR CONE-CONSTRAINED OPTIMIZATION PROBLEMS UNDER THE RELAXED CONSTRAINT QUALIFICATIONS СтатьяArutyunov A.V., Izmailov A.F.Mathematics of Operations Research. Том 30. 2005. С. 333-353
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS СтатьяArutyunov A.V.Doklady Mathematics. Том 71. 2005. С. 370-372
SECOND-ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL СтатьяArutyunov A., Pereira F.IFAC Proceedings Volumes (IFAC-PapersOnline). Том 16. 2005. С. 483-488
NONDEGENERATE NECESSARY CONDITIONS OF OPTIMALITY FOR PROBLEMS WITHOUT NORMALITY ASSUMPTIONS СтатьяArutyunov A., Pereira F.L.Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Том 2005. 2005. С. 7302-7307
ON CONVERGENCE RATE ESTIMATES FOR POWER PENALTY METHODS СтатьяAvakov E.R., Arutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Том 44. 2004. С. 1684-1695
NECESSARY OPTIMALITY CONDITIONS FOR IMPULSIVE CONTROL PROBLEMS СтатьяArutyunov A., Dykhta V., Karamzin D., Pereira F.IFAC Proceedings Volumes (IFAC-PapersOnline). Том 37. 2004. С. 2-12
TANGENT VECTORS TO A ZERO SET AT ABNORMAL POINTS СтатьяArutyunov A.V., Izmailov A.F.Journal of Mathematical Analysis and Applications. Том 289. 2004. С. 66-76
TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS СтатьяArutyunov A.V., Pavlova N.G.Differential Equations. Том 40. 2004. С. 1645-1648
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY СтатьяArutyunov A.V., Izmailov A.F.Mathematical Programming. Том 100. 2004. С. 485-515
SENSITIVITY ANALYSIS OF ABNORMAL CONE-CONSTRAINED OPTIMIZATION PROBLEMS СтатьяArutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Том 44. 2004. С. 552-574
SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS СтатьяArutyunov A.V.Doklady Mathematics. Том 70. 2004. С. 904-907
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE СтатьяAvakov E.R., Arutyunov A.V.Doklady Mathematics. Том 70. 2004. С. 924-927
NONDEGENERATE NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS WITH STATE CONSTRAINTS СтатьяArutyunov A., Karamzin D., Pereira F.Proceedings of the IEEE Conference on Decision and Control. Том 1. 2003. С. 233-238
SENSITIVITY THEORY FOR ABNORMAL OPTIMIZATION PROBLEMS WITH EQUALITY CONSTRAINTS СтатьяArutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Том 43. 2003. С. 178-193
FIRST AND SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS СтатьяArutyunov A., Dykhta V., Pereira F.Proceedings of the IEEE Conference on Decision and Control. Том 6. 2003. С. 6357-6362
POSITIVE DEFINITENESS OF FORMS: NUMERICAL IDENTIFICATION СтатьяArutyunov A.V., Izmailov A.F.SIAM Journal on Control and Optimization. Том 41. 2003. С. 1567-1585
INVERSE FUNCTION THEOREM ON A CONE IN THE NEIGHBORHOOD OF AN ABNORMAL POINT СтатьяArutyunov A.V.Doklady Mathematics. Том 67. 2003. С. 149-152
SECOND ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS СтатьяArutyunov A., Jaćimović V., Pereira F.Journal of Dynamical and Control Systems. Том 9. 2003. С. 131-153
CHECKING THE DEFINITENESS OF FORMS СтатьяArutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Том 42. 2002. С. 767-780
ON NECESSARY SECOND-ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS СтатьяArutyunov A.V., Vereshchagina Yu.S.Differential Equations. Том 38. 2002. С. 1531-1540
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL SYSTEMS СтатьяArutyunov A., Jacimović V., Pereira F.Proceedings of the IEEE Conference on Decision and Control. Том 2. 2002. С. 1576-1581
POSITIVE QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS СтатьяArutyunov A.V.Mathematical Notes. Том 71. 2002. С. 25-33
A PROBLEM OF OPTIMAL DISTRIBUTION OF RESOURCES OVER A SET OF INDEPENDENT OPERATIONS СтатьяArutyunov A.V., Burkov V.N., Zalozhnev A.Yu., Karamzin D.Yu.Automation and Remote Control. Том 63. 2002. С. 792-802
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS СтатьяArutyunov A.V., Jacimovic V.Differential Equations. Том 38. 2002. С. 1081-1094
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS СтатьяArutyunov A.V.Doklady Mathematics. Том 63. 2001. С. 182-184
CONDITIONS FOR A HIGH-ORDER EXTREMUM AND TANGENT VECTORS AT AN ABNORMAL POINT СтатьяArutyunov A.V.Doklady Mathematics. Том 64. 2001. С. 381-384
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS СтатьяArutyunov A.V.Differential Equations. Том 37. 2001. С. 1627-1630
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS СтатьяArutyunov A., Jaćimović V., Pereira F.2001 European Control Conference, ECC 2001. 2001. С. 2759-2763
BIFURCATION THEOREMS VIA SECOND-ORDER OPTIMALITY CONDITIONS СтатьяArutyunov A.V., Izmailov A.F.Journal of Mathematical Analysis and Applications. Том 262. 2001. С. 564-576
IMPLICIT FUNCTION THEOREM AS A REALIZATION OF THE LAGRANGE PRINCIPLE. ABNORMAL POINTS СтатьяArutyunov A.V.Sbornik Mathematics. Том 191. 2000. С. 1-24
CALCULATION OF THE CONE TANGENT TO THE IMAGE OF A MAPPING AT A SINGULAR POINT СтатьяArutyunov A.V.Doklady Mathematics. Том 62. 2000. С. 351-352
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS СтатьяArutyunov A.V.Doklady Mathematics. Том 61. 2000. С. 158-161
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS СтатьяArutyunov A.V.Doklady Mathematics. Том 60. 1999. С. 231-234
REGULAR ZEROS OF A QUADRATIC MAPPING AND LOCAL CONTROLLABILITY OF NONLINEAR SYSTEMS СтатьяArutyunov A.V., Rozova V.N.Differential Equations. Том 35. 1999. С. 723-728
SECOND-ORDER CONDITIONS IN EXTREMAL PROBLEMS. THE ABNORMAL POINTS СтатьяArutyunov A.V.Transactions of the American Mathematical Society. Том 350. 1998. С. 4341-4365