NECESSARY OPTIMALITY CONDITIONS IN AN ABNORMAL OPTIMIZATION PROBLEM WITH EQUALITY CONSTRAINTS ArticleArutyunov A.V., Karamzin D.Yu.Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 1293-1298
DIRECTIONAL METRIC REGULARITY OF MAPPINGS AND STABILITY THEOREMS ArticleAvakov 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 ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Doklady Mathematics. Том 73. 2006. С. 340-343
DIRECTIONAL STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY ArticleArutyunov A.V., Izmailov A.F.Mathematics of Operations Research. Том 31. 2006. С. 526-543
ON THE CONSISTENCY OF LINEAR AND QUADRATIC SYSTEMS ArticleArutyunov 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 ArticleArutyunov 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 ArticleArutyunov A., Pereira F.L.Mathematics of Operations Research. Том 31. 2006. С. 1-12
CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS ArticleArutyunov A.V.Differential Equations. Том 42. 2006. С. 1515-1523
COVERING OF NONLINEAR MAPS ON A CONE IN NEIGHBORHOODS OF IRREGULAR POINTS ArticleArutyunov A.V.Mathematical Notes. Том 77. 2005. С. 447-460
IMPLICIT-FUNCTION THEOREM ON THE CONE IN A NEIGHBORHOOD OF AN IRREGULAR POINT ArticleArutyunov A.V.Mathematical Notes. Том 78. 2005. С. 573-576
ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS ArticleArutyunov A.V.Doklady Akademii Nauk. Том 402. 2005. С. 295-297
ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS ArticleArutyunov A.V.Russian Mathematical Surveys. Том 60. 2005. С. 157-158
A NONDEGENERATE MAXIMUM PRINCIPLE FOR THE IMPULSE CONTROL PROBLEM WITH STATE CONSTRAINTS ArticleArutyunov 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 ArticleArutyunov 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 ArticleArutyunov 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 ArticleArutyunov A.V., Izmailov A.F.Mathematics of Operations Research. Том 30. 2005. С. 333-353
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS ArticleArutyunov A.V.Doklady Mathematics. Том 71. 2005. С. 370-372
SECOND-ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL ArticleArutyunov A., Pereira F.IFAC Proceedings Volumes (IFAC-PapersOnline). Том 16. 2005. С. 483-488
NONDEGENERATE NECESSARY CONDITIONS OF OPTIMALITY FOR PROBLEMS WITHOUT NORMALITY ASSUMPTIONS ArticleArutyunov 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 ArticleAvakov 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 ArticleArutyunov 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 ArticleArutyunov 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 ArticleArutyunov A.V., Pavlova N.G.Differential Equations. Том 40. 2004. С. 1645-1648
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY ArticleArutyunov A.V., Izmailov A.F.Mathematical Programming. Том 100. 2004. С. 485-515
SENSITIVITY ANALYSIS OF ABNORMAL CONE-CONSTRAINED OPTIMIZATION PROBLEMS ArticleArutyunov 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 ArticleArutyunov A.V.Doklady Mathematics. Том 70. 2004. С. 904-907
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE ArticleAvakov E.R., Arutyunov A.V.Doklady Mathematics. Том 70. 2004. С. 924-927
NONDEGENERATE NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS WITH STATE CONSTRAINTS ArticleArutyunov 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 ArticleArutyunov 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 ArticleArutyunov 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 ArticleArutyunov 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 ArticleArutyunov A.V.Doklady Mathematics. Том 67. 2003. С. 149-152
SECOND ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A., Jaćimović V., Pereira F.Journal of Dynamical and Control Systems. Том 9. 2003. С. 131-153
CHECKING THE DEFINITENESS OF FORMS ArticleArutyunov 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 ArticleArutyunov A.V., Vereshchagina Yu.S.Differential Equations. Том 38. 2002. С. 1531-1540
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL SYSTEMS ArticleArutyunov 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 ArticleArutyunov A.V.Mathematical Notes. Том 71. 2002. С. 25-33
A PROBLEM OF OPTIMAL DISTRIBUTION OF RESOURCES OVER A SET OF INDEPENDENT OPERATIONS ArticleArutyunov 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 ArticleArutyunov A.V., Jacimovic V.Differential Equations. Том 38. 2002. С. 1081-1094
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS ArticleArutyunov A.V.Doklady Mathematics. Том 63. 2001. С. 182-184
CONDITIONS FOR A HIGH-ORDER EXTREMUM AND TANGENT VECTORS AT AN ABNORMAL POINT ArticleArutyunov A.V.Doklady Mathematics. Том 64. 2001. С. 381-384
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS ArticleArutyunov A.V.Differential Equations. Том 37. 2001. С. 1627-1630
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A., Jaćimović V., Pereira F.2001 European Control Conference, ECC 2001. 2001. С. 2759-2763
BIFURCATION THEOREMS VIA SECOND-ORDER OPTIMALITY CONDITIONS ArticleArutyunov 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 ArticleArutyunov 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 ArticleArutyunov A.V.Doklady Mathematics. Том 62. 2000. С. 351-352
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS ArticleArutyunov A.V.Doklady Mathematics. Том 61. 2000. С. 158-161
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS ArticleArutyunov A.V.Doklady Mathematics. Том 60. 1999. С. 231-234
REGULAR ZEROS OF A QUADRATIC MAPPING AND LOCAL CONTROLLABILITY OF NONLINEAR SYSTEMS ArticleArutyunov A.V., Rozova V.N.Differential Equations. Том 35. 1999. С. 723-728
SECOND-ORDER CONDITIONS IN EXTREMAL PROBLEMS. THE ABNORMAL POINTS ArticleArutyunov A.V.Transactions of the American Mathematical Society. Том 350. 1998. С. 4341-4365