CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS ArticleArutyunov A.V.Differential Equations. Vol. 42. 2006. P.. 1515-1523
DIRECTIONAL STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY ArticleArutyunov A.V., Izmailov A.F.Mathematics of Operations Research. Vol. 31. 2006. P.. 526-543
NECESSARY OPTIMALITY CONDITIONS IN AN ABNORMAL OPTIMIZATION PROBLEM WITH EQUALITY CONSTRAINTS ArticleArutyunov A.V., Karamzin D.Yu.Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P.. 1293-1298
DIRECTIONAL METRIC REGULARITY OF MAPPINGS AND STABILITY THEOREMS ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Doklady Mathematics. Vol. 74. 2006. P.. 473-476
NECESSARY CONDITIONS FOR AN EXTREMUM IN 2-REGULAR PROBLEMS ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Doklady Mathematics. Vol. 73. 2006. P.. 340-343
ON THE CONSISTENCY OF LINEAR AND QUADRATIC SYSTEMS ArticleArutyunov A.V., Kruglova E.V.Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P.. 537-540
IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY ArticleArutyunov A.V.Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P.. 195-205
SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS ArticleArutyunov A., Pereira F.L.Mathematics of Operations Research. Vol. 31. 2006. P.. 1-12
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. Vol. 2005. 2005. P.. 7302-7307
SECOND-ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL ArticleArutyunov A., Pereira F.IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16. 2005. P.. 483-488
NECESSARY OPTIMALITY CONDITIONS WITHOUT A PRIORI NORMALITY ASSUMPTIONS ArticleArutyunov A.V., Pereira F.L.Doklady Akademii Nauk. Vol. 402. 2005. P.. 727-731
A NONDEGENERATE MAXIMUM PRINCIPLE FOR THE IMPULSE CONTROL PROBLEM WITH STATE CONSTRAINTS ArticleArutyunov A., Karamzin D., Pereira F.SIAM Journal on Control and Optimization. Vol. 43. 2005. P.. 1812-1843
ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS ArticleArutyunov A.V.Doklady Akademii Nauk. Vol. 402. 2005. P.. 295-297
IMPLICIT-FUNCTION THEOREM ON THE CONE IN A NEIGHBORHOOD OF AN IRREGULAR POINT ArticleArutyunov A.V.Mathematical Notes. Vol. 78. 2005. P.. 573-576
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS ArticleArutyunov A.V.Doklady Mathematics. Vol. 71. 2005. P.. 370-372
SENSITIVITY ANALYSIS FOR CONE-CONSTRAINED OPTIMIZATION PROBLEMS UNDER THE RELAXED CONSTRAINT QUALIFICATIONS ArticleArutyunov A.V., Izmailov A.F.Mathematics of Operations Research. Vol. 30. 2005. P.. 333-353
NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS ArticleArutyunov A.V., Pereira F.L.Doklady Mathematics. Vol. 71. 2005. P.. 442-445
COVERING OF NONLINEAR MAPS ON A CONE IN NEIGHBORHOODS OF IRREGULAR POINTS ArticleArutyunov A.V.Mathematical Notes. Vol. 77. 2005. P.. 447-460
ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS ArticleArutyunov A.V.Russian Mathematical Surveys. Vol. 60. 2005. P.. 157-158
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. Vol. 124. 2005. P.. 55-77
SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS ArticleArutyunov A.V.Doklady Mathematics. Vol. 70. 2004. P.. 904-907
TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS ArticleArutyunov A.V., Pavlova N.G.Differential Equations. Vol. 40. 2004. P.. 1645-1648
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE ArticleAvakov E.R., Arutyunov A.V.Doklady Mathematics. Vol. 70. 2004. P.. 924-927
ON CONVERGENCE RATE ESTIMATES FOR POWER PENALTY METHODS ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Vol. 44. 2004. P.. 1684-1695
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY ArticleArutyunov A.V., Izmailov A.F.Mathematical Programming. Vol. 100. 2004. P.. 485-515
SENSITIVITY ANALYSIS OF ABNORMAL CONE-CONSTRAINED OPTIMIZATION PROBLEMS ArticleArutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Vol. 44. 2004. P.. 552-574
TANGENT VECTORS TO A ZERO SET AT ABNORMAL POINTS ArticleArutyunov A.V., Izmailov A.F.Journal of Mathematical Analysis and Applications. Vol. 289. 2004. P.. 66-76
NECESSARY OPTIMALITY CONDITIONS FOR IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A., Dykhta V., Karamzin D., Pereira F.IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 37. 2004. P.. 2-12
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. Vol. 6. 2003. P.. 6357-6362
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. Vol. 1. 2003. P.. 233-238
POSITIVE DEFINITENESS OF FORMS: NUMERICAL IDENTIFICATION ArticleArutyunov A.V., Izmailov A.F.SIAM Journal on Control and Optimization. Vol. 41. 2003. P.. 1567-1585
THE PONTRYAGIN MAXIMUM PRINCIPLE AND SUFFICIENT CONDITIONS FOR OPTIMALITY IN THE L0 METRIC ArticleArutyunov A.V.Doklady Mathematics. Vol. 67. 2003. P.. 208-212
INVERSE FUNCTION THEOREM ON A CONE IN THE NEIGHBORHOOD OF AN ABNORMAL POINT ArticleArutyunov A.V.Doklady Mathematics. Vol. 67. 2003. P.. 149-152
SENSITIVITY THEORY FOR ABNORMAL OPTIMIZATION PROBLEMS WITH EQUALITY CONSTRAINTS ArticleArutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Vol. 43. 2003. P.. 178-193
SECOND ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A., Jaćimović V., Pereira F.Journal of Dynamical and Control Systems. Vol. 9. 2003. P.. 131-153
POSITIVE QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS ArticleArutyunov A.V.Mathematical Notes. Vol. 71. 2002. P.. 25-33
ON NECESSARY SECOND-ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS ArticleArutyunov A.V., Vereshchagina Yu.S.Differential Equations. Vol. 38. 2002. P.. 1531-1540
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS ArticleArutyunov A.V., Jacimovic V.Differential Equations. Vol. 38. 2002. P.. 1081-1094
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. Vol. 2. 2002. P.. 1576-1581
CHECKING THE DEFINITENESS OF FORMS ArticleArutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Vol. 42. 2002. P.. 767-780
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. Vol. 63. 2002. P.. 792-802
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS ArticleArutyunov A.V.Differential Equations. Vol. 37. 2001. P.. 1627-1630
CONDITIONS FOR A HIGH-ORDER EXTREMUM AND TANGENT VECTORS AT AN ABNORMAL POINT ArticleArutyunov A.V.Doklady Mathematics. Vol. 64. 2001. P.. 381-384
BIFURCATION THEOREMS VIA SECOND-ORDER OPTIMALITY CONDITIONS ArticleArutyunov A.V., Izmailov A.F.Journal of Mathematical Analysis and Applications. Vol. 262. 2001. P.. 564-576
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS ArticleArutyunov A.V.Doklady Mathematics. Vol. 63. 2001. P.. 182-184
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS ArticleArutyunov A., Jaćimović V., Pereira F.2001 European Control Conference, ECC 2001. 2001. P.. 2759-2763
CALCULATION OF THE CONE TANGENT TO THE IMAGE OF A MAPPING AT A SINGULAR POINT ArticleArutyunov A.V.Doklady Mathematics. Vol. 62. 2000. P.. 351-352
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS ArticleArutyunov A.V.Doklady Mathematics. Vol. 61. 2000. P.. 158-161
IMPLICIT FUNCTION THEOREM AS A REALIZATION OF THE LAGRANGE PRINCIPLE. ABNORMAL POINTS ArticleArutyunov A.V.Sbornik Mathematics. Vol. 191. 2000. P.. 1-24
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS ArticleArutyunov A.V.Doklady Mathematics. Vol. 60. 1999. P.. 231-234