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