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