THE PONTRYAGIN MAXIMUM PRINCIPLE AND SUFFICIENT CONDITIONS FOR OPTIMALITY IN THE L0 METRIC Статья Arutyunov A.V. Doklady Mathematics. Том 67. 2003. С. 208-212
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS Статья Arutyunov A.V., Jacimovic V. Differential Equations. Том 38. 2002. С. 1081-1094
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL SYSTEMS Статья Arutyunov A., Jacimović V., Pereira F. Proceedings of the IEEE Conference on Decision and Control. Том 2. 2002. С. 1576-1581
OPTIMAL RESOURCES ALLOCATION OVER THE SET OF INDEPENDENT OPERATIONS Статья Arutyunov A.V., Burkov V.N., Zalozhnev A.Yu., Karamzing D.Yu. Avtomatika i Telemekhanika. 2002. С. 108-119
POSITIVE QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS Статья Arutyunov A.V. Mathematical Notes. Том 71. 2002. С. 25-33
ON NECESSARY SECOND-ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V., Vereshchagina Yu.S. Differential Equations. Том 38. 2002. С. 1531-1540
CHECKING THE DEFINITENESS OF FORMS Статья Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 42. 2002. С. 767-780
A PROBLEM OF OPTIMAL DISTRIBUTION OF RESOURCES OVER A SET OF INDEPENDENT OPERATIONS Статья Arutyunov A.V., Burkov V.N., Zalozhnev A.Yu., Karamzin D.Yu. Automation and Remote Control. Maik Nauka Publishing / Springer SBM. Том 63. 2002. С. 792-802
SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A., Jaćimović V., Pereira F. 2001 European Control Conference, ECC 2001. Institute of Electrical and Electronics Engineers Inc.. 2001. С. 2759-2763
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V. Differential Equations. Том 37. 2001. С. 1627-1630
BIFURCATION THEOREMS VIA SECOND-ORDER OPTIMALITY CONDITIONS Статья Arutyunov A.V., Izmailov A.F. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Том 262. 2001. С. 564-576
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS Статья Arutyunov A.V. Doklady Mathematics. Том 63. 2001. С. 182-184
CONDITIONS FOR A HIGH-ORDER EXTREMUM AND TANGENT VECTORS AT AN ABNORMAL POINT Статья Arutyunov A.V. Doklady Mathematics. Том 64. 2001. С. 381-384
IMPLICIT FUNCTION THEOREM AS A REALIZATION OF THE LAGRANGE PRINCIPLE. ABNORMAL POINTS Статья Arutyunov A.V. Sbornik Mathematics. Russian Academy of Sciences. Том 191. 2000. С. 1-24
CALCULATION OF THE CONE TANGENT TO THE IMAGE OF A MAPPING AT A SINGULAR POINT Статья Arutyunov A.V. Doklady Mathematics. Том 62. 2000. С. 351-352
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V. Doklady Mathematics. Том 61. 2000. С. 158-161
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS Статья Arutyunov A.V. Doklady Mathematics. Том 60. 1999. С. 231-234
REGULAR ZEROS OF A QUADRATIC MAPPING AND LOCAL CONTROLLABILITY OF NONLINEAR SYSTEMS Статья Arutyunov A.V., Rozova V.N. Differential Equations. Том 35. 1999. С. 723-728
SECOND-ORDER CONDITIONS IN EXTREMAL PROBLEMS. THE ABNORMAL POINTS Статья Arutyunov A.V. Transactions of the American Mathematical Society. Том 350. 1998. С. 4341-4365
NECESSARY OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH INTERMEDIATE CONSTRAINTS Статья Arutyunov A.V., Okoulevitch A.I. Journal of Dynamical and Control Systems. Том 4. 1998. С. 49-58
ABNORMAL EXTREMAL PROBLEMS AND OPTIMALITY CONDITIONS Статья Arutyunov A.V. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Том 30. 1997. С. 2461-2467
DEGENERACY PHENOMENON IN OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Статья Arutyunov A.V., Aseev S.M. Proceedings of the IEEE Conference on Decision and Control. Том 1. 1997. С. 300-304
INVESTIGATION OF THE DEGENERACY PHENOMENON OF THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Статья Arutyunov A.V., Aseev S.M. SIAM Journal on Control and Optimization. Том 35. 1997. С. 930-952
ON THE THEORY OF ABNORMAL EXTREMAL PROBLEMS WITH A FINITE-DIMENSIONAL IMAGE Статья Arutyunov A.V. Doklady Mathematics. Том 53. 1996. С. 362-365
OPTIMALITY CONDITIONS IN ABNORMAL EXTREMAL PROBLEMS Статья Arutyunov A.V. Systems and Control Letters. Elsevier. Том 27. 1996. С. 279-284
STATE CONSTRAINTS IN OPTIMAL CONTROL. THE DEGENERACY PHENOMENON Статья Arutyunov A.V., Aseev S.M. Systems and Control Letters. Elsevier. Том 26. 1995. С. 267-273
MAXIMUM PRINCIPLE AND SECOND-ORDER CONDITIONS FOR MINIMAX PROBLEMS OF OPTIMAL CONTROL Статья Arutyunov A.V., Silin D.B., Zerkalov L.G. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 75. 1992. С. 521-533
PROPERTIES OF QUADRATIC MAPS IN A BANACH SPACE Статья Arutyunov A.V. Mathematical Notes. Том 50. 1991. С. 993-999
NECESSARY CONDITIONS FOR AN EXTREMUM IN AN ABNORMAL PROBLEM WITH EQUALITY CONSTRAINTS Статья Arutyunov A.V. Russian Mathematical Surveys. Том 45. 1990. С. 223-224