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