ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS Статья Arutyunov A.V. Russian Mathematical Surveys. Том 60. 2005. С. 157-158
NECESSARY OPTIMALITY CONDITIONS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A.V., Pereira F.L. Doklady Akademii Nauk. Том 402. 2005. С. 727-731
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Статья Arutyunov A.V. Doklady Mathematics. Том 71. 2005. С. 370-372
NECESSARY CONDITIONS FOR IMPULSIVE NONLINEAR OPTIMAL CONTROL PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A., Dykhta V., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 124. 2005. С. 55-77
NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A.V., Pereira F.L. Doklady Mathematics. Том 71. 2005. С. 442-445
NECESSARY OPTIMALITY CONDITIONS FOR IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A., Dykhta V., Karamzin D., Pereira F. IFAC Proceedings Volumes (IFAC-PapersOnline). IFAC Secretariat. Том 37. 2004. С. 2-12
ON CONVERGENCE RATE ESTIMATES FOR POWER PENALTY METHODS Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 44. 2004. С. 1684-1695
TANGENT VECTORS TO A ZERO SET AT ABNORMAL POINTS Статья Arutyunov A.V., Izmailov A.F. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Том 289. 2004. С. 66-76
SENSITIVITY ANALYSIS OF ABNORMAL CONE-CONSTRAINED OPTIMIZATION PROBLEMS Статья Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 44. 2004. С. 552-574
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE Статья Avakov E.R., Arutyunov A.V. Doklady Mathematics. Том 70. 2004. С. 924-927
SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS Статья Arutyunov A.V. Doklady Mathematics. Том 70. 2004. С. 904-907
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY Статья Arutyunov A.V., Izmailov A.F. Mathematical Programming. Том 100. 2004. С. 485-515
TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS Статья Arutyunov A.V., Pavlova N.G. Differential Equations. Том 40. 2004. С. 1645-1648
A SIMPLE 'FINITE APPROXIMATIONS' PROOF OF THE PONTRYAGIN MAXIMUM PRINCIPLE UNDER REDUCED DIFFERENTIABILITY HYPOTHESES Статья Arutyunov A.V., Vinter R.B. Set-Valued Analysis. Том 12. 2004. С. 5-24
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
FIRST AND SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A., Dykhta V., Pereira F. Proceedings of the IEEE Conference on Decision and Control. Том 6. 2003. С. 6357-6362
SENSITIVITY THEORY FOR ABNORMAL OPTIMIZATION PROBLEMS WITH EQUALITY CONSTRAINTS Статья Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 43. 2003. С. 178-193
POSITIVE DEFINITENESS OF FORMS: NUMERICAL IDENTIFICATION Статья Arutyunov A.V., Izmailov A.F. SIAM Journal on Control and Optimization. Том 41. 2003. С. 1567-1585
INVERSE FUNCTION THEOREM ON A CONE IN THE NEIGHBORHOOD OF AN ABNORMAL POINT Статья Arutyunov A.V. Doklady Mathematics. Том 67. 2003. С. 149-152
NONDEGENERATE NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS WITH STATE CONSTRAINTS Статья Arutyunov A., Karamzin D., Pereira F. Proceedings of the IEEE Conference on Decision and Control. Том 1. 2003. С. 233-238
SECOND ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS Статья Arutyunov A., Jaćimović V., Pereira F. Journal of Dynamical and Control Systems. Том 9. 2003. С. 131-153
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS Статья Arutyunov A.V., Jacimovic V. Differential Equations. Том 38. 2002. С. 1081-1094
POSITIVE QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS Статья Arutyunov A.V. Mathematical Notes. Том 71. 2002. С. 25-33
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
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
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V. Differential Equations. Том 37. 2001. С. 1627-1630
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
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS Статья Arutyunov A.V. Doklady Mathematics. Том 63. 2001. С. 182-184
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
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
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V. Doklady Mathematics. Том 61. 2000. С. 158-161
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
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
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS Статья Arutyunov A.V. Doklady Mathematics. Том 60. 1999. С. 231-234
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
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
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
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