IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY Статья Arutyunov A.V. Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 195-205
NECESSARY OPTIMALITY CONDITIONS IN AN ABNORMAL OPTIMIZATION PROBLEM WITH EQUALITY CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Yu. Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 1293-1298
NECESSARY CONDITIONS FOR AN EXTREMUM IN 2-REGULAR PROBLEMS Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Doklady Mathematics. Том 73. 2006. С. 340-343
ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS Статья Arutyunov A.V. Russian Mathematical Surveys. Том 60. 2005. С. 157-158
ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Статья Arutyunov A.V. Doklady Akademii Nauk. Том 402. 2005. С. 295-297
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 EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A.V., Pereira F.L. Doklady Mathematics. Том 71. 2005. С. 442-445
COVERING OF NONLINEAR MAPS ON A CONE IN NEIGHBORHOODS OF IRREGULAR POINTS Статья Arutyunov A.V. Mathematical Notes. Том 77. 2005. С. 447-460
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
A NONDEGENERATE MAXIMUM PRINCIPLE FOR THE IMPULSE CONTROL PROBLEM WITH STATE CONSTRAINTS Статья Arutyunov A., Karamzin D., Pereira F. SIAM Journal on Control and Optimization. Том 43. 2005. С. 1812-1843
SECOND-ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL Статья Arutyunov A., Pereira F. IFAC Proceedings Volumes (IFAC-PapersOnline). IFAC Secretariat. Том 16. 2005. С. 483-488
NONDEGENERATE NECESSARY CONDITIONS OF OPTIMALITY FOR PROBLEMS WITHOUT NORMALITY ASSUMPTIONS Статья Arutyunov A., Pereira F.L. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Том 2005. 2005. С. 7302-7307
SENSITIVITY ANALYSIS FOR CONE-CONSTRAINED OPTIMIZATION PROBLEMS UNDER THE RELAXED CONSTRAINT QUALIFICATIONS Статья Arutyunov A.V., Izmailov A.F. Mathematics of Operations Research. Том 30. 2005. С. 333-353
IMPLICIT-FUNCTION THEOREM ON THE CONE IN A NEIGHBORHOOD OF AN IRREGULAR POINT Статья Arutyunov A.V. Mathematical Notes. Том 78. 2005. С. 573-576
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
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
SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS Статья Arutyunov A.V. Doklady Mathematics. Том 70. 2004. С. 904-907
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
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE Статья Avakov E.R., Arutyunov A.V. Doklady Mathematics. Том 70. 2004. С. 924-927
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
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY Статья Arutyunov A.V., Izmailov A.F. Mathematical Programming. Том 100. 2004. С. 485-515
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
TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS Статья Arutyunov A.V., Pavlova N.G. Differential Equations. Том 40. 2004. С. 1645-1648
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
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
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
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
CHECKING THE DEFINITENESS OF FORMS Статья Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 42. 2002. С. 767-780
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
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
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
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS Статья Arutyunov A.V., Jacimovic V. Differential Equations. Том 38. 2002. С. 1081-1094
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
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
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
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
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V. Differential Equations. Том 37. 2001. С. 1627-1630
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS Статья Arutyunov A.V. Doklady Mathematics. Том 63. 2001. С. 182-184
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
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
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
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
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