LAGRANGE PRINCIPLE IN QUADRATIC OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZON Статья Arutyunov A.V. Differential Equations. Том 45. 2009. С. 1595-1601
LOCALLY COVERING MAPS IN METRIC SPACES AND COINCIDENCE POINTS Статья Arutyunov A., Avakov E., Gel'Man B., Dmitruk A., Obukhovskii V. Journal of Fixed Point Theory and Applications. Том 5. 2009. С. 105-127
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES Статья Arutyunov A.V. Doklady Mathematics. Том 80. 2009. С. 555-557
MINIMUM OF A FUNCTIONAL IN A METRIC SPACE AND FIXED POINTS Статья Arutyunov A.V., Gel'man B.D. Computational Mathematics and Mathematical Physics. Том 49. 2009. С. 1111-1118
NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS Статья Arutyunov A.V., Izmailov A.F., Jaćimović V. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Том 359. 2009. С. 752-764
NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITH EQUALITY AND INEQUALITY CONSTRAINTS: ABNORMAL CASE Статья Arutyunov A.V., Karamzin D.Y., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Том 140. 2009. С. 391-408
COVERING MAPPINGS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS UNSOLVED FOR THE DERIVATIVE Статья Avakov E.R., Arutyunov A.V., Zhukovskii E.S. Differential Equations. Том 45. 2009. С. 627-649
STABILITY OF COINCIDENCE POINTS AND PROPERTIES OF COVERING MAPPINGS Статья Arutyunov A.V. Mathematical Notes. Том 86. 2009. С. 153-158
NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS Статья Arutyunov A.V. Mathematical Notes. Том 84. 2008. С. 155-165
EXACT PENALTIES FOR OPTIMIZATION PROBLEMS WITH 2-REGULAR EQUALITY CONSTRAINTS Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 48. 2008. С. 346-353
NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS Статья Arutyunov A.V., Avakov E.R., Izmailov A.F. Mathematical Programming. Том 114. 2008. С. 37-68
NECESSARY CONDITIONS FOR AN EXTREMUM IN A MATHEMATICAL PROGRAMMING PROBLEM Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Proceedings of the Steklov Institute of Mathematics. Том 256. 2007. С. 2-25
NECESSARY OPTIMALITY CONDITIONS FOR ABNORMAL PROBLEMS WITH GEOMETRIC CONSTRAINTS Статья Arutyunov A.V., Karamzin D.Yu. Computational Mathematics and Mathematical Physics. Том 47. 2007. С. 349-360
DIRECTIONAL REGULARITY AND METRIC REGULARITY Статья Arutyunov A.V., Avakov E.R., Izmailov A.F. SIAM Journal on Optimization. Том 18. 2007. С. 810-833
COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS Статья Arutyunov A.V. Doklady Mathematics. Том 76. 2007. С. 665-668
ON THE CONSISTENCY OF LINEAR AND QUADRATIC SYSTEMS Статья Arutyunov A.V., Kruglova E.V. Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 537-540
DIRECTIONAL METRIC REGULARITY OF MAPPINGS AND STABILITY THEOREMS Статья Avakov E.R., Arutyunov A.V., Izmailov A.F. Doklady Mathematics. Том 74. 2006. С. 473-476
CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS Статья Arutyunov A.V. Differential Equations. Том 42. 2006. С. 1515-1523
SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A., Pereira F.L. Mathematics of Operations Research. Том 31. 2006. С. 1-12
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
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 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
DIRECTIONAL STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY Статья Arutyunov A.V., Izmailov A.F. Mathematics of Operations Research. Том 31. 2006. С. 526-543
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
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
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
NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A.V., Pereira F.L. Doklady Mathematics. Том 71. 2005. С. 442-445
ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS Статья Arutyunov A.V. Russian Mathematical Surveys. Том 60. 2005. С. 157-158
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
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
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Статья Arutyunov A.V. Doklady Mathematics. Том 71. 2005. С. 370-372
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 OPTIMALITY CONDITIONS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Статья Arutyunov A.V., Pereira F.L. Doklady Akademii Nauk. Том 402. 2005. С. 727-731
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
ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Статья Arutyunov A.V. Doklady Akademii Nauk. Том 402. 2005. С. 295-297
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE Статья Avakov E.R., Arutyunov A.V. Doklady Mathematics. Том 70. 2004. С. 924-927
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
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
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
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY Статья Arutyunov A.V., Izmailov A.F. Mathematical Programming. Том 100. 2004. С. 485-515
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
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
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
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
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
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