IMPLICIT-FUNCTION THEOREM ON THE CONE IN A NEIGHBORHOOD OF AN IRREGULAR POINT Article Arutyunov A.V. Mathematical Notes. Vol. 78. 2005. P. 573-576
A NONDEGENERATE MAXIMUM PRINCIPLE FOR THE IMPULSE CONTROL PROBLEM WITH STATE CONSTRAINTS Article Arutyunov A., Karamzin D., Pereira F. SIAM Journal on Control and Optimization. Vol. 43. 2005. P. 1812-1843
SENSITIVITY ANALYSIS FOR CONE-CONSTRAINED OPTIMIZATION PROBLEMS UNDER THE RELAXED CONSTRAINT QUALIFICATIONS Article Arutyunov A.V., Izmailov A.F. Mathematics of Operations Research. Vol. 30. 2005. P. 333-353
NECESSARY CONDITIONS FOR IMPULSIVE NONLINEAR OPTIMAL CONTROL PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A., Dykhta V., Pereira F.L. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 124. 2005. P. 55-77
SECOND-ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL Article Arutyunov A., Pereira F. IFAC Proceedings Volumes (IFAC-PapersOnline). IFAC Secretariat. Vol. 16. 2005. P. 483-488
ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 60. 2005. P. 157-158
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 71. 2005. P. 370-372
ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Article Arutyunov A.V. Doklady Akademii Nauk. Vol. 402. 2005. P. 295-297
NONDEGENERATE NECESSARY CONDITIONS OF OPTIMALITY FOR PROBLEMS WITHOUT NORMALITY ASSUMPTIONS Article Arutyunov A., Pereira F.L. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005. 2005. P. 7302-7307
NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A.V., Pereira F.L. Doklady Mathematics. Vol. 71. 2005. P. 442-445
NECESSARY OPTIMALITY CONDITIONS FOR IMPULSIVE CONTROL PROBLEMS Article Arutyunov A., Dykhta V., Karamzin D., Pereira F. IFAC Proceedings Volumes (IFAC-PapersOnline). IFAC Secretariat. Vol. 37. 2004. P. 2-12
A SIMPLE 'FINITE APPROXIMATIONS' PROOF OF THE PONTRYAGIN MAXIMUM PRINCIPLE UNDER REDUCED DIFFERENTIABILITY HYPOTHESES Article Arutyunov A.V., Vinter R.B. Set-Valued Analysis. Vol. 12. 2004. P. 5-24
SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 904-907
TANGENT VECTORS TO A ZERO SET AT ABNORMAL POINTS Article Arutyunov A.V., Izmailov A.F. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Vol. 289. 2004. P. 66-76
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY Article Arutyunov A.V., Izmailov A.F. Mathematical Programming. Vol. 100. 2004. P. 485-515