NECESSARY OPTIMALITY CONDITIONS IN AN ABNORMAL OPTIMIZATION PROBLEM WITH EQUALITY CONSTRAINTS Article Arutyunov A.V., Karamzin D.Yu. Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 1293-1298
DIRECTIONAL METRIC REGULARITY OF MAPPINGS AND STABILITY THEOREMS Article Avakov E.R., Arutyunov A.V., Izmailov A.F. Doklady Mathematics. Vol. 74. 2006. P. 473-476
DIRECTIONAL STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY Article Arutyunov A.V., Izmailov A.F. Mathematics of Operations Research. Vol. 31. 2006. P. 526-543
IMPLICIT FUNCTION THEOREM WITHOUT A PRIORI ASSUMPTIONS ABOUT NORMALITY Article Arutyunov A.V. Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 195-205
SECOND-ORDER NECESSARY OPTIMALITY CONDITIONS FOR PROBLEMS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A., Pereira F.L. Mathematics of Operations Research. Vol. 31. 2006. P. 1-12
CONTROLLABILITY OF NONLINEAR SYSTEMS WITH CONSTRAINED CONTROLS Article Arutyunov A.V. Differential Equations. Vol. 42. 2006. P. 1515-1523
NECESSARY CONDITIONS FOR AN EXTREMUM IN 2-REGULAR PROBLEMS Article Avakov E.R., Arutyunov A.V., Izmailov A.F. Doklady Mathematics. Vol. 73. 2006. P. 340-343
ON THE CONSISTENCY OF LINEAR AND QUADRATIC SYSTEMS Article Arutyunov A.V., Kruglova E.V. Computational Mathematics and Mathematical Physics. Vol. 46. 2006. P. 537-540
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
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
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
ON CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Article Arutyunov A.V. Doklady Akademii Nauk. Vol. 402. 2005. P. 295-297
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
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
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
NECESSARY EXTREMUM CONDITIONS WITHOUT MAKING A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A.V., Pereira F.L. Doklady Mathematics. Vol. 71. 2005. P. 442-445
COVERING OF NONLINEAR MAPS ON A CONE IN NEIGHBORHOODS OF IRREGULAR POINTS Article Arutyunov A.V. Mathematical Notes. Vol. 77. 2005. P. 447-460
ON THE CONSISTENCY OF QUADRATIC AND BILINEAR SYSTEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 71. 2005. P. 370-372
NECESSARY OPTIMALITY CONDITIONS WITHOUT A PRIORI NORMALITY ASSUMPTIONS Article Arutyunov A.V., Pereira F.L. Doklady Akademii Nauk. Vol. 402. 2005. P. 727-731
SENSITIVITY ANALYSIS OF ABNORMAL CONE-CONSTRAINED OPTIMIZATION PROBLEMS Article Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Vol. 44. 2004. P. 552-574
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY Article Arutyunov A.V., Izmailov A.F. Mathematical Programming. Vol. 100. 2004. P. 485-515
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE Article Avakov E.R., Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 924-927
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
SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 904-907
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
ON CONVERGENCE RATE ESTIMATES FOR POWER PENALTY METHODS Article Avakov E.R., Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Vol. 44. 2004. P. 1684-1695
TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS Article Arutyunov A.V., Pavlova N.G. Differential Equations. Vol. 40. 2004. P. 1645-1648
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
FIRST AND SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR IMPULSIVE CONTROL PROBLEMS Article Arutyunov A., Dykhta V., Pereira F. Proceedings of the IEEE Conference on Decision and Control. Vol. 6. 2003. P. 6357-6362
SECOND ORDER NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS Article Arutyunov A., Jaćimović V., Pereira F. Journal of Dynamical and Control Systems. Vol. 9. 2003. P. 131-153
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
INVERSE FUNCTION THEOREM ON A CONE IN THE NEIGHBORHOOD OF AN ABNORMAL POINT Article Arutyunov A.V. Doklady Mathematics. Vol. 67. 2003. P. 149-152
NONDEGENERATE NECESSARY CONDITIONS FOR OPTIMAL IMPULSIVE CONTROL PROBLEMS WITH STATE CONSTRAINTS Article Arutyunov A., Karamzin D., Pereira F. Proceedings of the IEEE Conference on Decision and Control. Vol. 1. 2003. P. 233-238
POSITIVE DEFINITENESS OF FORMS: NUMERICAL IDENTIFICATION Article Arutyunov A.V., Izmailov A.F. SIAM Journal on Control and Optimization. Vol. 41. 2003. P. 1567-1585
SENSITIVITY THEORY FOR ABNORMAL OPTIMIZATION PROBLEMS WITH EQUALITY CONSTRAINTS Article Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Vol. 43. 2003. P. 178-193
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 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
POSITIVE QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS Article Arutyunov A.V. Mathematical Notes. Vol. 71. 2002. P. 25-33
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS Article Arutyunov A.V., Jacimovic V. Differential Equations. Vol. 38. 2002. P. 1081-1094
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
CHECKING THE DEFINITENESS OF FORMS Article Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Vol. 42. 2002. P. 767-780
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 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
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS Article Arutyunov A.V. Doklady Mathematics. Vol. 63. 2001. P. 182-184
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
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
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 61. 2000. P. 158-161
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