SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 904-907
TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS Article Arutyunov A.V., Pavlova N.G. Differential Equations. Vol. 40. 2004. P. 1645-1648
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
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY Article Arutyunov A.V., Izmailov A.F. Mathematical Programming. Vol. 100. 2004. P. 485-515
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
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
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
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
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
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
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS Article Arutyunov A.V., Jacimovic V. Differential Equations. Vol. 38. 2002. P. 1081-1094
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
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
ON NECESSARY SECOND-ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS Article Arutyunov A.V., Vereshchagina Yu.S. Differential Equations. Vol. 38. 2002. P. 1531-1540
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
POSITIVE QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS Article Arutyunov A.V. Mathematical Notes. Vol. 71. 2002. P. 25-33
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS Article Arutyunov A.V. Doklady Mathematics. Vol. 63. 2001. P. 182-184
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS Article Arutyunov A.V. Differential Equations. Vol. 37. 2001. P. 1627-1630
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 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
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
CALCULATION OF THE CONE TANGENT TO THE IMAGE OF A MAPPING AT A SINGULAR POINT Article Arutyunov A.V. Doklady Mathematics. Vol. 62. 2000. P. 351-352
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