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
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE Статья Avakov E.R., Arutyunov A.V. Doklady Mathematics. Том 70. 2004. С. 924-927
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 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
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
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
TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS Статья Arutyunov A.V., Pavlova N.G. Differential Equations. Том 40. 2004. С. 1645-1648
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
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
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
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
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 QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS Статья Arutyunov A.V. Mathematical Notes. Том 71. 2002. С. 25-33
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
ON NECESSARY SECOND-ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V., Vereshchagina Yu.S. Differential Equations. Том 38. 2002. С. 1531-1540
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
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
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS Статья Arutyunov A.V., Jacimovic V. Differential Equations. Том 38. 2002. С. 1081-1094
CHECKING THE DEFINITENESS OF FORMS Статья Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 42. 2002. С. 767-780
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
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