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
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
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
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
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
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
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
POSITIVE QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS Статья Arutyunov A.V. Mathematical Notes. Том 71. 2002. С. 25-33
CHECKING THE DEFINITENESS OF FORMS Статья Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Том 42. 2002. С. 767-780
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS Статья Arutyunov A.V., Jacimovic V. Differential Equations. Том 38. 2002. С. 1081-1094
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
BIFURCATION THEOREMS VIA SECOND-ORDER OPTIMALITY CONDITIONS Статья Arutyunov A.V., Izmailov A.F. Journal of Mathematical Analysis and Applications. Academic Press Inc.. Том 262. 2001. С. 564-576
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
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS Статья Arutyunov A.V. Doklady Mathematics. Том 63. 2001. С. 182-184
MILYUTIN'S THEOREM IN LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V. Differential Equations. Том 37. 2001. С. 1627-1630
IMPLICIT FUNCTION THEOREM AS A REALIZATION OF THE LAGRANGE PRINCIPLE. ABNORMAL POINTS Статья Arutyunov A.V. Sbornik Mathematics. Russian Academy of Sciences. Том 191. 2000. С. 1-24
CALCULATION OF THE CONE TANGENT TO THE IMAGE OF A MAPPING AT A SINGULAR POINT Статья Arutyunov A.V. Doklady Mathematics. Том 62. 2000. С. 351-352
SECOND-ORDER NECESSARY CONDITIONS IN OPTIMAL CONTROL PROBLEMS Статья Arutyunov A.V. Doklady Mathematics. Том 61. 2000. С. 158-161
REGULAR ZEROS OF A QUADRATIC MAPPING AND LOCAL CONTROLLABILITY OF NONLINEAR SYSTEMS Статья Arutyunov A.V., Rozova V.N. Differential Equations. Том 35. 1999. С. 723-728
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS Статья Arutyunov A.V. Doklady Mathematics. Том 60. 1999. С. 231-234
SECOND-ORDER CONDITIONS IN EXTREMAL PROBLEMS. THE ABNORMAL POINTS Статья Arutyunov A.V. Transactions of the American Mathematical Society. Том 350. 1998. С. 4341-4365
NECESSARY OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH INTERMEDIATE CONSTRAINTS Статья Arutyunov A.V., Okoulevitch A.I. Journal of Dynamical and Control Systems. Том 4. 1998. С. 49-58