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
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
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
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
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 PROBLEMS WITH A NONCLOSED IMAGE Article Avakov E.R., Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 924-927
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
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
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
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
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
CHECKING THE DEFINITENESS OF FORMS Article Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Vol. 42. 2002. P. 767-780
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
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
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
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
SPECIFIC SELECTIONS FOR SET-VALUED MAPPINGS Article Arutyunov A.V. Doklady Mathematics. Vol. 63. 2001. P. 182-184
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
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
THE IMPLICIT FUNCTION THEOREM AND ABNORMAL POINTS Article Arutyunov A.V. Doklady Mathematics. Vol. 60. 1999. P. 231-234
REGULAR ZEROS OF A QUADRATIC MAPPING AND LOCAL CONTROLLABILITY OF NONLINEAR SYSTEMS Article Arutyunov A.V., Rozova V.N. Differential Equations. Vol. 35. 1999. P. 723-728
NECESSARY OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH INTERMEDIATE CONSTRAINTS Article Arutyunov A.V., Okoulevitch A.I. Journal of Dynamical and Control Systems. Vol. 4. 1998. P. 49-58
SECOND-ORDER CONDITIONS IN EXTREMAL PROBLEMS. THE ABNORMAL POINTS Article Arutyunov A.V. Transactions of the American Mathematical Society. Vol. 350. 1998. P. 4341-4365
INVESTIGATION OF THE DEGENERACY PHENOMENON OF THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Article Arutyunov A.V., Aseev S.M. SIAM Journal on Control and Optimization. Vol. 35. 1997. P. 930-952
DEGENERACY PHENOMENON IN OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS Article Arutyunov A.V., Aseev S.M. Proceedings of the IEEE Conference on Decision and Control. Vol. 1. 1997. P. 300-304
ABNORMAL EXTREMAL PROBLEMS AND OPTIMALITY CONDITIONS Article Arutyunov A.V. Nonlinear Analysis, Theory, Methods and Applications. Elsevier Ltd. Vol. 30. 1997. P. 2461-2467
OPTIMALITY CONDITIONS IN ABNORMAL EXTREMAL PROBLEMS Article Arutyunov A.V. Systems and Control Letters. Elsevier. Vol. 27. 1996. P. 279-284
ON THE THEORY OF ABNORMAL EXTREMAL PROBLEMS WITH A FINITE-DIMENSIONAL IMAGE Article Arutyunov A.V. Doklady Mathematics. Vol. 53. 1996. P. 362-365
STATE CONSTRAINTS IN OPTIMAL CONTROL. THE DEGENERACY PHENOMENON Article Arutyunov A.V., Aseev S.M. Systems and Control Letters. Elsevier. Vol. 26. 1995. P. 267-273
MAXIMUM PRINCIPLE AND SECOND-ORDER CONDITIONS FOR MINIMAX PROBLEMS OF OPTIMAL CONTROL Article Arutyunov A.V., Silin D.B., Zerkalov L.G. Journal of Optimization Theory and Applications. Kluwer Academic Publishers-Plenum Publishers. Vol. 75. 1992. P. 521-533
PROPERTIES OF QUADRATIC MAPS IN A BANACH SPACE Article Arutyunov A.V. Mathematical Notes. Vol. 50. 1991. P. 993-999
NECESSARY CONDITIONS FOR AN EXTREMUM IN AN ABNORMAL PROBLEM WITH EQUALITY CONSTRAINTS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 45. 1990. P. 223-224