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
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
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
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
ON REAL QUADRATIC FORMS ANNIHILATING AN INTERSECTION OF QUADRICS Article Arutyunov A.V. Russian Mathematical Surveys. Vol. 60. 2005. P. 157-158
SECOND-ORDER SUFFICIENT CONDITIONS FOR INFINITE-DIMENSIONAL OPTIMIZATION PROBLEMS Article Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 904-907
ABNORMAL PROBLEMS WITH A NONCLOSED IMAGE Article Avakov E.R., Arutyunov A.V. Doklady Mathematics. Vol. 70. 2004. P. 924-927
ABNORMAL EQUALITY-CONSTRAINED OPTIMIZATION PROBLEMS: SENSITIVITY THEORY Article Arutyunov A.V., Izmailov A.F. Mathematical Programming. Vol. 100. 2004. P. 485-515
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
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
TOPOLOGICAL PROPERTIES OF ATTAINABILITY SETS OF LINEAR SYSTEMS Article Arutyunov A.V., Pavlova N.G. Differential Equations. Vol. 40. 2004. P. 1645-1648
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
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
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
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
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
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
ON NECESSARY SECOND-ORDER CONDITIONS IN OPTIMAL CONTROL PROBLEMS Article Arutyunov A.V., Vereshchagina Yu.S. Differential Equations. Vol. 38. 2002. P. 1531-1540
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
CHECKING THE DEFINITENESS OF FORMS Article Arutyunov A.V., Izmailov A.F. Computational Mathematics and Mathematical Physics. Vol. 42. 2002. P. 767-780
2-NORMAL PROCESSES IN CONTROLLED DYNAMICAL SYSTEMS Article Arutyunov A.V., Jacimovic V. Differential Equations. Vol. 38. 2002. P. 1081-1094