SIGNIFICANT SCIENTIFIC RESULTS OBTAINED BASED ON THE RESEARCH WORK CONDUCTED AT THE INSTITUTE 2016

1. The technology for forming correlation matrices equivalent to matrices of mathematical models of the dynamics of technical objects is proposed, and the possibility of their application for monitoring the beginning of the transition of deep stationary offshore platforms to an emergency state is demonstrated.
Implemented by: Acad. T.A. Aliev, Doctor of Engineering, Prof. N.F. Musayeva, Doctor of Engineering, Assoc.Prof. U.E. Sattarova, PhD in Engineering, T.A. Alizada, PhD in Engineering, N.E.Rzayeva

2. Universal mathematical models describing the functioning of pipelines (oil, gas, irrigation) have been constructed. The constructed models allow optimizing the operation of pipelines and assessing the reliability of their operation.
Implemented by: Acad. A.H. Hajiyev, Doctor of Mathematics

3. Methods for assessing the administrative efforts of government agencies for the tax burden in an economy characterized by stable growth rates and capital expenditures (investments) are proposed.
Implemented by: Corresp.Member of ANAS A.F. Musayev, Doctor of Economics

4. A numerical approach is proposed to identify the coefficient of hydraulic resistance of an oil pipeline as a function of the speed of oil.
Implemented by: Corresp.Member of ANASK.R. Ayda-zade, Doctor of Mathematics, Assoc.Prof. S.Z.Quliyev, PhD in Mathematics

5. Based on metric methods of recognition, the method of creating neural networks, which does not require the implementation of long and complex learning algorithms, is proposed.
Implemented by: Prof. O.Q. Nusratov, Doctor of Engineering, Assoc.Prof. P.Sh. Heydarov, PhD in Engineering

6. To determine the level of diversification of the Azerbaijan economy, a phase (fuzzy) model was proposed.
Implemented by: Prof. Q.J. Imanov, Doctor of Economics, M.M. Murtuzayeva, PhD in Economics, R.A.Yusifzade, PhD in Economics

7. For one model case in controlled processes, the optimal control problem for a hyperbolic equation with a dominant mixed second-order derivative with LP(x) -coefficients is solved, optimality conditions in the form of the Pontryagin maximum principle are found.
Implemented by: Assoc.Prof. I.Q.Mamedov, Doctor of Mathematics, Prof. A.B. Sadigov, Doctor of Engineering, (IMM ANAS - Corresp.Member of ANAS V.S. Quliyev, Doctor of Mathematics, Assoc.Prof. R.A.Bandaliyev, Doctor of Mathematics

8. A spatio-temporal mathematical model of the propagation of non-stationary external disturbances in geological media with memory containing fractal structures is developed.
Implemented by: Prof. A.B. Hasanov, Doctor of Engineering

9. Algorithms and technologies for calculating the noise density distribution function of noise of a noisy signal are developed for the case when classical conditions are fulfilled, which allows identifying a malfunction in technical systems at an early stage of their occurrence.
Implemented by: Prof. N.F. Musayeva, Doctor of Engineering, M.T. Suleymanova, B.I. Qazizade

10. The Electronic Archive System was developed and implemented, ensuring the digitization of all types of documents stored in the National Archive Fund of the Republic of Azerbaijan. The possibilities of saving electronic copies of these documents in the database together with their requisites, as well as the ability to search documents in both requisites and context are created.
Implemented by: Assoc.Prof. E.R. Aliyev, Doctor of Engineering, X.X. Abdullayev, PhD in Engineering, P.O. Asadova

11. A prognostic model for solving practical problems in land reclamation and water management systems was constructed (for pumping stations and collector-drainage networks.
Implemented by: Assoc.Prof. Y.I.Rustamov, PhD in Mathematics, Q.J. Efendiyev, PhD in Mathematics

12. A model has been created for forecasting stopovers for passengers using only information about stops and boarding times of passengers on buses using an electronic passenger card.
Implemented by: Prof. A.N. Nasibov, Doctor of Mathematics

13. Neuro-fuzzy methods and algorithms have been developed to provide information and analytical support for decision-making in various organizational structures.
Implemented by: Assoc.Prof. R.R. Rzayev, S.T. Babayeva, Doctor of Engineering, F.B. Agayev

14. It is established that in order to ensure proper adequacy of mathematical models designed to manage reservoir pressure, it is necessary to take into account the physicochemical parameters of oil filtration and the interference factor of wells exploiting this reservoir.
Implemented by: Ab.H.Rzayev, Doctor of Engineering

15. The Lagrange function for Boolean programming with interval data is constructed and an algorithm of steepest descent type is developed to minimize this function.
Implemented by: Prof. K.Sh. Mamedov, Doctor of Mathematics, A.H. Mamedov, S.Y.Huseynov, PhD in Mathematics

16. An integral equation with a retarded argument is derived for the distribution of the residence time of a complex process of a semi-Markovian walk.
Implemented by: Prof. T.H.Nasirova, Doctor of Mathematics, K.K. Omarova, PhD in Mathematics, U.Y. Kerimova, PhD in Mathematics

17. It is deduced that an increase in the price of oil leads to an even greater increase in the debts per unit of the gross domestic product produced.
Implemented by: Prof. Y.H. Hasanli, Doctor of Economics, S. Ismayilova

18. Necessary conditions for optimality of singular controls in continuous and discrete optimal control problems of Moskalenko type are obtained.
Implemented by: Prof. K.B. Mansimov, Doctor of Mathematics, E.A. Qarayeva, Ş.M. Rasulova

19. To ensure the adequacy of the identification of dynamometer cards of SRPU, an algorithm has been developed for calculating the normalized coefficients of the correlation functions.
Implemented by: Acad. Т.A. Aliev, Doctor of Engineering, Q.A. Quluyev, Doctor of Engineering, Assoc.Prof. As.H. Rzayev, PhD in Engineering, Y.Q. Aliyev, M.H. Rezvan

20. Software and technical requirements for the creation of seismoacoustic stations based on hydrophones, controllers and industrial type Internet devices have been developed.
Implemented by: Acad. T.A. Aliev, Doctor of Engineering, Q.A. Quluyev, Doctor of Engineering, F.H. Pashayev, PhD in Engineering

21. It is established that the scaling of the output data of sucker rod pumping units calculated theoretically makes it possible to improve the reliability of diagnostics of the state of the pump based on the dynamometer card.
Implemented by: Acad. Т.A. Aliev, Doctor of Engineering, Q.A. Quluyev, Doctor of Engineering, Assoc.Prof. As.H. Rzayev, PhD in Engineering, Y.Q. Aliyev, M.H. Rezvan

22. Requirements are determined for the main parameters of the microcontroller for the implementation of the developed algorithm for measuring and calculating instantaneous power.
Implemented by: Acad. Т.A. Aliev, Doctor of Engineering, Q.A. Quluyev, Doctor of Engineering, Assoc.Prof. As.H. Rzayev, PhD in Engineering, Y.Q. Aliyev, M.H. Rezvan

23. A numerical approach to the solution of discrete dynamical systems of a block structure with boundary conditions unshared between blocks has been proposed. Numerical experiments on model problems have been carried out.
Implemented by: Corresp.Member of ANAS K.R. Ayda-zade, Doctor of Mathematics, Assoc.Prof. Y.R.Ashrafova, PhD in Mathematics

24. An algorithm and software for primary processing and segmentation for the purpose of object recognition on aerial photographs have been developed.
Implemented by: Corresp.Member of ANAS K.R. Ayda-zade, Doctor of Mathematics, Assoc.Prof. S.Q. Talibov, PhD in Mathematics, S.Z. Hasanov

25. A numerical method for solving coefficient inverse problems with respect to systems of linear loaded differential equations with ordinary derivatives is proposed. The conditions for the redefinition are given by unshared integral and point values of the functions.
Implemented by: Corresp.Member of ANAS K.R.Ayda-zade, Doctor of Mathematics, Assoc.Prof. V.M. Abdullayev, Doctor of Mathematics

26. A modified hybrid algorithm for position-binary and dynamic time transformation has been developed, which makes it possible to increase the reliability of recognition of cyclic signals.
Implemented by: Prof. O.Q. Nusratov, Doctor of Engineering, Assoc.Prof. A.B. Kerimov, PhD in Mathematics

27. On the basis of system analysis, it is established that when developing a mathematical model of a formation, in addition to taking into account the hydrodynamic properties of the reservoir, it is also necessary to take into account its physicochemical properties.
Implemented by: Ab.H. Rzayev, Doctor of Engineering

28. The necessary optimality conditions in discretely continuous systems are obtained. Sufficient optimality conditions for the Krotov type in discrete and hybrid systems of Rosser type are established.
Implemented by: Prof. K.B. Mansimov, Doctor of Mathematics, A.I.Agamalıyeva, Assoc.Prof. R.O. Mastaliyev, PhD in Mathematics

29. The main parameters that negatively affect soil fertility are determined, and they are taken into account when developing a mathematical model and an algorithm for solving the problem of growing crops.
Implemented by: Assoc.Prof. A.B. Pashayev, PhD in Mathematics, Assoc.Prof. E.N. Sabziyev, PhD in Mathematics

30. The formulation and substantiation of the development of a multi-agent system for diagnosis, monitoring and prognosis of occupational diseases occurring in various sectors of the national economy of the Republic is given. The types of agents, their functions, strategies and the architecture of the system are determined.
Implemented by: Assoc.Prof. G.G. Abdullayeva, PhD in Mathematics

31. In various variations for three-dimensional and four-dimensional Bianchi equations with nonsmooth coefficients in a nonclassical treatment, various classes of combined local and nonlocal boundary value problems are substantiated.
Implemented by: Assoc.Prof. I.Q. Mamedov, Doctor of Mathematics

32. Algorithms and software for computer recognition of handwritten forms have been developed. The system underwent experimental operation and was transferred for use to the State Examination Center for recognition and processing of forms filled by applicants.
Implemented by: Assoc.Prof. S.Q. Talibov, PhD in Mathematics, E.E. Mustafayev, PhD in Engineering, S.H. Rzayeva

33. Methods for automated calibration of measuring instruments at oil and gas production facilities that improve the accuracy of the output product are developed.
Implemented by: Assoc.Prof. M.M. Isayev, PhD in Engineering, R.B. Nazarov, N.X. Badalova

34. Necessary second-order conditions are found for determining optimal control in stochastic singular systems with functional constraints at the endpoints of intervals when the diffusion coefficient is independent of control.
Implemented by: Assoc.Prof. Ch.A. Agayeva, PhD in Mathematics

SCIENTIFIC RESULTS OF PREVIOUS YEARS:
Scientific results obtained in 2015
Scientific results obtained in 2014
Scientific results obtained in 2013
Scientific results obtained in 2012
Scientific results obtained in 2011
Scientific results obtained in 2010