Scientific results obtained in 2018

1. Hybrid technologies of “Noise analysis” of noisy signals were developed, and the principles of “Hybrid intelligent systems for noise control” of the beginning, dynamics of development and prediction of accidents for facilities of oil and gas industry, petrochemistry, construction, transport, power engineering, etc.

Implemented by: Acad. T.A. Aliev, Doctor of Engineering, Gambar A.Guluyev, Doctor of Engineering, Fakhrad H. Pashayev, Doctor of Engineering, Assoc. Prof. Asif G. Rzayev, Doctor of Engineering.

Publications:

1. T.A.Aliev, A.H.Rzayev, G.A.Guluyev, T.A.Alizada, N.E.Rzayeva “Robust technology and system for management of sucker rod pumping units in oil wells”, Mechanical Systems and Signal Processing, 2018, voll. 99 (15), pp. 47-56 (WoS - 4,116);

2. T.A.Aliev, N.E.Rzayeva “Algorithms for determining spectral characteristics of interference of noisy signals”, Measurement Techniques, 2018, No 5, pp. 18-22 (WoS- 0,290);

3. T.A.Aliev, N.F.Musaeva, U.E.Sattarova, N.E.Rzayeva “Algorithms for forming correlaion matrices equivalent to matrices of useful signals of multidimensional stochastic objects”, Applied and Computational mathematics, 2018, vol. 17, №2, pp 205-215 (Wos – 2.365).

2. Original models of inventory management systems were proposed, in which query execution times are positive random variables and effective methods for their research were developed.

Implemented by: Prof., Corr. Member of ANAS Agasi Z. Melikov, Doctor of Engineering

Publications:

A.Z.Melikov, M.O.Shahmaliyev “Markov models of inventory management systems with a positive service time”, Journal of Computer and Systems Sciences International, 2018, Vol. 57, Issue 5, pp. 767-783 (WoS-0,554)

3. A numerical method was developed to optimize the placement of observation points for process control systems with distributed parameters with feedback. Software was developed, computer experiments were conducted.

Implemented by: Corr. Member Kamil R. Ayda-zade, Doctor of Mathematics, Prof. ANAS Vagif M.Abdullayev, PhD in Mathematics, Dissertationist Vugar A. Hashimov

Publications:

1. Aida-zade, V.A.Həşimov K.R. “Optimization of Measurement Points Positioning in a Border Control Synthesis Problem for the Process of Heating a Rod”, Automation and Remote Control, 2018, Vol. 79, No. 9, pp. 1643–1660. (WoS-0,562)

2. Abdullayev V.M., Aida-zade K.R. “Numerical Solution of the Problem of Determining the Number and Locations of State Observation Points in Feedback Control of a Heating Process”, Comput. Math. Math. Phys.Clarivate Analytics,, 2018, Vol.58, No.1, pp.78-89. (WoS-0,991).

3. Abdullayev V.M., Aida-zade K.R. “Numerical Solution of the Problem of Determining the Number and Locations of State Observation Points in Feedback Control of a Heating Process”, Comput. Math. Math. Phys.Clarivate Analytics,, 2018, Vol.58, No.1, pp.78-89. (WoS-0,991).

4. An approach was proposed for identifying the coefficients of parabolic equations. The coefficients were determined on the class of parametrically given functions whose parameters are piecewise constant in spatially variable functions. The boundaries of the domains of constancy were also determined on a parametrically defined class of functions. Calculation formulas were obtained, software was developed, test problems were solved on the example of determining parameters of a mathematical model of an oil reservoir.

Implemented by: Corr. Member Kamil R. Ayda-zade, Doctor of Mathematics, Assoc. Prof. Anar B. Ragimov, Assoc.Prof. Yegana R. Ashrafova, PhD in Mathematics

Publications:

1. Aida-zade K.R., Rahimov A.B. “Identification of piecewise constant filtration parameters and boundaries of their constancy domains”, Automation and Remote Control, 2017, Vol. 78, No. 8, pp. 1404-1416. (WoS-0.562)

5. An approach for the synthesis of concentrated zonal controls in control systems of objects with distributed parameters was proposed. Calculation formulas were obtained, algorithms and software were developed for determining the optimal values of the parameters of synthesized controls.

Implemented by Corr. Member Kamil R. Ayda-zade, Doctor of Mathematics, Assoc.Prof. Samir Z. Guliyev, PhD in Mathematics

Publications:

1. S.Z.Quliyev “Synthesis of zonal controls for a problem of heating with delay under nonseparated boundary conditions/ Cybernetics and Systems (SJR-0.273)

6. Applying an unconventional version of the increment method, a necessary and sufficient optimality condition was obtained in the form of the Pontryagin maximum principle in an optimal control problem with distributed parameters, described by the 3D Bianchi equation, with Goursat boundary conditions in Sobolev spaces of variable order with dominant mixed derivatives.

Implemented by: Corr. Member Vagif S.Guliyev (Institute of Mathematics and Mechanics of ANAS), Doctor of Mathematics, Prof. ANAS Rovshan A. Bandaliev (Institute of Mathematics and Mechanics of ANAS), Doctor of Mathematics; Prof. Ilgar G. Mammedov, Doctor of Mathematics, Assoc. Prof. Yasin I. Rustamov, Doctor of Engineering (ICS ANAS).

Publications:

1. Rovshan A. Bandaliyev, Vagif S. Guliyev, Ilgar G. Mamedov, Yasin I. Rustamov Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces. Journal of Optimization Theory and Applications pp 1–18, Article First Online: 03 May 2018,

ISSN: 0022-3239 (Print) 1573-2878 (Online) Impact Factor 1.234 (WoS-1,289)

7. The condition of ergodicity of the first component, the so-called controlled Poisson process without boundary, was established. Given the transition probabilities of the Markov process , the Laplace transform of the distribution of the same component was found.

Implemented by: Assoc.Prof. Tofig M. Aliyev, PhD in Mathematics, Assoc.Prof. Kenul K. Omarova, PhD in Mathematics.

Publications:

1. T.M.Алиев, К.К.Омарова «О распределение первого компонента η_t управляемого пуассоновского процесса без границы», Математические заметки, 2018, том 104:5, с. 643–648. (WoS -0.577)

8. Using the method of discrete approximation for differential inclusions of Sturm-Liouville type described by linear self-adjoint operators of second order, the Mayer problem of optimal control theory was considered and different Euler-Lagrange and Hamilton types of optimality conditions were proved.

Implemented by: Prof. Elmkhan N. Mahmudov, Doctor of Mathematics.

Publications:

E.N.Mahmudov “Optimization of Mayer Problem with Sturm–Liouville-Type Differential Inclusions”, Journal of Optimization Theory and Applications, 2018, vol. 177, Issue 2, pp. 345-375 (WoS – 1,234)

9. With the restriction at the right end of the admissible trajectories, taking into account the monotony and reachability for an arbitrary finite order of differential inclusions, problems were investigated in the sense of speed, and in particular cases the Pontryagin maximum principle was derived.

Implemented by: Prof. Elmkhan N. Mahmudov, Doctor of Mathematics.

Publications:

1. E.N.Mahmudov “Free time optimization of higher order differential inclusions with endpoint constraints”, Applicable Analysis, 2018, vol. 97, Issue 12, pp.2071-2084 (WoS – 0,963);

2. E.N.Mahmudov “Free time optimization of second-order differential inclusions with endpoint constraints”, Journal of Dynamical and Control Systems, 2018, vol. 24, Issue 1, pp.129-143 (WoS – 0,693)

10. The newest Bolts-type optimal control class for second-order discrete and differential inclusions with retarded argument and phase constraint was studied and necessary and sufficient optimality conditions were formulated.

Implemented by: Prof. Elmkhan N. Mahmudov, Doctor of Mathematics.

Publications:

E.N.Mahmudov, “Optimal Control Of Second Order Delay-Dıscrete And Delay-Differential Inclusions With State Constraints”, Evolution Equations & Control Theory, 2018, vol. 7, Issue 3, pp.501-529 (WoS – 1,049)

11. Necessary and sufficient optimality conditions in the Euler-Lagrange and Hamiltonian forms and transversality conditions were found for problems described by second-order differential inequalities and convex discrete and differential inclusions.

Implemented by: Prof. Elmkhan N. Mahmudov, Doctor of Mathematics

Publications:

E.N.Mahmudov “Convex optimization of second order discrete and differential inclusions with inequality constraints”, Journal Convex Analysis, 2018, vol.25, Issue 1, pp. 293-318 (SJR – 0,534)

12. Taking into account the specific features (nano-phenomena) of emulsification and demulsification, a mathematical model of thermochemical oil dehydration processes was developed.

Implemented by: Prof. Abbas G. Rzayev, Doctor of Engineering

Publications:

1. A.G Rzaev, G I.Kelbaliev, G.R.Mustafaeva, S.R.Rasulov “Modeling of Emulsion Formation and Breaking in Thermochemical Oil Treatment Process”, Chemistry and Technology of Fuels and Oils, July 2018, Volume 54, Issue 3, pp 249–264 (WoS – 0,317)

13. Equations of the optimal filter in the linear filtering problem with wide-band noise were synthesized. The equations are invariant in the sense that they depend on autocovariance functions and are independent of other parameters of broadband noise.

Implemented by: Prof. Agamirza A. Bashirov, Doctor of Engineering

Publications:

1. A.E.Bashirov, “Linear filtering for wide band noise driven observation systems”, Circuits, Systems, and Signal Processing, 2017, vol. 36, Issue 3, pp. 1247-1263 (WoS – 1,998).

2. A.E.Bashirov, K. Abuassba, “Invariant filtering results for wide band noise driven signal systems”, TWMS Journal of Applied and Engineering Mathematics, 2018, vol. 8, No. 1, pp. 71-82 (Emerging Sources Citation Index-li)

14. The factors affecting the dynamics of the world market price for oil were classified and new trends in the development of the world economy in the modern era were analyzed. It was revealed that hybrid models (TREND, ARIMA and DUMMY) give the most accurate results.

Implemented by: Prof. Yadulla H. Hasanli, Doctor of Economics

Publications:

1. A. Muradov, Y.Hasanli, N.Hajiyev, R.Akbarov “ Modelling the Impact of the Solar Activity on Demographic and Economic Indicators”, International Journal of Energy Economics and Policy, 2018, 8(4), 120-124.ISSN: 2146-4553 (SJR-0,465);

15. It was shown that the density distribution function of the noise of a noisy random signal is the most complete and comprehensive characteristic for identifying the initial period of initiation and the degree of malfunction development. Algorithms and technologies were developed for applying this characteristic of the noise of a signal to prevent the development of defects in sucker rod pumping units.

Implemented by: Prof. N.F. Musaeva, Doctor of Engineering, r. M.T. Suleymanova, Assoc.Prof. B.I. Gazizade

Publications:

1. Aliev T.A., Musaeva N.F., Suleymanova M.T. (dissertant) “Algorithms for indicating the beginning of accidents based on the estimate of the density distribution function of the noise of technological parameters”, Automatic Control and Computer Sciences, 2018, vol. 52, № 3, pp. 231-242 (SJR-0.218);

2. Aliev T.A., Musaeva N.F., Gazizade B.I. “Algorithms for calculating high-order moments of the noise of noisy signals”, Journal of Automation and Information Sciences, 2018, vol. 50, № 6, p.1-13. (SJR-0.238);

3. Aliev T.A., Musaeva N.F., Gazizade B.I. “Algorithms of building a model of the noisy process by correction of the law of its distribution”, Journal of Automation and Information Sciences, 2017, vol.49, Issue 9, p.61-75 (SJR-0,238);

16. A neural network architecture with pairwise sequential separation of images was proposed. It was shown that such an architecture can be applied to a recognition task with a very large number of images with the addition of previous network settings to it. The proposed neural network is distinguished by a simple architecture and the possibility of simple training.

Implemented by: Assoc.Prof. Polad Sh. Heydarov, PhD in Engineering

Publications:

1. P.Sh.Geidarov “Neural Networks with Image Recognition by Pairs”, Optical Memory and Neural Networks, 2018, Vol. 27, No. 2, pp. 113–119.(SJR – 0,276);

2. Гейдаров П.Ш. “Архитектура нейронной сети с попарно последовательным разделением образов”, Прикладная дискретная математика, Томск, 2018, №41, с.98-109 (SJR-0,2)