## Mathematical Cybernetics

The department of “Mathematical Cybernetics” was founded on the basis of the department of “Applied Mathematics ” in 1988.The first head of the department who was the pupil of Z.Ya.Tsipkin and M.A. Krasnoselckiy, Doctor of Technical Sciences, Professor Faradjev Rzabala Hussein.He passed away in 1997. R.H.Faradjev is the author of 90 articles and 10 monographs in the field of theoretical and applied cybernetics. His works which dedicate to Fourier-Qaula transformation are the first works not only U.S.S.R. ,but also in the world. These works were basis ofspectral approach to the problems about discrete machines which is the one of the first directions in the technical cybernetics. These conclusions played great role in the creating numerical signals and quick algorithm for system using. The first monograph in worldwide literature dedicated to linear sequential machines belongs to him. Professor R.H.Faradjev played a great role in schooling experts in mathematical and technical cybernetics.

The well-known expert in the field of mathematical cybernetics, Doctor of Physical and Mathematical Sciences, Professor Kamil Bayramali Mansimov has been the head of the department since 1998.He was born in Bilasuvar region, Azerbaijan in 1950.In 1973 ,after graduating from the faculty of Mechanics and Mathematics at Baku State University with honorary diploma, he worked in the Cybernetics Institute of Azerbaijan National Academy of Science with honorary diploma, he worked in the Cybernetics Institute of Azerbaijan National Academy of Sciences till 1992. He has been working at the faculty of his PhD thesis. In 1994, K.B.Mansimov defended his doctoral thesis titled “Necessary optimality conditions of singular processes in optimal control problems”. He is the author of over 200 works, including 3 monographs and 10 tutorials. K.B.Mansimov proposed a new scheme for investigating singular controls and for deriving necessary optimality conditions in optimal control problems. Using this scheme he derived new original high-order necessary optimality conditions in various optimal control problems for systems with lumped and distributed parameters. K.B.Mansimov has been engaged in the investigation of different multi-stage processes for the recent years .Four PhD theses have been defended under the his direction. Nowadays he is directing seven candidates for a degree. K.B.Mansimov is the chairman of the Methodical Board of the faculty, as well as the scientific secretary of an expert commission of Supreme Examination Board on mathematics and mechanics at the President of Azerbaijan Republic.

The professor of department Knyaz Mammedov engages in using of discrete solutions of different classes of optimal problems. He is the author of some methods about optimal and suboptimal solutions of real and Bul programming problems which has one and many limitations. He is author of many articles which is published in very popular scientific journals and one monograph. Three PhD theses have been defended under his direction.

Associate professor Gashim Shimiyev engages in problems about mathematical methods of conflicts.

Associate professor Hamidov Sabir engages in problems about mathematical methods of dynamic economical models using non-smooth methods of analyzing.

Associate professor Ramazanov Ali engages in actual problems of e programming. His articles were published in many international and popular scientific journals.

Senior Lecturer Aslanova Nailya is the specialist in the sphere of linear sequential machines and finite automats.

Senior lecturer Alieva Saadet engages in 2-paramater optimal control problem which is the type of Fornazini-Markenzi. She got necessary conditions of 1^{st} and 2^{nd} dimensions for optimality.

**Now seven lecturers and one laboratory assistant are working at the department :**

- Mansimov Kamil Bayramali - Doctor of Physical and Mathematical Sciences, Professor.
- Mamedov Knyaz Shiraslan - Doctor of Physical and Mathematical Sciences, Professor.
- Shimiev Gashim Veli - Candidate of Physical and Mathematical Sciences, Associate Professor.
- Hamidov Sabir Isa - Candidate of Physical and Mathematical Sciences, Associate Professor.
- Ramazanov Ali Begdash - Candidate of Physical and Mathematical Sciences, Associate Professor.
- Aslanova Nailya Khanbelovna - Candidate of Physical and Mathematical Sciences, Senior Lecturer.

In 1993, the department of “Informational Technologies and Programming” was founded on the basis of the department. The courses of “Discrete mathematics”, “Mathematical Logic ”,“Theory of Algorithm”, ”Economical cybernetics” and “Graph Theory and combinatorial analysis” are being given in the department for bachelors. Masters are being schooled in two specialties: Mathematical Cybernetics and Discrete Systems.

The following seminars are being permanently held in the department:

- Qualitative theory of complex dynamical systems (headed by Prof. K.B.Mansimov).
- Discrete optimization and automata theory (headed by Prof. K.B.Mansimov and Prof. K.Sh.Mamedov)

**The following monographs and tutorials have been published by the members of the department :**

1.R.H.Faradjev. Linear sequential machines.M.:Sovr.Radio,1973.

2.R.H.Faradjev , G.V.Shimiyev. Discrete mathematics. Baku ,BSU Press.

3.R.H.Faradjev ,R.M.Djavadov. Discrete mathematics.Baku ,BSU Press,1992.

4.K.B.Mansimov. Optimal control problems for Goursat-Darboux systems.Baku, BSU Press, 1998.

5.K.B.Mansimov. Singular controls in systems with delays. Baku, ELM, 1999.

6.K.B.Mansimov. Discrete systems. Baku ,BSU Press,2002.

7.R.H.Faradjev, M.S.Akbarov, G.V.Shimiyev. Thoughts on cybernetics. Baku, ELM ,1989.

8.K.Sh.Mamedov, K.B.Mansimov ,S.I.Hamidov. Lecture on economical cybernetics. Baku, BSU Press, 2008.

9.K.B.Mansimov. Lectures on discrete mathematics. Baku, BSU Press, 2008.

10.K.B.Mansimov, A.B.Ramazanov. Collection of tasks on discrete mathematics. Baku, BSU Press, 2008.

11.K.B.Mansimov, M.J.Mardanov. Quantative theory of optimal control systems of Qursa-Darbu. Baku,ELM,2010.

12.K.B.Mansimov,J.B.Ahmedova,K.Sh.Mamedov,S.T.Aliyeva Problems Algorithm Theory. Baku, BSU Press. 2010.

13.K.B.Mansimov,J.B.Ahmedova,AliyevaS.T..Problems of Discrete Mathematics. Baku,BSU Press.2010.

14.K.B.Mansimov,F.G.Feyziyev,N.X.Aslanova. Coding theory. Baku.BSU Press.2010

15.N.X.Aslanova, K.B.Mansimov Lecture of Discrete mathematics. Baku. BSU Press.2010.

16.K.B.Mansimov. Some question of Quantative Theory of Optimal Process.//Dep. Viniti USSR .1982.

17.K.Sh.Mamedov.Method of solution of different classes of discrete optimization. Baku,ELM, 2011, page 344.

**The members of the department have been participating in the following conferences:**

1.7-th IFAC Workshop on contr.Applic.Of nonlinear program and optimiz. USSR, Tbilisi, 1988.

2.The Second All-Union School “Pontryagins’ Readings”.Optimal control. Kemerevo,1988.

3.International Soviet-Polish seminar “Mathematical Methods of Optimal Control and Their Application ”.Minsk,1989.

4.The Third All-Union School “Pontryagins’ Readings”.Optimal control. Kemrevo, 1990.

5.All-Union conference “Non-smooth analysis and their applications in mathematical economics ”.Baku,1991.

6.XVI All-Union School on operators theory in functional spaces. Nijniy Novgord ,1991.

7. I International conference on mathematical economics,nonlinear analysis and informatics.Baku,1997.

8.International conference “Dynamical systems”.Minsk,1998.

9. I International conference “Inverse problems of theoretical and mathematical physics”.

10.The first International conference on control and optimization with industrial applications.Baku,2005.

11.The second International conference on control and optimization with industrial applications.Baku,2005.

12.The second Informational Conference “Problems of Cybernetics and Informatics”.Baku,2008.

Department provides relation with the faculty BM and K in MSU by the name of M.V.Lomonosov, with the faculty of applied math and managing processes in Sankt-Peterburq State University, with the faculty of applied math in Irkutskiy State University , The Institute of Mathematics NAN in Belarus, with the faculty of applied math and informatics in Belarus State University, Belarus Economical State University, with t