Arkadii A. Chikrii

Head of the department Optimization of Controlled Processes
Cybernetics Institute, National Academy of Sciences
Professor of Kyiv National University
Professor of Kyiv Technical University "Politechnical Institute"

Current research interests

A Short Biography

Resume of Arkadii Chikrii

http://www.word2tex.com/aachik.html
mailto: chik@d165.icyb.kiev.ua
Office Phone: (380-44) 266-21-58
Office Fax: (380-44) 266-41-18
Secretary Phone: (380-44) 266-04-58
Main Address: 40 Glushkov Prsp., 03187 Kyiv, Ukraine

Current research interests

• Applied nonlinear analysis, theory of set-valued mappings, convex analysis
• Mathematical theory of optimal control
• Game problems for discrete systems
• Differential games of pursuit and Evasion
• Theory of search for moving objects
• Bilinear and nonlinear systems of control
• Game problems for system of integral, integral-differential, difference-differential equations
• Fractal games
• Dynamic games with group of participans, group pursuit, successive pursuit
• Systems with impulse control, systems with integral constraints on control, systems with state constraints
• Applications to the creation of control systems for spacecrafts and aircrafts, and systems of search for moving objects

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A Short Biography

Chikrii Arkadii Alexeyevich was born in Ukraine (Khmelnitskii region, Tarnoruda) on 20 july 1945; in 1968 graduated from mechanical-mathematical department of Lvov university, Ukraine, degree in mathematics; in 1972 obtained candidate degree, in 1979 -- doctor degree in physics and mathematics; since 1968 has been working at the Cybernetics Institute of National Ukrainian Academy of Science as junior researcher, senior researcher, leading researcher and since 1988 as the head of the department of "Optimization of Controlled Processes'', author of 250 scientific publications, in their number, four monographs:

1. Conflict Controlled Processes, Naukova Dumka, Kyiv, 1992, 384 p.;
2. Linear-Quadratic Differential Games, Naukova Dumka, Kyiv, 1994, 320 p. (in coauthorship with Zhukovskii V.J.);
3. Conflict-controlled Processes, Kluwer Academic Publisher, Boston-London-Dordrecht, 1997, 424 p.;
4. Soft Landing of Moving Objects, NIST, Gaithersburg, USA, 1998, 137 p. (in coauthorship with J. Albus, A. Meystel).;

and also the surveys in the following books by the groups of the authors

1. Mathematical Control Theory, International Mathematical Banach Center Publication, vol. 14, PWN, Warsaw, 1985, 81-107;
2. New Trends in Dynamic Games and Applications, Birkhauser, Boston-Basel-Berlin, 1995 (G. Olsder, editor) 259-269, 323-330;
3. Quasilinear Controlled Processes under Conflict, Dynamical Systems, 2, J. Math. Sci. 80 (1996), N1, 1489-1518.

Chikrii A.A. is the member of editorial staffs of the Journals "Problems of Control and Informatics'' and "Cybernetics and Computing Technology'' republished in the USA; Soros professor of Kyiv National university; member of American Mathematical Society, corresponding member NAS of Ukraine.

The scope of scientific interests is applied nonlinear analysis, mathematical theory of optimal control, the theory of differential and integral games, the theory of search of moving objects and its applications in the creation of control systems for spacecrafts and aircrafts, and systems of search of moving objects.

Arkadii Chikrii is a member of several scientific organizations, among which are AMS (American Mathematical Society), ISDG (International Society of Dynamic Games), GAMM (Gesellschaft fur Angewandte Mathematik and Mechanik). In 1999 he was elected a Vice-President of Ukrainian Association of Automatic Control (IFAC division). Prof. Chikrii was elected an academican of Ukrainian Airspace Academy (1994), a corresponding member of International Academy of Computer Sciences and Systems (1995) and a corresponding member of National Academy of Sciences (1997).

He is a member of editorial board of following scientific journals:

• Information Technology for Economics and Management
• Ukrainian Economic Review
• Information Technologies and Systems
• Journal of Automation and Information Sciences (Begell House, Inc., U.S.A.)
• Cybernetics and Computational Techniques, Complex Systems of Control
• Theory of Optimal Solutions

Among recent honours and awards he has received are:

• Grant of Soros professor (1994-1996)
• State prize in the field of science and technique winner (1999)

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Resume of Arkadii Chikrii

Birth:

July 20, 1945, Tarnoruda, Khmelnitskii region, Ukraine

Current Position:

Head of the department Optimization of Controlled Processes
Cybernetics Institute, National Academy of Sciences
Professor of Kyiv National University
Professor of Kyiv Technical University

Office Address:

Cybernetics Institute of NAS
40 Glushkov Prsp.
03187 Kyiv, Ukraine

Telephone: (380-44) 266-2158
Fax: (380-44) 266-4118
Telephone (secretary): (380-44) 266-0458
http://www.word2tex.com/aachik.html
mailto: chik@d165.icyb.kiev.ua

Degrees:

• mathematics, Lviv University, Lviv, Ukraine, 1968
• candidate in physics and mathematics (PhD equivalent), Cybernetics Institute, Kyiv, 1972
• doctor in physics and mathematics, Cybernetics Institute, Kyiv, 1979

Earlier Positions:

• engineer, Cybernetics Institute, Kyiv, 1968-1972
• junior researcher, Cybernetics Institute, Kyiv, 1972-1975
• senior researcher, Cybernetics Institute, Kyiv, 1975-1986
• leading researcher, Cybernetics Institute, Kyiv, 1986-1988
• head of the laborotory, Cybernetics Institute, Kyiv, 1988-1990
• head of the department, Cybernetics Institute, Kyiv, 1990-
• prof. of Kyiv National University, 1980-
• prof. of Kyiv Technical University, 1998-

Awards, Honours and Recognitions:

• Soros professor, Kyiv National University, 1994-1996
• State prize winner in the field of science and technique, 1999
• Academician of Ukrainian Airspace Academy, 1994
• Corresponding member of International Academy of Computer Sciences and Systems, 1995
• Corresponding member of the National Academy of Sciences, 1997

Membership:

• American Mathematical Society, member
• International Society of Dynamic Games, member
• Gesellschaft fur Angewandte Mathematik and Mechanik, member
• Ukrainian Association of Automatic Control, Vice-President

Member of Editorial Board:

• Information Technology for Economics and Management
• Ukrainian Economic Review
• Information Technologies and Systems
• Journal of Automation and Information Sciences (Begell House, Inc., U.S.A.)
• Cybernetics and Computational Techniques, Complex Systems of Control
• Theory of Optimal Solution

Current Research Interests:

• Applied nonlinear analysis, theory of set-valued mappings, convex analysis
• Mathematical theory of optimal control
• Game problems for discrete systems
• Differential games of pursuit and Evasion
• Theory of search for moving objects
• Bilinear and nonlinear systems of control
• Game problems for system of integral, integral-differential, difference-differential equations
• Fractal games
• Dynamic games with group of participans, group pursuit, successive pursuit
• Systems with impulse control, systems with integral constraints on control, systems with state constraints
• Applications to the creation of control systems for spacecrafts and aircrafts, and systems of search for moving objects

Courses of lectures, delivered to students of National University amd Technical University (1980-2000):

• Theory of differential games
• Introduction to general game theory
• Elements of convex analysis and theory of set-valued mappings
• Mathods of persuit and evasion
• Search for moving objects
• Optimal control

Supervision of postgraduates:

Under supervision of prof.Chikrii 22 postgraduates have obtained candidate scientific degree in mathematics for the thesises in the theory of dynamic games.

Publications:

Books - 3, surveys - 5, journal articles - 106, collections of papers - 52, abstract and proceedings of conferences - 77, scientific reports - 7.

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