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Master program "Mathematical Models of Complex Systems: Theory, Algorithms, Applications"

Director of the Program: Distinguished Professor of Moscow State (Lomonosov) Univeristy, Full Member of Russian Academy of Sciences Alexander B. Kurzhanski

The educational programme aims to prepare the graduates for activities requiring in-depth fundamental and professional knowledge, including research in applied mathematics and computer technology, development and use of mathematical models for processes and objects, development and application of advanced mathematical methods and software to address problems in science, technology, economics and management. The Mathematical Models of Complex Systems: Theory, Algorithms and Applications Master?s programme is aimed at studying the foundations of computational methods and software for new types of current problems in modelling, decision-making, and control of complex systems. The course covers the analysis of models that combine the system structure (including network, hierarchical or hybrid types) with appropriate system dynamics and descriptions of digital communication channels for observation and control.

The Program is aimed towards teaching the foundations of control theory, algorithms and software for new types of actual problems of modeling, decision-making, and control of complex systems. The graduates will be able to implement in practice and further develop the control theory, to apply it to real-world problems (for example, models of system which combine network or hierarchical structure, continuous dynamics, and digital communication channels for observation and control signals). Such mathematical problems arise in the computer communication systems and wireless networks (including routing circuits), in large electrical networks in order to ensure high stability and fault-tolerance. Such models also include those of motion in automotive and railroad transportation systems, regulation of highway load under safety restrictions and unknown