Main lines of the Institute's activities:
Development of the general theory and methods of system analysis, mathematical simulation, optimization and artificial intelligence;
Development of the general control theory, as well as methods and means to construct various-purpose intelligent control systems of different levels;
Creation of the general theory of computers and development of the advanced facilities used in computer science and engineering, artificial intelligence and information science;
Creation of advanced general-purpose and application-oriented mathematical support systems;
Development of new information technologies and intelligent systems;
Study of fundamental and application problems concerned with information support provided for the society.
Scientific schools of:
Mathematical cybernetics, optimization and system analysis;
Programming theory;
Reliability and mathematical simulation theory;
Computer and system theory.
Results of the international level:
Investigations and practical algorithms in non-differentiable, stochastic and discrete optimization;
Methods for assessing extreme states in high-reliability systems;
Asymptotic methods in reliability theory;
The theory and methods for designing application software systems with the use of deductive verification of system components;
Methods for solving dynamic problems concerned with the approaching of moving objects;
Macromodular programming philosophy aimed at constructing semantically controlled high-tech systems;
Theoretical fundamentals for creating a new class of high-performance knowledge-oriented computers, i.e of intelligent solving machines;
Theoretical and experimental investigations, software and tools-based facilities for registering, mapping and analyzing parameters of magnetic fields of the human heart.
The Institute proposes for joint upgrading:
Investigation of dynamics and development of algorithms of charged particles transportation in plasma media;
A technology for designing application software systems with the use of deductive verification of system components;
Portable instruments for non-invasive diagnostics of the microcircular bed status in the blood-circulation system and some important blood parameters.