A Guide to the Russian Academy of Sciences - University of Texas ...

The models for the conjugate problems of discriminant and cluster
analysis have been invented and well-found.
Some methods of optimal planning, which use the Pattern Recognition for
the consideration of non-formalized constraints and objectives, have
been invented and well-found.
The mathematical models, methods and software have been invented and
well-found for the problems of optimal planning of ore-mining
enterprises. They have been accepted for practical use in industry.
The mathematical models, methods and software have been invented and
well-found for the problems of optimal planning of machine-building
enterprises. They have been accepted for practical use in industry.
The mathematical models and methods have been invented for the problems
of medical diagnostics, selection of methods of treatment and
optimization of the parameters of treatment. They have been accepted
for practical use in the medical organizations of Sverdlovsk region.
Current Investigations:
The construction of the theory of the conjugate problems for the
non-formalized models of decision making ( including the models of
Pattern Recognition ).
The development of the software KVAZAR-PC for the purpose of expanding
the user's possibilities and achievement of stable commercial demand
for this software.
The development of the system of optimal planning of enterprises with
its adoption in industry.
The development of expert systems and software for the mathematical
biomedicine with their adoption in health services.
Optimal Control Department
The department was organized in 1973. From the very beginning up to 1984 Doctor of
Science Professor Kurzhanskii A. B. (now Academician) was at the head of the
department. Since 1984 A. B. Kurzanskii being the leader of scientific program in
the International Institute for Applied System Analysis (Austria) has been providing
scientific supervision over the department researches. In 1986 the section of
nonlinear analysis headed by Doctor of Science, Professor Zavalishin S. T. was
incorporated.
Uncertainty is inherent in most dynamic systems, describing the evolutionary processes in
physical, biological and social sciences (uncertainty in system's parameters, in
initial data, in system's input etc.). The behavior of uncertain system is not
predetermined by the past history of the system, but may depend on that history in a
probabilistic or multivalued way. The information uncertainty can be clarified
through measurements or observation of accessible parameters. Conventional
schemes for describing the evolution and performance of dynamic systems with
informational uncertainty are either stochastic or deterministic (the so-called
guaranteed approach) or may combine these approaches.
Investigation of the department are concerned with the following new concepts, theories
and mathematical techniques for analyses of the behavior of dynamic systems under
conditions of uncertainty:
theory of observation, filtering and identification for ordinary and
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