As of 30.01.2020
Name of the project: Geometric control theory and analysis on metric structures
Strategy for Scientific and Technological Development Priority Level: а
Research directions:
 Problems of metric analysis, geometric control theory and differential geometry on Riemann structures and nonholonomic structures and aspects of their applications to optimal control theory
 Optimization over infinite time intervals and longterm behavior of dissipative systems, research of anisotropic diffusion controlled by hypoelliptic equations.
 Usage of methods of geometric control theory to solving applied problems: control of configuration of moving bodies, image recovery and quantum systems control.
Project objective: Designing new powerful geometrical and analytical means for solving complex problems in geometric control theory and analysis on metric structures, as well as applications of achieved results to problems in adjacent domains of pure mathematics and applied fields of studies.
Hosting organization

Field of studies

City

Invited researcher

Time span of the project


International Laboratory of Cluster Geometry of the Faculty of Mathematics of the Higher School of Economics
Higher School of Economics — National Research University 
Maths 
Moscow 
Shapiro Michael
Russia 
20212023 
Laboratory of Interdisciplinary Power Engineering Problems
Ulyanovsk State Technical University 
Maths 
Ulyanovsk 
Simos Theodore Elias
Greece 
20212023 
Probabilistic Methods in Analysis
SaintPetersburg State University 
Maths 
St. Petersburg 
Hedenmalm Haakan Per
Sweden 
20212023 