Geometrical model of external control in complex systems
Author: Malafeeva, A.
Source: Journal of Computer and Systems Sciences International, Volume 49, Number 4, August 2010 , pp. 529-536(8)
Publisher: MAIK Nauka/Interperiodica
Abstract:Mathematical description of control processes in complex systems is discussed. Specific features of such processes are considered, and analysis and synthesis techniques for such systems based on differential geometry are proposed. A mathematical model of control processes in a complex system is presented as a gauge transformation in a fiber bundle with a base parameterized by the time coordinate. External control is formed as a gauge field for a system in fiber spaces.
Document Type: Research Article
Publication date: August 1, 2010