Asymptotic theory of attainable sets to linear periodic impulsive control systems
Authors: Goncharova, E.; Ovseevich, A.
Source: Journal of Computer and Systems Sciences International, Volume 49, Number 4, August 2010 , pp. 515-523(9)
Publisher: MAIK Nauka/Interperiodica
Abstract:In this paper, asymptotic large-time dynamics of attainable sets to linear periodic control systems with bounded total impulse of control is studied. Asymptotic formulas for attainable sets and their shapes, i.e., the same sets considered up to an arbitrary nonsingular linear transformation, are found. It is shown that all limit shapes are obtained as the join of the limit shapes for neutral, stable-neutral, and unstable-neutral system components.
Document Type: Research Article
Publication date: August 1, 2010