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

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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

DOI: http://dx.doi.org/10.1134/S1064230710040015

Publication date: August 1, 2010

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