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Central European Journal of Operations Research

, Volume 18, Issue 4, pp 511–523 | Cite as

On the relationship between continuous- and discrete-time control systems

  • V. M. VeliovEmail author
Original Paper

Abstract

Building on previous results of the author this paper presents two new error estimates for the reachable set of an affine control system if only piece-wise constant admissible controls on a uniform mesh are used instead of all measurable admissible controls. It is natural to expect that the resulting “shrinkage” of the reachable set is of the order of the mesh size. In this paper it is proved that under certain reasonable conditions the error is of higher than first order.

Keywords

Control systems Discretization Error analysis 

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.ORCOS, Institute of Mathematical Methods in EconomicsVienna University of TechnologyViennaAustria

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