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

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  • V. Veliov

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. Copyright Springer-Verlag 2010

Suggested Citation

  • V. Veliov, 2010. "On the relationship between continuous- and discrete-time control systems," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 511-523, December.
    • Handle: RePEc:spr:cejnor:v:18:y:2010:i:4:p:511-523
    DOI: 10.1007/s10100-010-0167-2
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    References listed on IDEAS

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    1. Dieter Grass & Jonathan P. Caulkins & Gustav Feichtinger & Gernot Tragler & Doris A. Behrens, 2008. "Optimal Control of Nonlinear Processes," Springer Books, Springer, number 978-3-540-77647-5, September.
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    Cited by:

    1. Richard Hartl & Ulrike Leopold-Wildburger & Marion Rauner & Gerhard Sorger & Gernot Tragler & Vladimir Veliov, 2010. "Editorial “In honor of Gustav Feichtinger”," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(4), pages 433-435, December.

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