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Reachable Sets of Impulsive Control System with Cone Constraint on the Control and Their Estimates

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Large-Scale Scientific Computing (LSSC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7116))

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Abstract

The problem of estimating reachable sets of linear measure driven (impulsive) dynamical control system with uncertainty in initial data is considered. It is assumed that the impulsive controls in the dynamical system belong to the intersection of a special cone with a generalized ellipsoid both taken in the space of functions of bounded variation. The algorithms for constructing the external ellipsoidal estimates of reachable sets for such control systems are given. Numerical simulation results relating to the proposed procedures are also discussed.

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Author information

Authors and Affiliations

  1. Department of Optimal Control, Institute of Mathematics and Mechanics, Russian Academy of Sciences, 16 S. Kovalevskaya str., Ekaterinburg, 620990, Russia

    Tatiana F. Filippova & Oksana G. Matviychuk

Authors
  1. Tatiana F. Filippova
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  2. Oksana G. Matviychuk
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Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev, Block 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov  & Svetozar Margenov  & 

  2. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersens Plads, Building 321,, 2800, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Filippova, T.F., Matviychuk, O.G. (2012). Reachable Sets of Impulsive Control System with Cone Constraint on the Control and Their Estimates. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2011. Lecture Notes in Computer Science, vol 7116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29843-1_13

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  • DOI: https://doi.org/10.1007/978-3-642-29843-1_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29842-4

  • Online ISBN: 978-3-642-29843-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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