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

  • Tatiana F. Filippova
  • Oksana G. Matviychuk
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7116)


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.


Steklov Institute Bounded Variation Admissible Control Impulsive Control Closed Convex Hull 
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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Tatiana F. Filippova
    • 1
  • Oksana G. Matviychuk
    • 1
  1. 1.Department of Optimal Control, Institute of Mathematics and MechanicsRussian Academy of SciencesEkaterinburgRussia

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