On State Estimation for Multi-Agent Motion: Discrete-Time Systems

Authors

  • Elena K. Kostousova N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

DOI:

https://doi.org/10.14529/cmse160102

Keywords:

reachable sets, discrete-time systems, multi-agent motion, polyhedral estimates

Abstract

The reachability problem for linear discrete-time control systems which describe multi-agent motion is considered. Namely, we consider a finite set of subsystems with controls to be chosen under the condition that the trajectories of the subsystems are pairwise not very close to and not very far away from each other. Properties of reachable sets of such systems are described. Some algorithms for constructing external polyhedral (parallelepiped-valued) estimates for reachable sets are proposed.

Author Biography

Elena K. Kostousova, N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Отдел оптимального управления, ведущий научный сотрудник, д.ф.-м.н.

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Published

2015-11-05

Issue

Section

Numerical Mathematics