In this paper, we propose a distributed guidance law for the simultaneous
interception of a stationary target. For a group of `n’ heterogeneous pursuers,
the proposed guidance law establishes the necessary conditions on static graphs
that ensure simultaneous target interception, regardless of the initial
conditions of the pursuers. Building on these results, we also establish the
necessary conditions for achieving simultaneous interception in switching graph
topologies as well. The major highlight of the work is that the target
interception occurs in finite time for both static and switching graph
topologies. We demonstrate all of these results through numerical simulations.
Este artículo explora los viajes en el tiempo y sus implicaciones.
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2504.15803v1