## Generalized non-autonomous metric optimization for area coverage problems with mobile autonomous agents.(English)Zbl 1370.93021

Summary: Motivated by area coverage optimization problems with time-varying risk densities, in this paper we propose a decentralized control law for a team of autonomous mobile agents in a 2-D area such that their asymptotic configurations optimize a generalized non-autonomous coverage metric. We emphasize that the generalized non-autonomous coverage metric explicitly depends on a nonuniform time-varying measurable scalar field that is defined by the trajectories of a set of mobile targets (distinct from the agents). The time-varying density that we consider here is not directly controllable by agents. We show that under certain conditions on the density defined on a closed bounded region of operation, the agents configure themselves asymptotically to optimize a related generalized non-autonomous coverage metric. A set of simulations illustrates the proposed control.

### MSC:

 93A14 Decentralized systems 68T42 Agent technology and artificial intelligence 93D20 Asymptotic stability in control theory
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### References:

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