356 citations · 488 across the 17 of their papers we have counts for
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math.OC2015★ 1 cited
Proofs of Technical Results Justifying and Illustrating an Algorithm of Navigation for Monitoring Unsteady Environmental Boundaries
Alexey S. Matveev, Michael C. Hoy, Kirill S. Ovchinnikov +2
We consider a single non-holonomic Dubins-like robot traveling with a constant longitudinal speed in an a priori unknown and unsteady planar environment. The robot should detect, l…
math.OC2015★ 7 cited
Proofs of the Technical Results Justifying an Algorithm of Extremum Seeking Navigation in Dynamic Environmental Fields
Alexey S. Matveev, Michael C. Hoy, Andrey V. Savkin
We consider a single kinematically controlled robot with a bounded control range. The robot travels in a two-dimensional region supporting an unknown unsteady scalar field. A singl…