356 citations · 488 across the 17 of their papers we have counts for
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math.OC2016★ 5 cited
Technical Facts About Dynamic Scalar Fields Underlying Algorithms of Mobile Robots Navigation for Tracking Environmental Boundaries and Extremum Seeking
Alexey S. Matveev, Anna A Semakova, Andrey V. Savkin
The paper presents some characteristics of unsteady scalar planar fields and studies their properties that are relevant to research on environmental extremum seeking and tracking e…
math.OC2016★ 3 cited
Proofs of the Technical Results Justifying an Algorithm of Reactive 3D Navigation for a Surface Scan by a Nonholonomic Mobile Robot
Alexey S. Matveev, Kirill S. Ovchinnikov, Andrey V. Savkin
A single nonholonomic under-actuated mobile robot with a bounded control range travels in a 3D workspace. This workspace also hosts a compact unknown domain with a smooth boundary.…