5 citations · 7 across the 3 of their papers we have counts for
3 papers
cs.RO2023★ 1 cited
Geometric Facts Underlying Algorithms of Robot Navigation for Tight Circumnavigation of Group Objects through Singular Inter-Object Gaps
Valerii Chernov, Alexey Matveev
An underactuated nonholonomic Dubins-vehicle-like robot with a lower-limited turning radius travels with a constant speed in a plane, which hosts unknown complex objects. The robot…
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.OC2014★ 1 cited
Reactive Kinematic Navigation among Moving and Deforming Obstacles with Global Proofs
Alexey S. Matveev, Michael C. Hoy, Andrey V. Savkin
We present a method for guidance of a Dubins-like vehicle with saturated control towards a target in a steady simply connected maze-like environment. The vehicle always has access…