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math.OC2016
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.…
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…