4 papers
Algebraic Conjugacy of Linear Flows on Connected Lie Groups
S. N. Stelmastchuk
We study algebraic conjugacy of linear flows on connected Lie groups. To each linear flow we associate a derivation of the Lie algebra, and we analyze how the conjugacy problem can…
Projective Controllability of Complete Lifted Control Systems
S. N. Stelmastchuk
We introduce the complete lifted control system associated with a control system on a smooth manifold by replacing each vector field with its complete lift to the tangent bundle. W…
Controllability of Linear Control Systems on Solvable Lie Groups with Hyperbolic Drift
S. N. Stelmastchuk
We study the controllability of linear control systems on connected solvable Lie groups with hyperbolic drift. Under a suitable splitting assumption on the control directions, we s…
Vertical Control Systems on Tangent Bundles and Fiberwise Controllability
S. N. Stelmastchuk
We study control systems on the tangent bundle of a smooth manifold induced by vertical lifts of vector fields. The Vertical dynamics acts exclusively along the fibers, leaving the…