Speaker
Alexander Zuyev
Description
This talk addresses the stabilization problem for essentially nonlinear control-affine systems under the Lie Algebra Rank Condition (LARC). Previously, a family of oscillating feedback controls was proposed to stabilize the equilibrium of a driftless system under higher-order controllability assumptions. This stabilization scheme relies on a sampling process, which differs from the classical definition of solutions to the closed-loop system or the definition in the sense of Carathéodory.
In the present talk, we refine the design of feedback controllers by presenting sufficient conditions for the exponential and polynomial convergence of classical solutions of the closed-loop system to the stabilized target.
