11 papers · 1 filter
Polynomial Convergence of an Observer for an Infinite-Dimensional Oscillating System
Alexander Zuyev, Julia Kalosha
This paper is devoted to analyzing the observer convergence rate for a class of linear control systems in a Hilbert space. To characterize the polynomial stability of the observer…
Control design for partial stabilization of nonlinear mechanical systems with random disturbances
Alexander Zuyev, Iryna Vasylieva
The problem of partial stabilization for nonlinear control systems described by the Ito stochastic differential equations is considered. For these systems, we propose a constructiv…
Partial stabilization of stochastic systems with application to rotating rigid bodies
Alexander Zuyev, Iryna Vasylieva
This paper addresses the problem of stabilizing a part of variables for control systems described by stochastic differential equations of the Ito type. The considered problem is re…
On exponential stabilization of nonholonomic systems with time-varying drift
Victoria Grushkovskaya, Alexander Zuyev
A class of nonlinear control-affine systems with bounded time-varying drift is considered. It is assumed that the control vector fields together with their iterated Lie brackets sa…
Partial Stability Concept in Extremum Seeking Problems
Victoria Grushkovskaya, Alexander Zuyev
The paper deals with the extremum seeking problem for a class of cost functions depending only on a part of state variables of a control system. This problem is related to the conc…
Stabilization of non-admissible curves for a class of nonholonomic systems
Victoria Grushkovskaya, Alexander Zuyev
The problem of tracking an arbitrary curve in the state space is considered for underactuated driftless control-affine systems. This problem is formulated as the stabilization of a…