108 citations · 262 across the 36 of their papers we have counts for
6 papers · 1 filter
Analysis of switching strategies for the optimization of periodic chemical reactions with controlled flow-rate
Peter Benner, Andreas Seidel-Morgenstern, Alexander Zuyev
An isoperimetric optimal control problem with non-convex cost is considered for a class of nonlinear control systems with periodic boundary conditions. This problem arises in chemi…
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…
On stabilization of nonlinear systems with drift by time-varying feedback laws
Alexander Zuyev, Victoria Grushkovskaya
This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around…