activity
20072026
most citedOn a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties

108 citations · 262 across the 36 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

math.OC2024

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…

math.OC2024

On the Controllability of an Orbiting Satellite Model with Electromagnetic-only Actuation

Yevgeniia Yevgenieva, Alexander Zuyev, Julia Kalosha

This paper presents sufficient conditions for small-time local controllability of a control-affine system that describes the rotational motion of a satellite in a circular orbit. T…

math.OC2024

Dynamic Modelling of a Controlled Orthotropic Plate: Analytic and Data-Driven Approaches in the Frequency Domain

Alexander Zuyev, Francesco Pellicano, Antonio Zippo +1

This paper is devoted to the mathematical modelling of a vibrating orthotropic plate equipped with a laminated piezosensor, under the influence of a lumped force actuation. We empl…

math.OC2024★ 2 cited

Stabilization of a Nonholonomic Car Model with Off-Hooked Trailers

Alexander Zuyev, Victoria Grushkovskaya

We consider a kinematic model of a controlled car with two trailers by assuming that each trailer is attached at some distance from the preceding axle ("off-hooked trailers"). For…

math.OC2024★ 1 cited

Estimates of the Kolmogorov n-width for nonlinear transformations with application to distributed-parameter control systems

Alexander Zuyev, Lihong Feng, Peter Benner

This paper aims at characterizing the approximability of bounded sets in the range of nonlinear operators in Banach spaces by finite-dimensional linear varieties. In particular, th…

math.OC2024

Iterative approximations of periodic trajectories for nonlinear systems with discontinuous inputs

Alexander Zuyev, Peter Benner

Nonlinear control-affine systems described by ordinary differential equations with bounded measurable input functions are considered. The solvability of general boundary value prob…