activity
20202026
most citedOn the Eigenvalue Distribution for a Beam with Attached Masses

6 citations · 13 across the 9 of their papers we have counts for

collaborators

9 papers

math.OC2026

Analytical and Reduced-Order Modeling of a Timoshenko Beam with Point Actuation

Alexander Zuyev, Julia Kalosha

We present frequency-domain models of a controlled mechanical system consisting of a flexible beam and a rigid body. The transfer function for the beam, governed by the Timoshenko…

math.OC2025

Frequency-Domain Analysis of the Euler-Bernoulli and Timoshenko Beams with Attached Masses

Alexander Zuyev, Julia Kalosha

This work focuses on the frequency-domain modeling of a control system with a flexible beam and a rigid body. A simply supported beam is equipped with a spring-loaded control actua…

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.OC2023

Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment

Julia Kalosha, Yevgeniia Yevgenieva, Alexander Zuyev

We consider a mathematical model of an orbiting satellite, comprising a rigid carrier body and a flexible boom, operating under the influence of gravity gradient torque. This model…

math.OC2022★ 3 cited

A Dynamic Observer for a Class of Infinite-Dimensional Vibrating Flexible Structures

Alexander Zuyev, Julia Kalosha

Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer…

math.OC2021★ 1 cited

Observer Design for a Flexible Structure with Distributed and Point Sensors

Alexander Zuyev, Julia Kalosha

The paper is devoted to the observability study of a dynamic system, which describes the vibrations of an elastic beam with an attached rigid body and distributed control actions.…

math.OC2021★ 3 cited

Asymptotic Stabilization of a Flexible Beam with an Attached Mass

Julia Kalosha, Alexander Zuyev

A mathematical model of a simply supported Euler-Bernoulli beam with attached spring-mass system is considered. The model is controlled by distributed piezo actuators and lumped fo…

math.OC2020★ 6 cited

On the Eigenvalue Distribution for a Beam with Attached Masses

Julia Kalosha, Alexander Zuyev, Peter Benner

We study a mathematical model of a hinged flexible beam with piezoelectric actuators and electromagnetic shaker in this paper. The shaker is modelled as a mass and spring system at…