3 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.OC2026
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…