activity
20232026
collaborators

6 papers

eess.SY2026

Solvability of the Output Corridor Control Problem by Pulse-Modulated Feedback

Alexander Medvedev, Anton V. Proskurnikov

The problem of maintaining the output of a positive time-invariant single-input single-output system within a predefined corridor of values is treated. For third-order plants posse…

math.DS2025

Design of Cycles by Impulsive Feedback: Application to Discrete Dosing

Alexander Medvedev, Anton V. Proskurnikov, Zhanybai T. Zhusubaliyev

The task of maintaining a predefined level of effect in a dynamical plant by applying periodic control actions often arises in, e.g., process control and medicine. When the state v…

math.DS2025

Nonlinear dynamics in pulse-modulated feedback drug dosing

Alexander Medvedev, Anton V. Proskurnikov, Zhanybai T. Zhusubaliyev

Pulse-modulated feedback is utilized in drug dosing to mimic sustained over a longer period of time manual discrete dose administration, the latter is in contrast with continuous d…

math.OC2024

Stability Properties of the Impulsive Goodwin's Oscillator in 1-cycle

Anton V. Proskurnikov, Alexander Medvedev

The Impulsive Goodwin's Oscillator (IGO) is a mathematical model of a hybrid closed-loop system. It arises by closing a special kind of continuous linear positive time-invariant sy…

math.DS2023

Impulsive feedback control for dosing applications

Alexander Medvedev, Anton Proskurnikov, Zhanybai T. Zhusubaliyev

This paper addresses a design procedure of pulse-modulated feedback control solving a dosing problem defined for implementation in a manual mode. Discrete dosing, as a control stra…

math.OC2023

Output corridor control via design of impulsive Goodwin's oscillator

Alexander Medvedev, Anton V. Proskurnikov, Zhanybai T. Zhusubaliyev

In the Impulsive Goodwin's oscillator (IGO), a continuous positive linear time-invariant (LTI) plant is controlled by an amplitude- and frequency-modulated feedback into an oscilla…