Partial stability and control: The state-of-the-art and development prospects

VI Vorotnikov - Automation and Remote Control, 2005 - Springer
Problems in bordering fields associated with partial stability and stabilization of nonlinear
dynamic systems, including partial stability and stabilization by part of coordinates of the …

Частичная устойчивость и управление: состояние проблемы и перспективы развития

ВИ Воротников - Автоматика и телемеханика, 2005 - mathnet.ru
(X, d) d บ ธ ธ (X, d) น (Y, dy)(Z, dz) ธ X= Y ื Z ธ บ บ x∈ X x=(yT, zT) T ธ y∈ Y ธ z∈ Z บ dd (x1,
x2)==(dy (y1, y2) p+ dz (z1, z2) p) 1/p x1=(yT 1, zT 1) T ธ x2=(yT 2, zT 2) T∈ X ธ 1≤ …

Partial stabilization of nonlinear systems along a given trajectory

V Grushkovska, I Vasylieva… - 2024 European Control …, 2024 - ieeexplore.ieee.org
In this paper, the problem of partial stabilization of nonlinear systems along a given
trajectory is considered. This problem is treated within the framework of stability of a family of …

Partial stability concept in extremum seeking problems

V Grushkovskaya, A Zuyev - IFAC-PapersOnLine, 2019 - Elsevier
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 concept of …

Partial stabilization of stochastic systems with application to rotating rigid bodies

A Zuyev, I Vasylieva - IFAC-PapersOnLine, 2019 - Elsevier
This paper addresses the problem of stabilizing a part of variables for control systems
described by stochastic differential equations of the Itô type. The considered problem is …

Polynomial Convergence of an Observer for an Infinite-Dimensional Oscillating System

A Zuyev, J Kalosha - arXiv preprint arXiv:2410.00989, 2024 - arxiv.org
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 error …

Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment

J Kalosha, Y Yevgenieva, A Zuyev - arXiv preprint arXiv:2311.09691, 2023 - arxiv.org
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 is …

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

A Zuyev, J Kalosha - 2023 European Control Conference (ECC …, 2023 - ieeexplore.ieee.org
Infinite-dimensional control systems with outputs are considered in the Hamiltonian
formulation with generalized coordinates. An explicit scheme for constructing a dynamic …

Partial stabilization of nonholonomic systems with application to multi-agent coordination

V Grushkovskaya, A Zuyev - 2020 European Control …, 2020 - ieeexplore.ieee.org
This paper focuses on the problem of constructing time-varying feedback laws that
asymptotically stabilize a given part of the state variables for nonlinear control-affine …

Математична теорія керування: нелінійна динаміка та інженерні застосування: За матеріалами наукової доповіді на засіданні Президії НАН України 6 …

ОЛ Зуєв - Visnik Nacional noi academii nauk Ukrai ni, 2020 - visnyk-nanu.org.ua
Анотація У доповіді представлено новий підхід до розв'язання задачі стабілізації, що
дозволяє ефективно визначати стратегії керування для широкого класу суттєво …