TY - JOUR

T1 - Analysis and Control of Perturbed Density Systems

AU - Furtat, I.B.

N1 - Export Date: 29 March 2026; Cited By: 1; Correspondence Address: I.B. Furtat; Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation; email: cainenash@mail.ru; CODEN: IETAA

PY - 2026

Y1 - 2026

N2 - In this article, we investigated dynamical systems for which the derivative of a positive-definite function along the solutions of these systems depends on a density function. In turn, such dynamical systems are called density systems. The density function influences the solutions of these systems by determining the density of the space in which systems evolve. It can also describe regions where there are no system solutions. The density function is used to design a new adaptive control law for systems with unknown parameters and disturbances, where we formulate control goals, such as stabilization within given bounded or semibounded sets. All theoretical results and conclusions are illustrated by numerical simulations and experiments, and are also compared with existing methods. © 1963-2012 IEEE.

AB - In this article, we investigated dynamical systems for which the derivative of a positive-definite function along the solutions of these systems depends on a density function. In turn, such dynamical systems are called density systems. The density function influences the solutions of these systems by determining the density of the space in which systems evolve. It can also describe regions where there are no system solutions. The density function is used to design a new adaptive control law for systems with unknown parameters and disturbances, where we formulate control goals, such as stabilization within given bounded or semibounded sets. All theoretical results and conclusions are illustrated by numerical simulations and experiments, and are also compared with existing methods. © 1963-2012 IEEE.

KW - Adaptive control

KW - control

KW - density system

KW - dynamical system

KW - instability

KW - positive-definite function

KW - stability

KW - Adaptive control systems

KW - Control system stability

KW - Control theory

KW - Adaptive Control

KW - Adaptive control law

KW - Analysis and controls

KW - Control goals

KW - Density system

KW - Positive definite function

KW - System solution

KW - Convergence of numerical methods

UR - https://www.mendeley.com/catalogue/50e03797-6652-325c-82fc-9485df411804/

U2 - 10.1109/tac.2025.3621943

DO - 10.1109/tac.2025.3621943

M3 - статья

VL - 71

SP - 2085

EP - 2092

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 3

ER -