Thu, 01 Jan 2026 00:00:00 GMT

Analysis and Control of Perturbed Density Systems
Furtat, I. B., 2026, In: IEEE Transactions on Automatic Control. 71, 3, p. 2085-2092 8 p.
Research output: Contribution to journal › Article › peer-review

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.

Original language | English
Pages (from-to) | 2085-2092
Number of pages | 8
Journal | IEEE Transactions on Automatic Control
Volume | 71
Issue number | 3
DOIs | https://doi.org/10.1109/tac.2025.3621943
State | Published - 2026