A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras [PDF]
Victor Guillemin
openalex +1 more source
Data‐Driven Stabilization of Linear Discrete‐Time Delay Systems With Noisy Data
ABSTRACT This paper is concerned with the stabilization of linear discrete‐time delay systems with unknown system matrices. The objective is to design stabilizing controllers using input and state measurements collected from experiments, which are affected by process disturbances.
Xian‐Ming Zhang +3 more
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
A family of simple groups associated with the simple lie algebra of type (𝐹₄) [PDF]
Rimhak Ree
openalex +1 more source
The role of identification in data‐driven policy iteration: A system theoretic study
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley +1 more source
Compacting the Time Evolution of the Forced Morse Oscillator Using Dynamical Symmetries Derived by an Algebraic Wei-Norman Approach. [PDF]
Hamilton JR, Remacle F, Levine RD.
europepmc +1 more source
The formal linearization of a semisimple Lie algebra of vector fields about a singular point [PDF]
Róbert Hermann
openalex +1 more source
Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley +1 more source

