Concept
Dynamical system
Related publications (886)
Stability: a search for structure
In this thesis we study stability from several viewpoints. After covering the practical importance, the rich history and the ever-growing list of manifestations of stability, we study the following. (i) (Statistical identification of stable dynamical syste ...
EPFL2024Reactive collision-free motion generation in joint space via dynamical systems and sampling-based MPC
Aude Billard, Mikhail Koptev, Nadia Barbara Figueroa Fernandez
Dynamical system (DS) based motion planning offers collision-free motion, with closed-loop reactivity thanks to their analytical expression. It ensures that obstacles are not penetrated by reshaping a nominal DS through matrix modulation, which is construc ...
Sage Publications Ltd2024Dynamical system approach to navigation around obstacles
In this article, we propose a dynamical system to avoid obstacles which are star shaped and simultaneously converge to a goal. The convergence is almost-global in a domain and the stationary points are identified explicitly. Our approach is based on the id ...
2024Structure and dynamics of liquid water from ab initio simulations: adding Minnesota density functionals to Jacob's ladder
Ursula Röthlisberger, Justin Villard, Martin Peter Bircher
The accurate representation of the structural and dynamical properties of water is essential for simulating the unique behavior of this ubiquitous solvent. Here we assess the current status of describing liquid water using ab initio molecular dynamics, wit ...
Cambridge2024Searching for the Thinnest Metallic Wire
One-dimensional materials have gained much attention in the last decades: from carbon nanotubes to ultrathin nanowires to few-atom atomic chains, these can all display unique electronic properties and great potential for next-generation applications. Exfol ...
Amer Chemical Soc2024Geometric Learning: Leveraging differential geometry for learning and control
In this thesis, we concentrate on advancing high-level behavioral control policies for robotic systems within the framework of Dynamical Systems (DS). Throughout the course of this research, a unifying thread weaving through diverse fields emerges, and tha ...
EPFL2024Additive and geometric transversality of fractal sets in the integers
By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases. In this work, we in ...
2024Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks
Alfio Quarteroni, Francesco Regazzoni, Stefano Pagani
Predicting the evolution of systems with spatio-temporal dynamics in response to external stimuli is essential for scientific progress. Traditional equations-based approaches leverage first principles through the numerical approximation of differential equ ...
Nature Portfolio2024The Strong Integral Input-to-State Stability Property in Dynamical Flow Networks
Dynamical flow networks serve as macroscopic models for, e.g., transportation networks, queuing networks, and distribution networks. While the flow dynamics in such networks follow the conservation of mass on the links, the outflow from each link is often ...
Piscataway2024Quantifying the Unknown: Data-Driven Approaches and Applications in Energy Systems
In light of the challenges posed by climate change and the goals of the Paris Agreement, electricity generation is shifting to a more renewable and decentralized pattern, while the operation of systems like buildings is increasingly electrified. This calls ...
EPFL2024