Results 11 to 20 of about 2,681,020 (311)

All, most, some differentiable dynamical systems [PDF]

open access: green, 2007
In the first part of this paper we study dynamical systems from the point of view of algebraic topology. What features of all dynamical systems are reflected by their actions on the homology of the phase space? In the second part we study recent progress
Michael Shub
openalex   +2 more sources

Dynamic Gains Differentiator for Hydraulic System Control [PDF]

open access: greenJournal of Dynamic Systems, Measurement, and Control, 2014
This paper deals with online numerical differentiation of a noisy time signal where new higher order sliding mode differentiators are proposed. The key point of these algorithms is to include a dynamic on the differentiator parameters. These dynamics tune-up automatically the algorithm gains in real-time.
Lilia Sidhom   +4 more
openalex   +5 more sources

Ergodic Theory of Differentiable Dynamical Systems [PDF]

open access: yes, 1995
These notes are about the dynamics of systems with hyperbolic properties. The setting for the first half consists of a pair (f, µ), where f is a diffeomorphism of a Riemannian manifold and µ is an f-invariant Borel probability measure. After a brief review of abstract ergodic theory, Lyapunov exponents are introduced, and families of stable and ...
L. Young
openaire   +3 more sources

Sablas: Learning Safe Control for Black-Box Dynamical Systems [PDF]

open access: yesIEEE Robotics and Automation Letters, 2022
Control certificates based on barrier functions have been a powerful tool to generate probably safe control policies for dynamical systems. However, existing methods based on barrier certificates are normally for white-box systems with differentiable ...
Zengyi Qin, Dawei Sun, Chuchu Fan
semanticscholar   +1 more source

Sampled-Data Consensus for Networked Euler-Lagrange Systems With Differentiable Scaling Functions

open access: yesIEEE Access, 2021
This paper is concerned with the sampled-data consensus of networked Euler-Lagrange systems. The Euler-Lagrange system has enormous advantages in analyzing and designing dynamical systems.
Yilin Wang   +3 more
doaj   +1 more source

Differentiability of the Largest Lyapunov Exponent for Non-Planar Open Billiards

open access: yesMathematics, 2023
This paper investigates the behaviour of open billiard systems in high-dimensional spaces. Specifically, we estimate the largest Lyapunov exponent, which quantifies the rate of divergence between nearby trajectories in a dynamical system.
Amal Al Dowais
doaj   +1 more source

A Mean-Field Game Control for Large-Scale Swarm Formation Flight in Dense Environments

open access: yesSensors, 2022
As an important part of cyberphysical systems (CPSs), multiple aerial drone systems are widely used in various scenarios, and research scenarios are becoming increasingly complex.
Guofang Wang   +3 more
doaj   +1 more source

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