Results 1 to 10 of about 1,017,916 (295)
On differentially dissipative dynamical systems [PDF]
9th IFAC Symposium on Nonlinear Control Systems, 2013, 2013 Dissipativity is an essential concept of systems theory. The paper provides an extension of dissipativity, named differential dissipativity, by lifting storage functions and supply rates to the tangent bundle. Differential dissipativity is connected to incremental stability in the same way as dissipativity is connected to stability.
Forni, F, Sepulchre, R
arxiv +5 more sources
Landau: A Language for Dynamical Systems with Automatic Differentiation [PDF]
Journal of Mathematical Sciences, 2020 Most numerical solvers used to determine free variables of dynamical systems rely on first-order derivatives of the state of the system w.r.t. the free variables. The number of the free variables can be fairly large. One of the approaches of obtaining those derivatives is the integration of the derivatives simultaneously with the dynamical equations ...
Ivan Dolgakov, Dmitry Pavlov
openalex +5 more sources
DIFFERENTIABLE DYNAMICAL SYSTEMS [PDF]
Bulletin of the American Mathematical Society, 2010 This is a survey article on the area of global analysis defined by differentiable dynamical systems or equivalently the action (differentiable) of a Lie group G on a manifold M. An action is a homomorphism G→Diff(M) such that the induced map G×M→M is differentiable.
S. SMALE
openalex +5 more sources
On Differentiation and Homeostatic Behaviours of Boolean Dynamical Systems [PDF]
, 2007 International ...
Élisabeth Rémy, Paul Ruet
openalex +4 more sources
Homomorphisms of differentiable dynamical systems [PDF]
Kyoto Journal of Mathematics, 1974 Toshio Niwa
openalex +4 more sources
Dynamic Gains Differentiator for Hydraulic System Control [PDF]
Journal 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 +6 more sources
Automatic Differentiation Applied for Optimization of Dynamical Systems [PDF]
IEEE Transactions on Magnetics, 2010 International ...
Petre Enciu +2 more
openalex +5 more sources
Automatic Differentiation for Optimization of Dynamical Systems [PDF]
, 2010 International ...
Petre Enciu +2 more
openalex +3 more sources
Sampled-Data Consensus for Networked Euler-Lagrange Systems With Differentiable Scaling Functions
IEEE 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
Mathematics, 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