Results 101 to 110 of about 2,723,896 (281)

Classification of Lipschitz Derivatives in Terms of Semicontinuity and the Baire Limit Functions

Annales Mathematicae Silesianae
We introduce the generalized notion of semicontinuity of a function defined on a topological space and derive the useful classification of the so-called Lipschitz derivatives of functions defined on a metric space.
Maslyuchenko Oleksandr V., Wójcicki Ziemowit M.   +1 more
doaj   +1 more source

Linearization of holomorphic Lipschitz functions [PDF]

Let X and Y complex Banach spaces with denoting the open unit ball of . This paper studies various aspects of the holomorphic Lipschitz space , endowed with the Lipschitz norm.
Dimant, Verónica, Aron, Richard, García-Lirola, Luis C., Maestre, Manuel, García Lirola, Luis C., Dimant, Veronica Isabel   +5 more
core   +1 more source

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
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

Two applications of the Theory of Currents [PDF]

, 2013
In the first part of the thesis we find an adapted version of the Rademacher theorem of differentiability of Lipschitz functions, when the Lebesgue measure on the euclidean space is replaced by a generical Radon measure.
MARCHESE, ANDREA
core  

Fault‐Tolerant Fuzzy Boundary Control for Nonlinear Distributed Parameter Systems Under Limited Measurements and Markovian Failures

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li, Kaibo Shi, Yue Yu, Xiangkun Wang, Ming Zhu, Xiao Cai   +5 more
wiley   +1 more source

A Competitive Model via kWTA Network for Multi‐Agent Systems Considering Noise and Communication Disturbances

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT The k $k$‐winners‐take‐all (k $k$WTA) problem, as a competitive selection strategy, is crucial in multi‐agent systems. However, existing noise‐robust k $k$WTA networks mainly address noise while overlooking communication disturbances. The coexistence of both factors significantly degrades solution accuracy and hinders distributed consensus ...
Jiexing Li, Shuai Li
wiley   +1 more source

Bursting Oscillation Characteristics and Improved AHODFC for DFIG and PMSG Combined Wind Farm

Energy Internet, EarlyView.
ABSTRACT Bursting oscillations occur in DFIG and PMSG combined wind farm under external disturbances and lead to the instability problems. To reveal the bursting oscillation characteristics and develop a suppression method, a fast‐slow dynamics analysis method and an improved adaptive high‐order differential feedback controller (AHODFC) based on ...
Kun Wang, Wei Chen, Jiangtao Li, Zhanhong Wei   +3 more
wiley   +1 more source

SDFs from Unoriented Point Clouds using Neural Variational Heat Distances

Computer Graphics Forum, EarlyView.
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier, Florine Hartwig, Josua Sassen, Sergio Conti, Mirela Ben‐Chen, Martin Rumpf   +5 more
wiley   +1 more source

Lipschitz Classification of definable Surface Singularities 

, 2019
We consider the problem of Lipschitz classification of singularities of Real Surfaces definable in a polynomially bounded o-minimal structure (e.g., semialgebraic or subanalytic) with respect to the outer metric.
Gabrielov, Andrei
core   +1 more source

Medial Axis Aware Learning of Signed Distance Functions

Computer Graphics Forum, EarlyView.
Abstract We propose a novel variational method to compute a highly accurate global signed distance function (SDF) to a given point cloud. To this end, the jump set of the gradient of the SDF, which coincides with the medial axis of the surface, is explicitly taken into account through a higher‐order variational formulation that enforces linear growth ...
Samuel Weidemaier, Christoph Norden‐Smoch, Martin Rumpf   +2 more
wiley   +1 more source