Results 1 to 10 of about 30,360 (174)

Singular integral operators in the case of a piecewise Lyapunov contour

open access: hybridActa et commentationes: Ştiinţe Exacte şi ale Naturii, 2022
The article attempts to present the results obtained by the author in recent years (in a number of cases with some additions) on the theory of singular integral equations and Riemann boundary value problems in the case of a piecewise Lyapunov contour.
Vasile Neagu
semanticscholar   +5 more sources

Criterion of Uniform Invertibility of Regular Approximations of One-Dimensional Singular Integral Operators on a Piecewise-Lyapunov Contour

open access: bronzeВладикавказский математический журнал, 2019
Работа продолжает исследования в области критериев применимости к полным сингулярным интегральным операторам приближенных методов по семействам сильно аппроксимирующих их операторов с "вырезанной" особенностью ядра Коши. Рассматривается случай полного сингулярного интегрального оператора с непрерывными коэффициентами, действующего в $L\sb{p ...
А.В. Абрамян, V. S. Pilidi
semanticscholar   +3 more sources

On the symbol of singular operators in the case of contour with corner points

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii
This paper proposes a method for constructing a symbol for singular integral operators in the case of a piecewise Lyapunov contour. The definition of the symbol function involves numbers that characterize the space in which the research is being carried
Vasile Neagu, Petru Moloșnic
doaj   +2 more sources

Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems [PDF]

open access: yesarXiv, 2020
We propose a class of locally Lipschitz functions with piecewise structure for use as Lyapunov functions for hybrid dynamical systems. Subject to some regularity of the dynamics, we show that Lyapunov inequalities can be checked only on a dense set and thus we avoid checking them at points of nondifferentiability of the Lyapunov function.
M. Della Rossa   +3 more
arxiv   +2 more sources

A GCM Neural Network with Piecewise Logistic Chaotic Map

open access: yesSymmetry, 2022
In order to explore dynamic mechanisms and chaos control of globally coupled map (GCM) chaotic neural networks, a new GCM model, called the PL-GCM model is proposed, of which a piecewise logistic chaotic map is used instead of a logistic map. As a result
Nuo Jia, Tao Wang
semanticscholar   +1 more source

Asymptotic Stability of Piecewise Affine Systems With Filippov Solutions via Discontinuous Piecewise Lyapunov Functions

open access: yesIEEE Transactions on Automatic Control, 2021
Asymptotic stability of continuous-time piecewise affine systems defined over a polyhedral partition of the state space, with possible discontinuous vector field on the boundaries, is considered. In this article, the feasible Filippov solution concept is
R. Iervolino, Stephan Trenn, F. Vasca
semanticscholar   +1 more source

Algebraic Smooth Occluding Contours [PDF]

open access: yes, 2023
Computing occluding contours is a key building block of non-photorealistic rendering, but producing contours with consistent visibility has been notoriously challenging. This paper describes the first general-purpose smooth surface construction for which the occluding contours can be computed in closed form. For a given input mesh and camera viewpoint,
arxiv   +1 more source

Indirect Adaptive Control of Piecewise Affine Systems Without Common Lyapunov Functions

open access: yesIEEE Control Systems Letters, 2022
In this letter, we propose a novel indirect model reference adaptive control approach for uncertain piecewise affine systems. This approach exploits a barrier Lyapunov function to construct novel adaptation laws and average dwell time constraints for ...
Tong Liu, Fangzhou Liu, M. Buss
semanticscholar   +1 more source

Counting the Lyapunov inflections in piecewise linear systems [PDF]

open access: yes, 2020
Following the pioneering work of Iommi-Kiwi and Jenkinson-Pollicott-Vytnova, we continue to study the inflection points of the Lyapunov spectrum in this work. We prove that for any 3-branch piecewise linear expanding map on an interval, the number of its Lyapunov inflections is bounded above by 2.
arxiv   +1 more source

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