Results 21 to 30 of about 30,326 (205)
Applied Sciences, 2020 This study classified chaotic time series data, including smooth and nonsmooth problems in a dynamic system, using a convolutional neural network (CNN) and verified it through the Lyapunov exponent. For this, the classical nonlinear differential equation
Jaehyeon Nam, Jaeyoung Kang
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Analysis of the implicit Euler time-discretization of passive linear descriptor complementarity systems [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 This article is largely concerned with the time-discretization of descriptor-variable systems coupled to with complementarity constraints. They are named descriptor-variable linear complementarity systems (DVLCS).
Bernard Brogliato, Alexandre Rocca
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Nonstandard tools of nonsmooth analysis [PDF]
Journal of Applied and Industrial Mathematics, 2012 This is an overview of the basic tools of nonsmooth analysis which are grounded on nonstandard models of set theory. By way of illustration we give a criterion for an infinitesimally optimal path of a general discrete dynamic system.
openaire +3 more sources
Nonsmooth active control method for base-smart isolated structures with roller bearings
工程科学学报, 2019 In applied structural control technology, base-isolated technology has become popular due to its advantage of simple shock absorption, stable performance, and reasonable cost.
LIU Yan-hui +3 more
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IEEE Access, 2020 This paper presents a new concept for finding saddle-node bifurcation (SNB) points in voltage stability analysis of power systems by applying the extended functional method (EFM).
Pablo Daniel Paz Salazar +4 more
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Exact Nonlinear Spectral Analysis of Nonsmooth WENO-JS Solutions
Journal of Applied Mathematics, 2023 The fifth-order accurate Weighted Essentially Nonoscillatory space discretization developed by Jiang and Shu (WENO-JS) is studied theoretically. An exact Nonlinear Spectral Method (NSM) is developed based on an innovative yet simple methodology.
Tamer H. M. A. Kasem
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Minimal angle spread in the probability simplex with respect to the uniform distribution [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 We compute the minimal angle spread with respect to the uniform distribution in the probability simplex. The resulting optimization problem is analytically solved.
Heinz H. Bauschke +1 more
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Optimizing condition numbers [PDF]
, 2009 In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function.
Jane J. Ye, Lewis A.S., Pierre Maréchal
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Heliyon, 2023 In this study, we examine the Generalized Equations' subregularity in Asplund spaces utilizing a novel approach. We obtain sufficient conditions for a family of multifunctions to be metrically subregular which are stronger than the known sufficient ...
Matthieu Maréchal
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Generalized Nonconvex Nonsmooth Low-Rank Minimization [PDF]
, 2014 As surrogate functions of $L_0$-norm, many nonconvex penalty functions have been proposed to enhance the sparse vector recovery. It is easy to extend these nonconvex penalty functions on singular values of a matrix to enhance low-rank matrix recovery ...
Lin, Zhouchen +3 more
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