Results 1 to 10 of about 30,552 (227)

Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold

open access: yes, 2018
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family.
Bastos, Jéfferson L. R.   +3 more
core   +1 more source

Semiactive Nonsmooth Control for Building Structure with Deep Learning

open access: yesComplexity, 2017
Aiming at suppressing harmful effect for building structure by surface motion, semiactive nonsmooth control algorithm with Deep Learning is proposed. By finite-time stable theory, the building structure closed-loop system’s stability is discussed under ...
Qing Wang   +3 more
doaj   +1 more source

Stochastic Block Mirror Descent Methods for Nonsmooth and Stochastic Optimization [PDF]

open access: yes, 2013
In this paper, we present a new stochastic algorithm, namely the stochastic block mirror descent (SBMD) method for solving large-scale nonsmooth and stochastic optimization problems. The basic idea of this algorithm is to incorporate the block-coordinate
Dang, Cong D., Lan, Guanghui
core  

Weak Subdifferential in Nonsmooth Analysis and Optimization

open access: yesJournal of Applied Mathematics, 2011
Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and ...
Şahlar F. Meherrem, Refet Polat
doaj   +1 more source

Non-smooth analysis method in optimal investment-BSDE approach

open access: yesAdvances in Difference Equations, 2018
In this paper, the investment process is modeled by backward stochastic differential equation. We investigate a necessary condition for optimal investment problem by the method of non-smooth analysis.
Helin Wu, Yong Ren, Feng Hu
doaj   +1 more source

Characterizations of Bounded Ricci Curvature on Smooth and NonSmooth Spaces [PDF]

open access: yes, 2015
There are two primary goals to this paper. In the first part of the paper we study smooth metric measure spaces (M^n,g,e^{-f}dv_g) and give several ways of characterizing bounds -Kg\leq \Ric+\nabla^2f\leq Kg on the Ricci curvature of the manifold.
Naber, Aaron
core  

Error estimates for a semidiscrete finite element method for fractional order parabolic equations

open access: yes, 2012
We consider the initial boundary value problem for the homogeneous time-fractional diffusion equation $\partial^\alpha_t u - \De u =0$ ($0< \alpha < 1$) with initial condition $u(x,0)=v(x)$ and a homogeneous Dirichlet boundary condition in a bounded ...
Jin, Bangti, Lazarov, Raytcho, Zhou, Zhi
core   +2 more sources

A Study of a Nonsmooth Fuzzy Active Disturbance Rejection Control Algorithm for Gas Turbines in Maritime Autonomous Surface Ship

open access: yesJournal of Marine Science and Engineering
To address the dynamic and robust performance limitations of gas turbines in maritime autonomous surface ship applications, this paper proposes a novel nonsmooth fuzzy active disturbance rejection control (NS_FADRC) algorithm.
Rui Yang   +4 more
doaj   +1 more source

Derivatives of orbital function and an extension of Berezin-Gel’fand’s theorem

open access: yesSpecial Matrices, 2016
A generalization of a result of Berezin and Gel’fand in the context of Eaton triples is given. The generalization and its proof are Lie-theoretic free and requires some basic knowledge of nonsmooth analysis.
Tam Tin-Yau, Hill William C.
doaj   +1 more source

Nonconvex Nonsmooth Low-Rank Minimization via Iteratively Reweighted Nuclear Norm

open access: yes, 2015
The nuclear norm is widely used as a convex surrogate of the rank function in compressive sensing for low rank matrix recovery with its applications in image recovery and signal processing.
Lin, Zhouchen   +3 more
core   +1 more source

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