Results 61 to 70 of about 30,552 (227)

Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments

Journal of Field Robotics, EarlyView.
ABSTRACT Tunnel‐like environments, renowned for their vast scale, confined spaces, and limited visibility, present significant challenges for autonomous robot navigation. This study addresses the critical issue of guiding robots through such environments while ensuring collision‐free navigation and maintaining a specified safety margin from both tunnel
Bao Jianjun, Licheng Feng, Yueqi Wang, Kai Zhao, Binghao Li, Liao Wu   +5 more
wiley   +1 more source

Existence and concentration of solutions for a fractional Schrödinger–Poisson system with discontinuous nonlinearity

Advanced Nonlinear Studies
In this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity:ε2s(−Δ)su+V(x)u+ϕu=H(u−β)f(u),inR3,ε2s(−Δ)sϕ=u2,inR3,u>0,inR3, $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\
Mu Changyang, Yang Zhipeng, Zhang Wei
doaj   +1 more source

Linearized ADMM for Nonconvex Nonsmooth Optimization With Convergence Analysis

IEEE Access, 2019
Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine learning, communications, and many other fields.
Qinghua Liu, Xinyue Shen, Yuantao Gu
doaj   +1 more source

Nonsmooth Morse-Sard theorems

, 2017
We prove that every function $f:\mathbb{R}^n\to \mathbb{R}$ satisfies that the image of the set of critical points at which the function $f$ has Taylor expansions of order $n-1$ and non-empty subdifferentials of order $n$ is a Lebesgue-null set.
Azagra, Daniel, Ferrera, Juan, Gomez-Gil, Javier   +2 more
core   +1 more source

A novel dual‐decomposition method for non‐convex two‐stage stochastic mixed‐integer quadratically constrained quadratic problems

International Transactions in Operational Research, EarlyView.
Abstract We propose the novel p‐branch‐and‐bound method for solving two‐stage stochastic programming problems whose deterministic equivalents are represented by non‐convex mixed‐integer quadratically constrained quadratic programming (MIQCQP) models. The precision of the solution generated by the p‐branch‐and‐bound method can be arbitrarily adjusted by
Nikita Belyak, Fabricio Oliveira
wiley   +1 more source

A Unified Analysis on the Subgradient Upper Bounds for the Subgradient Methods Minimizing Composite Nonconvex, Nonsmooth and Non-Lipschitz Functions [PDF]

, 2023
Daoli Zhu, Lei Zhao, Shuzhong Zhang
openalex   +1 more source

Macroscopic Market Making Games

Mathematical Finance, EarlyView.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

Systems of differential inclusions with competing operators and variable exponents [PDF]

Opuscula Mathematica
In this paper, we study a system of differential inclusions with Dirichlet boundary condition, involving competing operators and variable exponents. More precisely, we investigate the existence of both generalized solutions and weak solutions to the ...
Francesca Vetro, Rakib Efendiev
doaj   +1 more source

A Differentiable Formulation of a Set‐Valued Force Law Approximating Planar Coulomb Friction and Its use in Optimal Control

PAMM, Volume 26, Issue 1, March 2026.
ABSTRACT In this paper, we present a regularization of the set‐valued Coulomb friction law based on a regularized projection. The regularized projection is used to formulate differentiable equations encoding a set‐valued friction law that can be used in typical optimal control frameworks.
Giuseppe Capobianco, Sigrid Leyendecker
wiley   +1 more source

Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance

Electronic Journal of Differential Equations, 2019
In this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove
Silvia Frassu, Eugenio M. Rocha, Vasile Staicu   +2 more
doaj