Results 81 to 90 of about 6,536,345 (211)

Two-Lipschitz operator ideals

, 2020
We introduce and investigate the concept of two-Lipschitz operator ideal between pointed metric spaces and Banach spaces. We show the basics of this new theory and we give a procedure to create a two-Lipschitz operator ideal from a linear operator ideal.
KhaledHamidi, DahmaneAchour, ElhadjDahia, AbdelhamidTallab   +3 more
core  

Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo, Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic   +3 more
wiley   +1 more source

Theoretical Results on Positive Solutions in Delta Riemann–Liouville Setting

Mathematics
This article primarily focuses on examining the existence and uniqueness analysis of boundary fractional difference equations in a class of Riemann–Liouville operators.
Pshtiwan Othman Mohammed, Ravi P. Agarwal, Majeed A. Yousif, Eman Al-Sarairah, Alina Alb Lupas, Mohamed Abdelwahed   +5 more
doaj   +1 more source

Validation of Neural Network Controllers for Uncertain Systems Using the Keep‐Close Approach: Robustness Analysis and Safety Verification

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The safety verification of neural network (NN) controllers operating in uncertain environments characterized by unmodeled dynamics, nonlinearities, and time delays remains a fundamental challenge in robust control analysis. This article introduces a novel method, termed Keep‐Close, for analyzing the performance and robustness of uncertain ...
Abdelhafid Zenati, Nabil Aouf
wiley   +1 more source

Monotone Lipschitz-Gradient Denoiser: Explainability of Operator Regularization Approaches and Convergence to Optimal Point [PDF]

This paper addresses explainability of the operator-regularization approach under the use of monotone Lipschitz-gradient (MoL-Grad) denoiser -- an operator that can be expressed as the Lipschitz continuous gradient of a differentiable convex function. We
Yukawa, Masahiro, Yamada, Isao
core   +1 more source

An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions

Electronic Journal of Differential Equations, 2001
We present an elementary proof of the Harnack inequality for non-negative viscosity supersolutions of $Delta_{infty}u=0$. This was originally proven by Lindqvist and Manfredi using sequences of solutions of the $p$-Laplacian.
Tilak Bhattacharya
doaj  

An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\) [PDF]

, 2013
The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions
Ularu, Nicoleta, Breaz, Nicoleta
core   +1 more source

Observer Design for Vector Nonlinear Systems With Applications to Autonomous Vehicles and Robots

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper focuses on observer design for nonlinear systems involving functions of vector arguments. The output equations and the process dynamics are both composed of nonlinear functions of nonseparable multivariable states. The partial derivatives of the nonlinear functions are assumed to be bounded.
Gaurav Sharma, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

Iterative Algorithms for Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators

Journal of Applied Mathematics, 2015
Consider the variational inequality VI(C,F) of finding a point x*∈C satisfying the property 〈Fx*,x-x*〉≥0 for all x∈C, where C is a level set of a convex function defined on a real Hilbert space H and F:H→H is a boundedly Lipschitzian (i.e., Lipschitzian ...
Caiping Yang, Songnian He
doaj   +1 more source

Combined effects of the Hardy potential and lower order terms in fractional Laplacian equations

Boundary Value Problems, 2018
In this paper we consider the existence and regularity of solutions to the following nonlocal Dirichlet problems: {(−Δ)su−λu|x|2s+up=f(x),x∈Ω,u>0,x∈Ω,u=0,x∈RN∖Ω, $$ \textstyle\begin{cases} (-\Delta)^{s} u-\lambda\frac{u}{|x|^{2s}}+u^{p}=f(x), &x\in\Omega,
Yingyuan Mi, Shuibo Huang, Canyun Huang
doaj   +1 more source