Results 101 to 110 of about 19,135,649 (331)
Abstract This article addresses the cooperative output consensus tracking problem for high‐order heterogeneous multi‐agent systems via a distributed proportional‐integral‐derivative (PID)‐like control strategy and proposes two novel control methodologies for the tuning of the control gains, which do not require any assumption and/or limitation on agent
Dario Giuseppe Lui+2 more
wiley +1 more source
Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen+3 more
wiley +1 more source
On the fundamental eigenvalue ratio of the p-Laplacian [PDF]
It is shown that the fundamental eigenvalue ratio \lambda_2 / \lambda_1 of the p-Laplacian is bounded by a quantity depending only on the dimension N and p.
arxiv
Eigenvalue problems with p-Laplacian operators
In this article, we study eigenvalue problems with the p-Laplacian operator: $$ -(|y'|^{p-2}y')'= (p-1)(\lambda\rho(x)-q(x))|y|^{p-2}y \quad \text{on } (0,\pi_{p}), $$ where p>1 and $\pi_{p}\equiv 2\pi/(p\sin(\pi/p))$.
Yan-Hsiou Cheng
doaj
Abstract This paper focuses on the issue of adaptive event‐triggered containment control for Markov jump multi‐agent systems characterized by hidden Markov jump parameters. The central objective is to design an output‐feedback controller for the Markov jump multi‐agent system by using an adaptive event‐triggered technique that not only ensures the ...
Parivallal Arumugam+3 more
wiley +1 more source
Selfsimilar Equivalence of Porous Medium and p-Laplacian Flows [PDF]
We demonstrate the equivalence between the two popular models of nonlinear diffusion, the porous medium equation and the p-Laplacian equation. The equivalence is shown at the level of selfsimilar solutions.
arxiv
Asymmetric critical fractional p-Laplacian problems
We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
doaj
Uniqueness and stability of solutions without the boundary condition
A parabolic equation related to the p-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary cannot be defined, in general.
Huashui Zhan
doaj +1 more source
CrysToGraph: A Comprehensive Predictive Model for Crystal Material Properties and the Benchmark
We propose CrysToGraph (Crystals with Transformers on Graph), a transformer‐based geometric graph network, to explicitly capture both short‐range and long‐range interactions in crystals, and UnconvBench, a benchmark to evaluate models' predictive performance on multiple categories of materials. This work enhances the development of crystal materials in
Hongyi Wang+9 more
wiley +1 more source
In this paper, we focus on the convergence analysis and error estimation for the unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity.
Jing Wu+4 more
semanticscholar +1 more source