Results 81 to 90 of about 61,934 (233)

Well-posedness and sliding mode control [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2005
Summary: Sliding mode control of ordinary differential equations is considered. A key robustness property, called approximability, is studied from an optimization point of view. It is proved that Tikhonov well-posedness of a suitably defined optimization problem is intimately related to approximability.
openaire   +3 more sources

Real‐Time Optimal Control of High‐Dimensional Parametrized Systems by Deep Learning‐Based Reduced Order Models

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT Steering a system towards a desired target in a very short amount of time is a challenging task from a computational standpoint. Indeed, the intrinsically iterative nature of optimal control problems requires multiple simulations of the state of the physical system to be controlled. Moreover, the control action needs to be updated whenever the
Matteo Tomasetto, Andrea Manzoni, Francesco Braghin   +2 more
wiley   +1 more source

A well-posedness result for an extended KdV equation

Partial Differential Equations in Applied Mathematics
Among the most interesting things Russell discovered was there is a mathematical relation between the height of the wave, the depth of the wave when water at rest and the speed at which the wave travels.
M. Berjawi, T. El Arwadi, S. Israwi
doaj   +1 more source

Well-posedness of KdV type equations

Electronic Journal of Differential Equations, 2012
In this work, we study the initial value problems associated to some linear perturbations of KdV equations. Our focus is in the well-posedness issues for initial data given in the L^2-based Sobolev spaces.
Xavier Carvajal, Mahendra Panthee
doaj  

Well-posedness and scalarization in vector optimization [PDF]

In this paper we study several existing notions of well-posedness for vector optimization problems. We distinguish them into two classes and we establish the hierarchical structure of their relationships.
Miglierina Enrico, Molho Elena, Rocca Matteo   +2 more
core  

Metric Characterizations of α-Well-Posedness for a System of Mixed Quasivariational-Like Inequalities in Banach Spaces

Journal of Applied Mathematics, 2012
The purpose of this paper is to investigate the problems of the well-posedness for a system of mixed quasivariational-like inequalities in Banach spaces.
L. C. Ceng, Y. C. Lin
doaj   +1 more source

Global well-posedness for the Maxwell–Klein–Gordon equation in 4+1 dimensions: Small energy [PDF]

, 2015
Joachim Krieger, Jacob Sterbenz, Daniel Tataru   +2 more
openalex   +1 more source

Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity

, 2023
Antonio Agresti, Mark Veraar
openalex   +1 more source

The Bayesian formulation and well-posedness of fractional elliptic inverse problems [PDF]

, 2017
Nicolás García Trillos, Daniel Sanz-Alonso   +1 more
openalex   +1 more source

Well-posedness of the microwave heating problem

Discrete and Continuous Models and Applied Computational Science
A number of initial boundary-value problems of classical mathematical physics is generally represented in the linear operator equation and its well-posedness and causality in a Hilbert space setting was established. If a problem has a unique solution and
Baljinnyam Tsangia
doaj   +1 more source