Zobrazeno 1 - 10
of 126
pro vyhledávání: '"49J30"'
In this paper we investigate an optimal control problem involving a toy model for the protection on a crop field. Precisely, we consider a protection on a crop field and we want to place intervention zones represented by a control, in order to maximi
Externí odkaz:
http://arxiv.org/abs/2410.11733
Autor:
Leylekian, Roméo
We prove the existence of an open set minimizing the first eigenvalue of the Dirichlet polylaplacian of order $m\geq1$ under volume constraint. Moreover, the corresponding eigenfunction is shown to enjoy $C^{m-1,\alpha}$ H\"older regularity. This is
Externí odkaz:
http://arxiv.org/abs/2402.11713
Autor:
Kirby, Robert C., Shapero, Daniel
Solutions to many important partial differential equations satisfy bounds constraints, but approximations computed by finite element or finite difference methods typically fail to respect the same conditions. Chang and Nakshatrala enforce such bounds
Externí odkaz:
http://arxiv.org/abs/2311.05880
Autor:
Berger, Thomas, Dennstädt, Dario
The Model Predictive Control (MPC) scheme Funnel MPC enables output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems with stable internal dynamics. Earlier works achieved the control obj
Externí odkaz:
http://arxiv.org/abs/2308.12217
In this paper, we discuss a class of spectral partition problems with a measure constraint, for partitions of a given bounded connected open set. We establish the existence of an optimal open partition, showing that the corresponding eigenfunctions a
Externí odkaz:
http://arxiv.org/abs/2305.02870
We settle the question of how to compute the entry and leaving arcs for turnpikes in autonomous variational problems, in the one-dimensional case using the phase space of the vector field associated to the Euler equation, and the initial/final and/or
Externí odkaz:
http://arxiv.org/abs/2301.09886
Publikováno v:
Axioms 11 (2022), no. 8, Art. 379, 14 pp
We investigate a class of fractional neutral evolution equations on Banach spaces involving Caputo derivatives. Main results establish conditions for the controllability of the fractional-order system and conditions for existence of a solution to an
Externí odkaz:
http://arxiv.org/abs/2208.02363
The main goal of this paper is to show that the blow up phenomenon (the explosion of the $ \rL^{\infty }$-norm) of the solutions of several classes of evolution problems can be controlled by means of suitable global controls $\alpha (t)$ ($i.e.$ only
Externí odkaz:
http://arxiv.org/abs/2205.05153
Autor:
Berger, Thomas, Dennstädt, Dario
We study tracking control for nonlinear systems with known relative degree and stable internal dynamics by the recently introduced technique of Funnel MPC. The objective is to achieve the evolution of the tracking error within a prescribed performanc
Externí odkaz:
http://arxiv.org/abs/2203.10328
Autor:
Dennstädt, Dario
Funnel MPC, a novel Model Predictive Control (MPC) scheme, allows guaranteed output tracking of smooth reference signals with prescribed error bounds for nonlinear multi-input multi-output systems. To this end, the stage cost resembles the high-gain
Externí odkaz:
http://arxiv.org/abs/2202.12926