Zobrazeno 1 - 10
of 54
pro vyhledávání: '"93D23"'
In this manuscript, we study the stability of the origin for the multivariate geometric Brownian motion. More precisely, under suitable sufficient conditions, we construct a Lyapunov function such that the origin of the multivariate geometric Brownia
Externí odkaz:
http://arxiv.org/abs/2403.16765
For linear-quadratic optimal control problems (OCPs) governed by elliptic and parabolic partial differential equations (PDEs), we investigate the impact of perturbations on optimal solutions. Local perturbations may occur, e.g., due to discretization
Externí odkaz:
http://arxiv.org/abs/2403.15056
Autor:
Gallego, F. A., Muñoz, J. R.
In this paper, we delve into the intricacies of boundary stabilization for the Linearized KP-II Equation within the constraints of a bounded domain. Our primary aim is to engineer a parameterized set of feedback laws that not only lead to the existen
Externí odkaz:
http://arxiv.org/abs/2312.02294
Autor:
Djurdjevac, Ana, Shirikyan, Armen
The paper deals with the problem of stability for the flow of the 1D Burgers equation on a circle. Using some ideas from the theory of positivity preserving semigroups, we establish the strong contraction in the $L^1$ norm. As a consequence, it is pr
Externí odkaz:
http://arxiv.org/abs/2311.12008
Autor:
Duvall, Alon, Sontag, Eduardo
It is often of interest to know which systems will approach a periodic trajectory when given a periodic input. Results are available for certain classes of systems, such as contracting systems, showing that they always entrain to periodic inputs. In
Externí odkaz:
http://arxiv.org/abs/2310.03241
It is an outstanding problem whether a pipe-flow system on a star-shaped network is stabilisable by a feedback control on the common vertex. In the present paper we deal with this problem. In particular, we study the equation governing the small vibr
Externí odkaz:
http://arxiv.org/abs/2309.09722
We introduce a finite dimensional version of backstepping controller design for stabilizing solutions of PDEs from boundary. Our controller uses only a finite number of Fourier modes of the state of solution, as opposed to the classical backstepping
Externí odkaz:
http://arxiv.org/abs/2309.02196
Publikováno v:
Journal of Dynamics and Differential Equations 2023
In this paper, we characterize the stability region for trinomials of the form $f(\zeta):=a\zeta ^n + b\zeta ^m +c$, $\zeta\in \mathbb{C}$, where $a$, $b$ and $c$ are non-zero complex numbers and $n,m\in \mathbb{N}$ with $n>m$. More precisely, we pro
Externí odkaz:
http://arxiv.org/abs/2304.09147
We consider differential operators $A$ that can be represented by means of a so-called closure relation in terms of a simpler operator $A_{\operatorname{ext}}$ defined on a larger space. We analyze how the spectral properties of $A$ and $A_{\operator
Externí odkaz:
http://arxiv.org/abs/2212.12025
Autor:
Fragnelli, Genni, Mugnai, Dimitri
We consider a degenerate wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary damping at the
Externí odkaz:
http://arxiv.org/abs/2212.05264