Zobrazeno 1 - 10
of 226
pro vyhledávání: '"Noll, Dominikus"'
Autor:
Noll, Dominikus
We discuss topological versions of the closed graph theorem, where continuity is inferred from near continuity in tandem with suitable conditions on source or target spaces. We seek internal characterizations of spaces satisfying a closed graph theor
Externí odkaz:
http://arxiv.org/abs/2403.03904
Autor:
Apkarian, Pierre, Noll, Dominikus
We consider norms which assess transient behavior of stable LTI systems. Minimizing such a norm in closed loop may enhance stability and performance of a nonlinear system by mitigating transients and enlarging its region of attraction around a locall
Externí odkaz:
http://arxiv.org/abs/2309.04718
Autor:
Apkarian, Pierre, Noll, Dominikus
We discuss strategies to bring $H_\infty$-control techniques into play when the system dynamics are modeled by hyperbolic partial differential equations, or more generally, by systems with non-sectorial pole pattern.
Comment: 25 pages, 18 figure
Comment: 25 pages, 18 figure
Externí odkaz:
http://arxiv.org/abs/2211.08083
Autor:
Noll, Dominikus
Publikováno v:
Topology and its Applications 2022
We discuss a variant of the Banach-Mazur game which has applications to topological open mapping and closed graph theorems.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/2211.00432
Autor:
Apkarian, Pierre, Noll, Dominikus
We consider stabilization and performance optimization of non-linear controlled systems, where the non-linearity satisfies a sector constraint asymptotically. This leads to optimization of the closed loop peak-to-peak system norm subject to $H_\infty
Externí odkaz:
http://arxiv.org/abs/2201.01059
Autor:
Noll, Dominikus
Publikováno v:
Set-Valued and Variational Analysis 2021
We consider convergence of alternating projections between non-convex sets and obtain applications to convergence of the Gerchberg-Saxton error reduction method, of the Gaussian expectation-maximization algorithm, and of Cadzow's algorithm.
Externí odkaz:
http://arxiv.org/abs/2104.02161
Autor:
Apkarian, Pierre, Noll, Dominikus
We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_\infty$-output feedback controllers which stabilize the infinite dimensional system exponentially in closed l
Externí odkaz:
http://arxiv.org/abs/2002.07567
Autor:
Noll, Dominikus
Publikováno v:
Journal of Pure and Applied Functional Analysis, 2019
We prove global convergence of a bundle trust region algorithm for non-smooth non-convex optimization, where cutting planes are generated by oracles respecting four basic rules. The benefit is that convergence theory applies to a large variety of met
Externí odkaz:
http://arxiv.org/abs/1905.06797
Autor:
Apkarian, Pierre, Noll, Dominikus
We present a frequency domain based $H_\infty$-control strategy to solve boundary control problems for systems governed by parabolic or hyperbolic partial differential equation, where controllers are constrained to be physically implementable and of
Externí odkaz:
http://arxiv.org/abs/1905.06786
Publikováno v:
Journal of Global Optimization, 65(2):329--349, 2016
The Douglas-Rachford algorithm is a classical and very successful method for solving optimization and feasibility problems. In this paper, we provide novel conditions sufficient for finite convergence in the context of convex feasibility problems. Ou
Externí odkaz:
http://arxiv.org/abs/1504.06969