Zobrazeno 1 - 10
of 2 419
pro vyhledávání: '"Kvalheim A"'
Autor:
Kvalheim, Matthew D.
The author's extensions of Brockett's and Coron's necessary conditions for stabilizability are shown to be independent in the fiber bundle picture of control, but the latter is shown to be stronger in the vector bundle picture if the state space is o
Externí odkaz:
http://arxiv.org/abs/2312.16752
Deep neural network autoencoders are routinely used computationally for model reduction. They allow recognizing the intrinsic dimension of data that lie in a $k$-dimensional subset $K$ of an input Euclidean space $\mathbb{R}^n$. The underlying idea i
Externí odkaz:
http://arxiv.org/abs/2310.02250
Autor:
Arathoon, Philip, Kvalheim, Matthew D.
A frequently repeated claim in the "applied Koopman operator theory'' literature is that a dynamical system with multiple isolated equilibria cannot be linearized in the sense of admitting a smooth embedding as an invariant submanifold of a linear dy
Externí odkaz:
http://arxiv.org/abs/2306.15126
Autor:
Kvalheim, Matthew D., Arathoon, Philip
We consider the problem of determining the class of continuous-time dynamical systems that can be globally linearized in the sense of admitting an embedding into a linear system on a finite-dimensional Euclidean space. We solve this problem for dynam
Externí odkaz:
http://arxiv.org/abs/2305.18288
In this work, we give sufficient conditions for the almost global asymptotic stability of a cascade in which the subsystems are only almost globally asymptotically stable. The result is extended to upper triangular systems of arbitrary size. In parti
Externí odkaz:
http://arxiv.org/abs/2303.15535
Mechanical systems naturally evolve on principal bundles describing their inherent symmetries. The ensuing factorization of the configuration manifold into a symmetry group and an internal shape space has provided deep insights into the locomotion of
Externí odkaz:
http://arxiv.org/abs/2209.11869
Autor:
Pogliano, Francesco, Larsen, Ann-Cecilie, Garrote, Frank Leonel Bello, Bjørøen, Marianne Møller, Eriksen, Tomas Kvalheim, Gjestvang, Dorthea, Görgen, Andreas, Guttormsen, Magne, Li, Kevin Ching Wei, Markova, Maria, Matthews, Eric Francis, Paulsen, Wanja, Pedersen, Line Gaard, Siem, Sunniva, Storebakken, Tellef, Tornyi, Tamas Gabor, Vevik, Julian Ersland
Publikováno v:
Phys. Rev. C 106, 015804, Published 25 July 2022
Nuclei in the $^{135}$I region have been identified as being a possible bottleneck for the \textit{i} process. Here we present an indirect measurement for the Maxwellian-averaged cross section of $^{126}\text{Sb}(n,\gamma)$. The nuclear level density
Externí odkaz:
http://arxiv.org/abs/2208.10397
Publikováno v:
Environmental DNA, Vol 6, Iss 4, Pp n/a-n/a (2024)
Abstract In the face of climate change, the accelerating nature crisis, and other anthropogenic impacts, conserving biodiversity demands effective monitoring. While innovative approaches have emerged to enhance biodiversity assessment, significant da
Externí odkaz:
https://doaj.org/article/75c7eca276bd43e291c051cacf8c816c
Autor:
Kvalheim, Matthew D.
Necessary conditions for asymptotic stability and stabilizability of subsets for dynamical and control systems are obtained. The main necessary condition is homotopical and is in turn used to obtain a homological one. A certain extension is ruled out
Externí odkaz:
http://arxiv.org/abs/2205.07840
Autor:
Kvalheim, Matthew D.
The Hopf theorem states that homotopy classes of continuous maps from a closed connected oriented smooth $n$-manifold $M$ to the $n$-sphere are classified by their degree. Such a map is equivalent to a section of the trivial $n$-sphere bundle over $M
Externí odkaz:
http://arxiv.org/abs/2203.10371