Results 51 to 60 of about 35,702 (155)
Zhongguo Jianchuan YanjiuObjectiveThis study addresses the adaptive automatic berthing control problem for underactuated vessels, considering both internal/external uncertainties and false data injection (FDI) attacks.
Chun LI, Guibing ZHU, Qiang ZHANG
doaj +1 more source
On the space of linear homeomorphisms of a polyhedral N-cell
Topology and its Applications, 1986 Let (D,T) be a closed n-cell with a triangulation T such that the triangulated cell is linearly embedded in the Euclidean space \(E^ n\). A linear homeomorphism of (D,T) is a homeomorphism \(f: D\to D\) such that f is pointwise fixed on Bd(D) and is linear on each simplex of T.
openaire +2 more sources
ON LINEAR HOMEOMORPHISMS OF SPACES OF CONTINUOUS FUNCTIONS ON «LONG LINES» [PDF]
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2016 Summary: In this paper, we prove that for the elementary regular ordinal and arbitrary ordinals \(\alpha, \beta ...
openaire +2 more sources
On certain homotopy properties of some spaces of linear and piecewise linear homeomorphisms. II [PDF]
Transactions of the American Mathematical Society, 1973 In his study of the smoothings of p. l. manifolds, R. Thom considered the homotopy groups of a certain space L n {L_n} of p.l. homeomorphisms on an n n -simplex. N. H. Kuiper showed in 1965 that the higher homotopy groups of L n {L_n}
openaire +3 more sources
Piecewise linear homeomorphisms of a circle and foliations
Tohoku Mathematical Journal, 1991 The universal covering group \(\widetilde{\hbox{Homeo}}_ +(S^ 1)\) of \(\hbox{Homeo}_ +(S^ 1)\) is the subgroup of \(\hbox{Homeo}_ +(\mathbb{R})\) consisting of all \(\tilde f\) that commute with translation by 1. A theorem of Eisenbud, Hirsch, and Neumann asserts that \(\tilde f\in \widetilde{\hbox{Homeo}}_ +(S^ 1)\) is a product of \(k\) commutators ...
openaire +2 more sources
Linear homeomorphisms of some classical families of univalent functions [PDF]
Proceedings of the American Mathematical Society, 1977 The extreme points of the closed convex hull of some classical families of univalent functions analytic on the open unit disk, e.g. the convex, K, and starlike, St, have recently been characterized. These characterizations are used to determine an explicit representation for the class of linear homeomorphisms of the extreme points of the closed convex ...
openaire +1 more source
Linear dilatation and differentiability of homeomorphisms of $\mathbb{R}^{n}$ [PDF]
Proceedings of the American Mathematical Society, 2012 In this article, the author proves the following two results. Suppose that \(d\geq 2\). Let \(h: [0,\infty)\to [0,\infty)\) be a homeomorphism satisfying \[ \frac{h(t)}{t^{d-1}}\to 0\; \text{as \(t\to 0^+\)}. \] Then there exists a homeomorphism \(f: [0,1]^d\to f([0,1]^d)\subset {\mathbb R}^d\) and a set \(S\subset [0,1]^d\) such that \begin{itemize ...
openaire +1 more source
A Schoenflies extension theorem for a class of locally bi-Lipschitz homeomorphisms
, 2009 In this paper we prove a new version of the Schoenflies extension theorem for collared domains in Euclidean n-space: for 1 < p < n, locally bi-Lipschitz homeomorphisms between collared domains with locally p-integrable, second-order weak derivatives ...
Gong, Jasun
core
Simplexwise linear and piecewise linear near self-homeomorphisms of surfaces [PDF]
Fundamenta Mathematicae, 1989 Summary: Let \(K\subset {\mathbb{R}}^ 2\) be a triangulated 2-disk; a map f: \(K\to {\mathbb{R}}^ 2\) is called simplexwise linear (SL) if \(f| \sigma\) is an affine linear map for every (closed) simplex \(\sigma\) in K. Let \(L(K)=\{SL\) homeomorphisms \(K\to K\) fixing \(\partial K\) pointwise\(\}\), and let \(\overline{L(K)}\) denote its closure in ...
openaire +1 more source
Local Criteria for Triangulating General Manifolds. [PDF]
Discrete Comput Geom, 2023 Boissonnat JD +3 more
europepmc +1 more source