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Pointwise Topological Stability

Proceedings of the Edinburgh Mathematical Society, 2018
AbstractWe decompose the topological stability (in the sense of P. Walters) into the corresponding notion for points. Indeed, we define a topologically stable point of a homeomorphism f as a point x such that for any C0-perturbation g of f there is a continuous semiconjugation defined on the g-orbit closure of x which tends to the identity as g tends ...
Koo, Namjip   +2 more
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Local Topological Stability for Diffeomorphisms

Qualitative Theory of Dynamical Systems, 2023
The author studies stability and robustness properties of diffeomorphisms of compact smooth Riemannian manifolds. More specifically, the following two notions of topological stability with respect to an isolated invariant set are introduced and studied.
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The Isomap Algorithm and Topological Stability

Science, 2002
Tenenbaum et al . ([1][1]) presented an algorithm, Isomap, for computing a quasi-isometric, low-dimensional embedding of a set of high-dimensional data points. Two issues need to be raised concerning this work. First, the basic approach presented by Tenenbaum et al .
Mukund, Balasubramanian   +1 more
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Stability of Topological Effectivity Functions

Social Choice and Welfare, 1987
Stability of effectivity functions on a topological space of alternatives is considered. Previous results proved by two authors are related to each other. Special attention is brought to the notions of cycle, upper and lower cycle. Examples of EFs with an infinite alternative space in social choice and economic theory are provided.
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Topological perplexity of feedback stabilization

Journal of Applied and Computational Topology, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topological Stabilizer Codes

2015
Protecting quantum information from decoherence is of prime importance to realize quantum information processing. Several approaches have been proposed toward reliable quantum information processing, ranging from passive to active protections, such as decoherence-free subspaces (Lidar et al, Phys Rev Lett 81:2594, 1998, [102]), dynamical decoupling ...
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Topological aspects of universal adaptive stabilization

Proceedings of 1995 34th IEEE Conference on Decision and Control, 1996
Summary: We consider two problems in ``non-identifier-based'', universal adaptive control within the framework of \textit{B. MÃ¥rtensson} [Adaptive stabilization, Ph.D. thesis, Lund Institute of Technology, 1986]. In this framework, any linear system stabilizable by constant linear output feedback is adaptively stabilized by an adaptive piecewise-linear
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Decentralized stabilization with symmetric topologies

53rd IEEE Conference on Decision and Control, 2014
A sparse matrix space is a vector space of matrices with entries that are either zero or arbitrary real. Letting the pattern of zero and arbitrary entries define an adjacency matrix (by setting the non-zero entries to one), we can attach a graph to such vector spaces and think of this graph as describing the decentralization structure of a control ...
A. Kirkoryan, M.-A. Belabbas
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Pointwise topological stability and persistence

Journal of Mathematical Analysis and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meihua Dong, Keonhee Lee, Carlos Morales
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