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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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Topological Stability of the Averages of Functions

Ukrainian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maksimenko, S. I., Marunkevich, O. V.
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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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The topology of D-stability

2016 IEEE 55th Conference on Decision and Control (CDC), 2016
The paper is devoted to the study of topological properties of different definitions of stability for polynomials.
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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 ...
Artur Masis Kirkoryan   +1 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 Obstructions to Submanifold Stabilization

IEEE Transactions on Automatic Control, 2010
We consider the problem of local asymptotic feedback stabilization-via a continuously differentiable feedback law-of a control system x = f(x,u) defined in Euclidean space Rn (with f being continuously differentiable) to a compact, connected, oriented m-dimensional submanifold M of Rn with codimension strictly larger than one.
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