Topological equivalence of nonlinear systems
نویسندگان
چکیده
منابع مشابه
Topological equivalence and topological linearization of controlled dynamical systems
The general, differential-equation-independent definition of a continuous-time controlled dynamical system as well as of the state space transformation and static state feedback are introduced. This approach makes it possible to consider transformations that are not smooth and introduce the so-called topological equivalence of controlled dynamical sys tems. It is shown that this approach gener...
متن کاملOn the topological equivalence of some generalized metric spaces
The aim of this paper is to establish the equivalence between the concepts of an $S$-metric space and a cone $S$-metric space using some topological approaches. We introduce a new notion of a $TVS$-cone $S$-metric space using some facts about topological vector spaces. We see that the known results on cone $S$-metric spaces (or $N$-cone metric spaces) can be directly obtained from...
متن کاملTopological Equivalence of Tilings
We introduce a notion of equivalence on tilings which is formulated in terms of their local structure. We compare it with the known concept of locally deriving one tiling from another and show that two tilings of nite type are topologically equivalent whenever their associated groupoids are isomorphic.
متن کاملThurston Equivalence of Topological Polynomials
We answer Hubbard’s question on determining the Thurston equivalence class of “twisted rabbits”, i.e. composita of the “rabbit” polynomial with nth powers of the Dehn twists about its ears. The answer is expressed in terms of the 4-adic expansion of n. We also answer the equivalent question for the other two families of degree-2 topological polynomials with three post-critical points. In the pr...
متن کاملTopological Equivalence of Discontinuous Norms
We show that for every p > 0 there is an autohomeomorphism h of the countable infinite product of lines R N such that for every r > 0, h maps the Hilbert cube [ r , r ] N precisely onto the "elliptic cube" o~ {X ~ R N : ~ i = l I xi]p ~rP)" T h i s m e a n s that the supremum n o r m and, for instance, the Hilbert norm (p ---2) are topologically indistinguishable as functions on R N. The result...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1970
ISSN: 0022-247X
DOI: 10.1016/0022-247x(70)90131-9