Temat: orthogonal basis - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Topological algebras with an orthogonal total sequence
Autorzy:: Render, Hermann
Powiązania:: https://bibliotekanauki.pl/articles/966658.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: orthogonal basis
Hadamard product
topological algebra
Opis:: The aim of this paper is an investigation of topological algebras with an orthogonal sequence which is total. Closed prime ideals or closed maximal ideals are kernels of multiplicative functionals and the continuous multiplicative functionals are given by the "coefficient functionals". Our main result states that an orthogonal total sequence in a unital Fréchet algebra is already a Schauder basis. Further we consider algebras with a total sequence $(x_n)_{n∈ℕ}$ satisfying $x^2_n=x_n$ and $x_n x_{n+1} = x_{n+1}$ for all n ∈ ℕ.
Źródło:: Colloquium Mathematicum; 1997, 72, 2; 215-222
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Two steps piecewise affine identification of nonlinear systems
Autorzy:: Stevek, J.
Szucs, A.
Kvasnica, M.
Fikar, M.
Kozak, S.
Powiązania:: https://bibliotekanauki.pl/articles/229499.pdf
Data publikacji:: 2012
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: piecewise affine systems
piecewise linear
approximation
nonlinear systems
orthogonal polynomials
basis function expansion
Opis:: Given a set of input-output measurements, the paper proposes a method for approximation of a nonlinear system by a piecewise affine model (PWA). First step of the two-stage procedure is identification from input-output data, in order to obtain an appropriate nonlinear function in analytic form. The analytic expression of the model can be represented either by a static nonlinear function or by a dynamic system and can be obtained using a basis function expansion modeling approach. Subsequently we employ nonlinear programming to derive optimal PWA approximation of the identified model such that the approximation error is minimized. Moreover, we show that approximation of multivariate systems can be transformed into a series of one-dimensional approximations, which can be solved efficiently using standard optimization techniques.
Źródło:: Archives of Control Sciences; 2012, 22, 4; 371-388
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

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