|
Avtomatika i Telemekhanika, 2004, Issue 12, Pages 29–48
(Mi at1672)
|
|
|
|
This article is cited in 13 scientific papers (total in 13 papers)
Deterministic Systems
Optimization of parameters of stationary models in a unitary space
A. O. Egorshin Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
Presented in the paper is a variational method of optimizing the coefficients of a vector difference equation with constant (matrix) complex coefficients, which approximates by one of its solution a prescribed finite sequence of complex vector equidistant counts. It is shown that an appropriate variational problem with unfastened boundaries is equivalent to the discovery of a chain of subspaces, which is generated by a polynomial in an isometric operator in an abstract Hilbert space. The chain is such that it is remote to a maximum from an arbiitrarily specified element of this space. To afford an effective recursion solution of the problem, use is made of counter processes of orthogonalization and special iterative procedures of optimizing the parameters of an equation that approximates the process under study in a finite observation interval.
Citation:
A. O. Egorshin, “Optimization of parameters of stationary models in a unitary space”, Avtomat. i Telemekh., 2004, no. 12, 29–48; Autom. Remote Control, 65:12 (2004), 1885–1903
Linking options:
https://www.mathnet.ru/eng/at1672 https://www.mathnet.ru/eng/at/y2004/i12/p29
|
Statistics & downloads: |
Abstract page: | 202 | Full-text PDF : | 72 | References: | 34 | First page: | 2 |
|