Stationary orbits of linear time-varying observation systems-Reference-Cited by-同舟云学术

Stationary orbits of linear time-varying observation systems

Published:2021-02-25 Issue:1 Volume:65 Page:18-24
ISSN:2524-2431
Container-title:Doklady of the National Academy of Sciences of Belarus
language:
Short-container-title:Dokl. Akad. nauk

Author:

Astrovskii A. I.¹

Affiliation:

1. Belarus State Economic Univesity

Abstract

In terms of matrix observability, the necessary and sufficient conditions are obtained for the linear timevarying observation system to have stationary orbits with respect to the linear time-varying transformation group of class C1 . The full invariant of the action of a transformation group is described. It is proved that for any matrix function A c C(T, Rn×n ), there exists such an n-vector function c(t), t c T, that the pair (A, c) is uniformly observable. The algorithm for constructing a stationary system is described.

Publisher

Publishing House Belorusskaya Nauka

Reference13 articles.

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