Stationary orbits of linear time-varying observation systems
https://doi.org/10.29235/1561-8323-2021-65-1-18-24
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.
About the Author
A. I. Astrovskii
Belarus State Economic Univesity
Belarus
Belarus
Astrovskii Anatoly I. – D. Sc. (Physics and Mathematics), Professor
26, Partizanskii Ave., 220070, Minsk
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