Global observability of flows on the torus: An application of number theory

Lance Drager; Clyde Martin

doi:10.1007/BF01704909

Global observability of flows on the torus: An application of number theory

Lance Drager, Clyde Martin

Mathematics and Statistics

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5 Scopus citations

Abstract

Kronecker's theorem is used to show that the irrational flows on the n-dimensional torus are globally observed by a large class of continuous functions. These results are used to study the observability of Riccati flows on the Grassman manifolds.

Original language	English
Pages (from-to)	103-115
Number of pages	13
Journal	Mathematical Systems Theory
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/BF01704909
State	Published - Dec 1986

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title = "Global observability of flows on the torus: An application of number theory",

abstract = "Kronecker's theorem is used to show that the irrational flows on the n-dimensional torus are globally observed by a large class of continuous functions. These results are used to study the observability of Riccati flows on the Grassman manifolds.",

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