Siegel's lemma is sharp for almost all linear systems

2019 ◽  
Vol 51 (5) ◽  
pp. 853-867
Author(s):  
Roger Baker ◽  
David Masser
Keyword(s):  
Linear Systems ◽  
Siegel’S Lemma ◽  
Almost All ◽  
Siegel's Lemma

A note on Siegel's Lemma over number fields

1995 ◽  
Vol 120 (3-4) ◽  
pp. 307-318 ◽  
Author(s):  
Damien Roy ◽  
Jeffrey Lin Thunder
Keyword(s):  
Number Fields ◽  
Siegel’S Lemma ◽  
Siegel's Lemma

scholarly journals Siegel’s Lemma and Sum-Distinct Sets

2008 ◽  
Vol 39 (1-3) ◽  
pp. 59-66 ◽  
Author(s):  
Iskander Aliev
Keyword(s):  
Siegel’S Lemma ◽  
Siegel's Lemma

scholarly journals Ellipsoidal Set Based Command Governors for Constrained Linear Systems with Bounded Disturbances

2021 ◽  
Author(s):  
Nguyen Hoai Nam
Keyword(s):  
Linear Systems ◽  
Computational Efficiency ◽  
Attractive Alternative ◽  
Feasible Set ◽  
Computational Burden ◽  
Numerical Examples ◽  
Constrained Linear Systems ◽  
Bounded Disturbances ◽  
Polyhedral Set ◽  
Almost All

This paper provides a solution for a linear command governor (CG) that employs invariant and constraint-admissible ellipsoid. The motivation is to substitute the typical polyhedral set used in almost all CG schemes with the ellipsoidal one, which is much easier to construct. However the price for this offline computational efficiency is that the size of the feasible set can be relatively small, and the online computational burden is heavier than that of polyhedral set based CGs. The proposed solution overcomes these two weaknesses and offers a very attractive alternative to polyhedral set based CG. Two numerical examples with comparison to earlier solutions from the literature illustrate the effectiveness of the proposed algorithm.

scholarly journals A Note on Siegel's Lemma

1996 ◽  
Vol 26 (3) ◽  
pp. 1057-1068 ◽  
Author(s):  
D.W. Masser
Keyword(s):  
Siegel’S Lemma ◽  
Siegel's Lemma

scholarly journals Siegel's lemma for function fields.

1995 ◽  
Vol 42 (1) ◽  
pp. 147-162 ◽  
Author(s):  
Jeffrey Lin Thunder
Keyword(s):  
Function Fields ◽  
Siegel’S Lemma ◽  
Siegel's Lemma
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