scholarly journals State and feedback linearizations of single-input control systems

2010 ◽  
Vol 59 (7) ◽  
pp. 429-441 ◽  
Author(s):  
Issa Amadou Tall
Keyword(s):  
Control Systems ◽  
Input Control ◽  
Single Input

scholarly journals Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)0

2016 ◽  
Vol 24 (2) ◽  
pp. 45-65 ◽  
Author(s):  
Rory Biggs ◽  
Claudiu C. Remsing
Keyword(s):  
State Space ◽  
Control Systems ◽  
Equivalence Class ◽  
Lie Group ◽  
Orthogonal Group ◽  
Full Rank ◽  
Input Control ◽  
The Matrix ◽  
Single Input ◽  
Invariant Control

AbstractWe consider left-invariant control affine systems on the matrix Lie group SO (2, 1)0. A classification, under state space equivalence, of all such full-rank control systems is obtained. First, we identify certain subsets on which the group of Lie algebra automorphisms act transitively. We then systematically identify equivalence class representatives (for single-input, two-input and three-input control systems). A brief comparison of these classification results with existing results concludes the paper.

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