Time optimal synthesis for a so(3)-left-invariant control system on a sphere

2004 ◽  
Author(s):  
U. Boscain ◽  
Y. Chitour
Keyword(s):  
Control System ◽  
Optimal Synthesis ◽  
Time Optimal ◽  
Invariant Control

scholarly journals A Drift-Free Left Invariant Control System on the Lie Group SO(3)×R3×R3

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Camelia Pop
Keyword(s):  
Control System ◽  
Numerical Integration ◽  
Lie Algebra ◽  
Lie Group ◽  
Poisson Structure ◽  
Dual Space ◽  
Free System ◽  
Geometrical Properties ◽  
Free Left ◽  
Invariant Control

A controllable drift-free system on the Lie group G=SO(3)×R3×R3 is considered. The dynamics and geometrical properties of the corresponding reduced Hamilton’s equations on g∗,·,·- are studied, where ·,·- is the minus Lie-Poisson structure on the dual space g∗ of the Lie algebra g=so(3)×R3×R3 of G. The numerical integration of this system is also discussed.

Limit time optimal synthesis for a two-level quantum system

2008 ◽  
Author(s):  
Paolo Mason ◽  
Rebecca Salmoni ◽  
Ugo Boscain ◽  
Yacine Chitour
Keyword(s):  
Quantum System ◽  
Optimal Synthesis ◽  
Limit Time ◽  
Time Optimal
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