Controllability of Affine Control Systems on Lie Groups

2015 ◽  
Vol 13 (2) ◽  
pp. 873-882 ◽  
Author(s):  
Memet Kule
Keyword(s):  
Control Systems ◽  
Lie Groups ◽  
Affine Control Systems ◽  
Systems On Lie Groups

Cost-Extended Control Systems on Lie Groups

2013 ◽  
Vol 11 (1) ◽  
pp. 193-215 ◽  
Author(s):  
R. Biggs ◽  
C. C. Remsing
Keyword(s):  
Control Systems ◽  
Lie Groups ◽  
Systems On Lie Groups

A minimal realization for affine control systems on connected Lie groups

2017 ◽  
Vol 14 (09) ◽  
pp. 1750126
Author(s):  
A. Kara Hansen ◽  
S. Selcuk Sutlu
Keyword(s):  
Control System ◽  
Control Systems ◽  
Lie Groups ◽  
Lie Group ◽  
Canonical Projection ◽  
Minimal Realization ◽  
Realization Problem ◽  
Affine Control Systems ◽  
Affine Control System ◽  
Connected Lie Group

In this work, we study minimal realization problem for an affine control system [Formula: see text] on a connected Lie group [Formula: see text]. We construct a minimal realization by using a canonical projection and by characterizing indistinguishable points of the system.

scholarly journals Attainable sets and one-parameter semigroups of sets

1991 ◽  
Vol 33 (2) ◽  
pp. 187-201 ◽  
Author(s):  
I. Chon ◽  
J. D. Lawson
Keyword(s):  
Control Systems ◽  
Lie Groups ◽  
Vector Fields ◽  
Geometric Control ◽  
Lie Theory ◽  
Attainable Sets ◽  
Widespread Application ◽  
Close Relationship ◽  
Basic Facts ◽  
Systems On Lie Groups

The methods of Lie theory have found widespread application in the study of the Lie algebras of vector fields on manifolds that arise naturally in geometric control theory (for some such applications, see [1]). Control systems on Lie groups themselves also have received considerable attention (see, for example, [9]). After reviewing basic facts about control systems on Lie groups, we derive the close relationship between attainable sets and Rådström's theory [12] of one-parameter semigroups of sets (Section 2). These ideas are then linked to the recently emerging Lie theory of semigroups [5]. The authors are indebted to the referee for pointing out some of the pertinent literature and analogous results from the area of geometric control.

scholarly journals Control systems on Lie groups

1972 ◽  
Vol 12 (2) ◽  
pp. 313-329 ◽  
Author(s):  
Velimir Jurdjevic ◽  
Héctor J Sussmann
Keyword(s):  
Control Systems ◽  
Lie Groups ◽  
Systems On Lie Groups

Solutions of singular control systems on lie groups

2012 ◽  
Vol 18 (3) ◽  
pp. 323-338
Author(s):  
V. Ayala ◽  
J. C. Rodríguez ◽  
I. A. Tribuzy ◽  
C. Wagner
Keyword(s):  
Control Systems ◽  
Lie Groups ◽  
Singular Control ◽  
Systems On Lie Groups
Sign in / Sign up

Export Citation Format

Share Document