TY - GEN
T1 - Collinear dynamical systems
AU - Montenbruck, Jan Maximilian
AU - Zeng, Shen
N1 - Publisher Copyright:
© 2017 American Automatic Control Council (AACC).
PY - 2017/6/29
Y1 - 2017/6/29
N2 - We characterize coupled linear dynamical systems whose solutions remain collinear for all times whenever they are initialized collinearly. With this characterization at hand, we further ask whether linear control systems can be forced to exhibit such collinear solutions via appropriate choice of state feedback. Last, we extend our analysis to multiple collinear systems, therein also encountering coplanar dynamical systems and, in general, linear dynamical systems living on certain Grassmannians.
AB - We characterize coupled linear dynamical systems whose solutions remain collinear for all times whenever they are initialized collinearly. With this characterization at hand, we further ask whether linear control systems can be forced to exhibit such collinear solutions via appropriate choice of state feedback. Last, we extend our analysis to multiple collinear systems, therein also encountering coplanar dynamical systems and, in general, linear dynamical systems living on certain Grassmannians.
UR - http://www.scopus.com/inward/record.url?scp=85019587947&partnerID=8YFLogxK
U2 - 10.23919/ACC.2017.7963555
DO - 10.23919/ACC.2017.7963555
M3 - Conference contribution
AN - SCOPUS:85019587947
T3 - Proceedings of the American Control Conference
SP - 3920
EP - 3925
BT - 2017 American Control Conference, ACC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 American Control Conference, ACC 2017
Y2 - 24 May 2017 through 26 May 2017
ER -