Geodesic
On the optimal stabilization of a double mathematical pendulum having a movable suspension center
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2011), pp. 31-39

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of optimal stabilizatioin of a double pendulum, when its suspension center moved in the horizontal direction according to the given law, has been treated. The problem was reduced to the case of a linear nonuniform system that was solved in the event when the first and the second pendulums had equal masses and lengths. An optimal Lyapunov function and an optimal control action have been constructed.
Keywords: driven double pendulum, optimal stabilization, Lyapunov function, Lyapunov–Bellman method.
Mots-clés : equations of motion, Lagrange's equations 
@article{UZERU_2011_3_a4,
     author = {S. G. Shahinyan and G. N. Kirakosyan},
     title = {On the optimal stabilization of a double mathematical pendulum having a movable suspension center},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {31--39},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2011_3_a4/}
}
TY  - JOUR
AU  - S. G. Shahinyan
AU  - G. N. Kirakosyan
TI  - On the optimal stabilization of a double mathematical pendulum having a movable suspension center
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2011
SP  - 31
EP  - 39
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2011_3_a4/
LA  - en
ID  - UZERU_2011_3_a4
ER  - 
%0 Journal Article
%A S. G. Shahinyan
%A G. N. Kirakosyan
%T On the optimal stabilization of a double mathematical pendulum having a movable suspension center
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2011
%P 31-39
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2011_3_a4/
%G en
%F UZERU_2011_3_a4
S. G. Shahinyan; G. N. Kirakosyan. On the optimal stabilization of a double mathematical pendulum having a movable suspension center. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2011), pp. 31-39. http://geodesic.mathdoc.fr/item/UZERU_2011_3_a4/