In this paper, we study a boundary stabilization of the torsional vibrations of a solar panel. The panel is held by a rigid hub at one end and is totally free at the other. The dynamics of the overall system leads to hybrid system of equations. It is set to a certain initial vibrations with a control torque as a stabilizer at the hub end only. Taking a non-linear damping as boundary stabilizer, a uniform exponential energy decay rate is obtained directly. Thus an explicit form of uniform stabilization of the system is achieved by means of the exponential energy decay estimate.
Nandi, Prasanta K.; Gorain, Ganesh C.; and Kar, Samarjit
Boundary Stabilization of Torsional Vibrations of a Solar Panel,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 7,
1, Article 29.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss1/29