Exponential decay rates for the solutions to plate equations with boundary dissipation in the moments
The authors present several results related to feedback controllability and feedback stabilization for Euler-Bernoulli plates with boundary controls acting via moments (bendings, torques, twists, etc.). This kind of problem has numerous applications in the area of robotics, large space structures, etc., where only moments are available to control action. It is assumed that only the moments are subject to control action. This fact leads to new PDE (partial differential equation) questions that must be answered. In addition a feedback solution to the null-controllability problem, which appears to be the first result of this type for infinite dimensional systems with unbounded controls, is provided.
Proceedings of the IEEE Conference on Decision and Control
Lasiecka, I. (1990). Exponential decay rates for the solutions to plate equations with boundary dissipation in the moments. Proceedings of the IEEE Conference on Decision and Control, 6, 2933-2935. https://doi.org/10.1109/cdc.1990.203321