Title :
Uniform exponential energy decay of Euler-Bernoulli equations by suitable boundary feedback operators
Author_Institution :
Dept. of Appl. Math., Virginia Univ., Charlottesville, VA, USA
Abstract :
The author sketches the proof of a few novel results on uniform stabilization of Euler-Bernoulli equations. The results are fully consistent with recently established exact controllability and optimal regularity theories. A bending moment type of condition replaces the Neumann boundary condition. The author presents results for the case in which only the boundary control is active. As expected, geometrical conditions on the domain are needed
Keywords :
controllability; distributed parameter systems; stability; Euler-Bernoulli equations; bending moment; boundary control; boundary feedback operators; distributed parameter systems; exact controllability; optimal regularity; uniform stabilization; Controllability; Damping; Feedback control; Feedback loop; Jacobian matrices; Optimal control; Partial differential equations; State feedback; Symmetric matrices; Topology;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194524