Title :
Properties of the Euler-Bernoulli beam equation and the Kirchoff plate equation related to controllability
Author_Institution :
Dept. of Math., Minnesota Univ., Minneapolis, MN, USA
Abstract :
Summary form only given. A discussion is presented of the propagation of singularities, uniqueness questions, and other properties of the Euler-Bernoulli beam equation and the Kirchoff plate equation. A result previously obtained by the author (1985), which essentially gave an explicit solution to the boundary control problem for the plate equation utt+Δ2u=0, is expanded upon to give a representation formula for a solution in a cylinder in terms of the Cauchy data on the lateral boundary. The relationship of the results to questions of controllability is examined
Keywords :
boundary-value problems; controllability; distributed parameter systems; poles and zeros; Cauchy data; Euler-Bernoulli beam equation; Kirchoff plate equation; boundary control problem; controllability; lateral boundary; singularity propagation; uniqueness; Boundary conditions; Control systems; Control theory; Controllability; Displacement control; Equations; Information analysis; Mathematics; Optimal control; Smoothing methods;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70579
