Structural control to minimize the dynamic response of Mindlin-Timoshenko plates
The authors are interested in the dynamic response of a Mindlin- Timoshenko plate. Unfortunately, in their model they replace the Laplacian at each instant by the biharmonic operator, retaining, however, the boundary conditions of the (correct) Mindlin-Timoshenko plate theory. Therefore, the model presented in this paper is both physically and mathematically inconsistent. Furthermore, in the introduction, the authors announce to study a vector-valued performance problem. In fact, what they actually do is discussing a standard quadratic cost problem, involving norm constraints on the distributed controls. Incidentally, this part of the paper under review is almost identical with the corresponding one of a pevious paper by the authors [J. Optimization Theory Appl. 50, 451-461 (1986; Zbl 0577.49004)].
scientific article; zbMATH DE number 4044585