Optimal Control of Vibrating Thin Plates
Vadím Komkov · SIAM Journal on Control · 1970
This paper establishes some basic generalizations of Pontryagin’s principle for vibrating thin, inhomogeneous plates, subject to mixed boundary conditions. (Part of the boundary is simply supported, part of it is free, and part of it is built in.) An instantly optimal control, as defined by the author in [7], is studied, and a corresponding principle is developed. Finally some comments are made regarding the nature of an optimal excitation for thin plates.