Modeling and Control in Vibrational and Structural Dynamics: A Differential Geometric Approach describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It shows how the differential geometric approach is used when the coefficients of partial differential equations (PDEs) are variable in space (waves/plates),
Preliminaries from Differential Geometry. Control of the Wave Equation with Variable Coefficients in Space. Control of the Plate with Variable Coefficients in Space. Linear Shallow Shells: Modeling and Control. Naghdi's Shells: Modeling and Control. Koiter's Shells: Modeling and Controllability. Control of the Quasilinear Wave Equation in Higher Dimensions. References. Bibliography. Index.