Titlebook: Control Theory for Distributed Parameter Systems and Applications; Franz Kappel,Karl Kunisch,Wilhelm Schappacher Conference proceedings 19

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On time-optimal boundary control of vibrating beams,given constant M>O, if T is sufficiently large. This guarantees the existence of time-minimal controls v. for which it can be shown that ‖v′.‖.2.=M where T(M) is the minimum time such that restricted null-controllability at t=T is possible.

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The Linear Tetrahedral (Solid) Element,The linear tetrahedral (solid) element is a three-dimensional finite element with both local and global coordinates. It is characterized by linear shape functions. It is also called the constant strain tetrahedron. The linear tetrahedral element has modulus of elasticity . and Poisson’s ratio ..

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