... of discrete time responses. Finally, singular value decomposition (SVD) separates out parameter and time information and the expected uncertainty of the first few left and right singular vectors predicts any instability that might occur over the entire life-time of the dynamics. The singular vectors...

.... The methodology first replaces the implicit mechanistic model with a simple explicit meta-model with the help of design of experiments and singular value decomposition, then transforms the dynamic, time variant, probabilistic problem into a sequence of time invariant steady-state probability problems using cycle...

... for the synthesis and analysis of mechanical systems. We discuss a technique for approximating elements of SE ( n ) with elements of the special orthogonal group SO ( n + 1 ) . This technique is based on using the singular value decomposition (SVD) and the polar decompositions (PD) of the homogeneous transform...

... with given atoms’ coordinates. Dihedral angle final values correspond to the minimum structural error configuration. In this method, singular value decomposition technique is used to best fit the atoms in the two conformations. The third method is a variant of the second method. In this instead of rotating...

... in an effective manner using the singular value decomposition. These parameters include the moment of inertia, speed, torque, and power of the motor required for producing the specified velocity and acceleration of the end effector. An example is given to determine these parameters of a device...

... data. The present work is an extension of these methods for estimating the object velocity and acceleration states from the given point position, velocity and acceleration data. The method proposed herein uses Singular Value Decomposition (SVD) to effectively estimate the object velocity...

... in the JOURNAL OF MECHANICAL DESIGN . Manuscript received Nov. 2001; rev. Nov. 2002. Associate Editor: G. S. Chirikjian. 01 Nov 2001 01 Nov 2002 04 09 2003 manipulator kinematics singular value decomposition approximation theory geometry Numerous investigations have been...

... received July 2001; revised October 2002. Associate Editor: D. C. H. Yang. 01 July 2001 01 October 2002 04 09 2003 manipulator kinematics geometry singular value decomposition The direct kinematic problem has been studied in detail for all 3-DOF planar parallel...