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A 3×3 transfer function matrix is used for representing the dynamics of this process.
The mathematical theory of a vector ARMA model, which includes a Green function matrix, a correlation function matrix and a spectral density matrix, is presented.
The frequency-response function matrix and correlation function matrix of the system response are derived from these equations based on the theory of random vibration.
In practice, the frequency response function matrix to be inverted may very often be ill-conditioned.
The didactic sequence proved to have potential to foster students' learning of function, matrix transformations and matrix multiplication.
Applying a first-order Taylor series approximation, the transfer function matrix model of interstand tension stress was derived.
Based on the transfer function matrix, a close-loop coolant temperature control system without compensator is built.
The analytical equation of NC data is obtained by the inverse kinematics and the form-shaping function matrix.
The machine tool's form-shaping function matrix is derived based on the homogeneous coordinate transformation and the forward kinematics.
Homogenous transformation matrices are then employed to derive the CMM ability function matrix and the measuring probe location matrix.
The resulting model incorporates the uncertain parameters of the transfer function matrix in the state-space matrices.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com