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By linearizing the process equation (12) around x k − 1 | k − 1 i, j, we have x k ≈ f ( x k − 1 | k − 1 i, j ) + F k i, j ( x k − 1 − x k − 1 | k − 1 i, j ) + u k, u k ∼ N ( 0 4 × 1, Q ), where F k i, j is the jacobian matrix of f with respect to the state F k i, j ≈ ∂f ( x k ) ∂ x k x k = x k − 1 | k − 1 i, j.
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Model predictive control is also designed that uses advanced optimization algorithm to minimize the error while linearizing the process.
At each iteration, a linear system is obtained by linearizing the weak form of the problem.
At the second tier, actual control actions are determined in consideration of process constraints by solving a QP problem, which is formulated by linearizing the nonlinear model around the LQI trajectory.
By linearizing the noise term around the traveling wave solution, we obtain an approximating system of diffusion processes.
This is achieved by linearizing the "score" or the pdf approximate of the observation.
Lie symmetries are obtained by linearizing the symmetry condition about the identity, as follows.
The spinover mode is then considered, by linearizing the equation of motion for the fluid.
Theoretical impedance profiles were obtained by linearizing the model at every chosen membrane potential (see Materials and Methods).
The Ornstein Uhlenbeck process is obtained by linearizing about the mean field steady state distribution of the tau-leaping model (see Appendix B).
Capped cRNAs encoding ion channels were synthesized after linearizing the plasmids and performing the transcription by a standard protocal [35].
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