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In addition, a Nussbaum function is incorporated to cope with the unknown control direction and a neural network is adopted to tackle the unknown nonlinear functions.
In this controller, the adaptive fuzzy system is used to approximate the unknown nonlinearities and the Nussbaum function is incorporated to deal with the unknown control direction (i.e. with the unknown control gain sign).
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In the equation governing cytoplasmic phospho-Raf-1 activity, the max function was incorporated to enforce that the inhibitory effects of plasma membrane CaM and cytoplasmic phospho-ERK-1/2 do not escalate into dephosphorylation effects instead (i.e. these inhibitions can only negate the activating effect of extracellular Ca2+, but cannot reduce fractional activation of cytoplasmic phospho-Raf-1).
At the presence of discontinuous friction, a sigmoid-jump-function NN is incorporated to improve control performance.
Note that the anisotropy function is incorporated squared, and solely in the gradient energy term.
Specifically, each binding reactions implemented by the Michaelis Menten kinetics in ODE is now treated as single reaction step, and the corresponding Hill function is incorporated directly as propensity function.
Often, a re-initializing algorithm is incorporated to transform a numerically instable level set function to a signed distance function.
Goal programming (GP) is incorporated to aggregate the multiple design objectives into a single objective function.
A feedback loop is incorporated to optimize the process parameters.
A procedural model of this sort allows more than one explicit function to be incorporated to describe versatile material gradations and the material composition at a given location is no longer computed by simple evaluation of an analytic function, but obtained by execution of customizable procedures.
Both the separation technique of continuous function and radial-basis-function (RBF) neural network are incorporated to approximate the uncertain system function.
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