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The merit of this approach reduces the computational complexity of the robot dynamics by allowing online computation of a high order system at a lower computational cost.
A trial-by-trial modification of the number of bubbles, however, requires the online computation of each dynamic stimulus.
These manifolds are subsequently segmented so that the redundancy can be parameterized and the solutions can be represented by simple equations whose parameters are stored for rapid online computation.
Robustness is provided by the guarantee of a bounded tracking error, thanks to the online computation on the desired velocity along the trajectory.
Additionally by scanning the object's surface for finger contact points rather than scanning the volume of the bounding box about the object, and by using parallel computation, graspability map computation-time is considerably reduced, facilitating online computation of multiple measures.
The problem becomes more critical where the system dynamics is described by a nonlinear model, because there exist few effective nonlinear parameter estimators with reasonable online computation time.
It's an online computation process par excellence".
Trying to solve this by hand is nearly impossible: the process leads, as Mr. Ciriani put it, to brutal and nefarious polynomials like the following: y(2x-y)(3y-x-3)/(2y-3)/ y-x) = (-9x^3-8y^3-9x^2 y+22xy^2)/3/(2x^2+xy-y^2xy-y^2) Moft of us visited the online computation engine Wolfram Alpha at this point, but the equations were a challenge even for this powerful tool.
The desired filter gain is obtained by recursively solving a set of Riccati-like matrix equations, and the filter design algorithm is therefore applicable for online computation.
Although the dimension of the space spanned by the reduced mixed GMsFE basis functions is much smaller than the dimension of the original full order model, the online computation still depends on the number of coarse degree of freedoms.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com