Euler-Maruyama algorithm integrated these equations with a time step of 0.1 seconds to accelerate simulation79. The free bifurcation parameter \({{{\rm{a}}}_{{{\rm{j}}}\) for parcel/region j could be locally optimized based on fitting the spectral information of the empirical BOLD signals....
We imported ITK rigid image registration methods into CERR, including affine transform, similarity transform, Euler3D transform, versor3D transform, etc. We also implemented a multi-grid framework to improve the speed and accuracy of the automatic registration process. In addition, we implemented 3D ...
The dual quaternion and pure dual quaternion based method can be traced back to Euler-Rodrigues’ parameters and Euler-Rodrigues’ formula [79] in the 18th century. Hamilton [80] and Rodrigues [81] did some pioneering work in this field. Based on that, Clifford [82] transformed rotation abou...
We use the MATLAB Optimization Toolbox implementation of Sequential Quadratic Programming (SQP) for solving the above constrained nonlinear trajectory planning optimization problem. The SQP is one of the most used methods in solving general constrained nonlinear optimization problems. The method solves the...
The Euler parameters are used to calculate the Euler angles. The U, V, W are computed from the accelerations of the accelerometers. The velocity components of the aircraft are in the body frame. To convert it to the navigation frame or local earth frame, the DCM matrix is used and VT ...
Based on the pole assignment method, the control parameters of the SFIC are designed. Because the first two modes of the transverse vibration of the flexible manipulator are considered, there are 7 poles in the augmented TFMS. Moreover, owing to the fact that the vibration frequency and dampin...
ii) Additionally, the BM-PBC requires controlled variables which are directly expressed in physical measurable variables like current and voltage in switched electrical network while the Euler-Lagrange and the Hamiltonian have physical variables, charge or flux to control current and voltage of the ...
The integrated converter system and PBC strategy are modelled using the Euler-Lagrange approach. The controller's resilience is tested under three different uncertainty conditions and robustness with different damping resistances. The PBC control approach ensures the elimination of limit cycles caused by ...
83 presented an analytical method for predicting the STL across thick cylindrical shells made of FGMs using third order shear deformation theory. Golzari and Jafari84 used Biot's theory for modeling porous material in triple-walled sandwich cylindrical shells. The main results of their work denoted ...
actual output, the synaptic weights are adjusted in an optimization process until the solution is best approximated and the network is trained similarly. We utilized the network shown in Fig.5hwith a training method shown in Supplementary Fig.13aandbto illustrate an example of supervised learning ...