A design of a fractional-order (FO) integrator is introduced for operation resulting solution in the current mode (CM). The based on utilization RC structures, but comparison to other structure FO designs, proposed offers electronic control order. Moreover, does not require multiple specific and accurate values voltages/currents topologies approximation Laplacian operator. gain level (gain adju...

In this contribution, aH∞-controller is devised for the tracking of a reference trajectory in a SISO-system. To this end, a H∞ suboptimal set-point control concept for bilinear systems is adapted and generalized for tracking purposes resorting to the overall error dynamics of the respective timevarying system. The presented controller incorporates integral action on the angular shaft velocity a...

We present sixthand eighth-order Hermite integrators for astrophysical N -body simulations, which use the derivatives of accelerations up to second order (snap) and third order (crackle). These schemes do not require previous values for the corrector, and require only one previous value to construct the predictor. Thus, they are fairly easy to be implemented. The additional cost of the calculat...

We develop a continuous linear multistep method using interpolation and collocation of the approximate solution for the solution of first order ordinary differential equation with a constant step-size. The approximate solution is combination of power series and exponential function. The independent solution was then derived by adopting block integrator. The properties of the method was investig...

in this paper, we obtain  bayesian prediction intervals as well as bayes predictive estimatorsunder square error loss for generalized order statistics when the distribution of the underlying population belongs to a family which includes several important distributions.

Air quality models compute the transformation of species in the atmosphere undergoing chemical and physical changes. The numerical algorithms used to predict these transformations should obey mass conservation and positive definiteness properties. Among all physical phenomena, the chemical kinetics solver provides the greatest challenge to attain these two properties. In general, most chemical ...

Leapfrog integration has been the method of choice in N-body simulations owing to its low computational cost for a symplectic integrator with second order accuracy. We introduce a new leapfrog integrator that allows for variable timesteps for each particle in large N-body simulations. Tests with single particles in fixed potentials show that it behaves as a symplectic integrator. We then examin...

This research paper examines the derivation and implementation of a new 4-point block method for direct integration of first-order ordinary differential equations using interpolation and collocation techniques. The approximate solution is a combination of power series and exponential function. The paper further investigates the properties of the new integrator and found it to be zero-stable, co...

A sigma delta modulator incorporating a linear phase integrator instead of a conventional voltage-domain integrator is described. The architecture allows achieving a quasi-second order noise shaping by using a passive SC low-pass filter in the first stage. Simulation results demonstrate that the circuit can operate with sampling frequencies of hundred of MHz while obtaining a figure of merit (F...