The time discretization is accomplished by using a modified Laplace transform in time to represent the solution as an integral along a smooth curve extending into the left half of the complex plane, ...

Abstract: Although Laplace's equation is simple, the region over which it is to be solved is often complicated. Both the shape of the region and the boundary conditions can induce solutions Φ which ...

The close loop transfer function is The integral compensation has taken the system to 2nd order, and an underdamped 2nd order at that. Remembering that the Laplace transform of the step input is 1/s, ...

The Laplace transform is less familiar, even though it is a generalization of the Fourier transform. [Steve Bruntun] has a good explanation of the math behind the Laplace transform in a recent ...

The Laplace transform is less familiar, even though it is a generalization of the Fourier transform. [Steve Bruntun] has a good explanation of the math behind the Laplace transform in a recent ...

The integrals are approximated by Gauss-Legendre quadrature formulas (see Reference [2]) and the MATLAB function integral.m following the strategy given in Reference [1]. [1] F. Colasuonno, F. Ferrari ...