大学時代の制御工学の授業を思い出しながら、（私の勝手な主観判断で）必要最低限の知識を「虎の巻」として書いていこうと思います。こんな記事を書こうと思ったのは、実は最近になって「ちゃんと制御を考えるように！」と、とある大先生から宿題を ...

In this paper, the Laplace transform definition is implemented without resorting to Adomian decomposition nor Homotopy perturbation methods. We show that the said transform can be simply calculated by ...

What is a transfer function? How to implement a Laplace transform in LTspice. Analyzing transfer functions in the frequency and time domains. Looking at compensator design in LTspice. Transfer ...

Abstract: We consider a generalization of the Laplace transform of Poisson shot noise defined as an integral transform with respect to a matrix exponential. We denote this as the matrix Laplace ...

Commonly, in Ordinary Differential Equations courses, equations with impulses or discontinuous forcing functions are studied. In this context, the Laplace Transform of the Dirac delta function and ...

Taking the solution of the two-dimensional Laplace equation in a specific rectangular region as the research object, the PINN is used to solve the Laplace equation ...

A. W. Phillips analyzed the stabilization policy for a multiplier-accelerator model [1] . Phillips’s stabilization problem is to design an endogenous policy rule capable of recovering the original ...

Approximate a sine function where $x = 1$ with a maximum of 50 function evaluations. The Laplace transform of sine is $h^*(s) = 1 / (s^2 + 1)$. This crate parses a ...