Laplacetekniikoita
Laplacetekniikoita, known in English as Laplace transforms, are a mathematical tool used to simplify the analysis of linear, time-invariant systems. Developed by Pierre-Simon Laplace, this technique transforms a function of time, often representing a signal or system response, into a function of a complex frequency variable, typically denoted by 's'. This transformation converts differential equations, which describe systems in the time domain, into algebraic equations in the frequency domain.
The core of the Laplace transform is an integral that converts the time-domain function f(t) into its
Laplace transforms are widely applied in various engineering and scientific disciplines. They are fundamental in control