Lecture

Inverse Laplace Transform

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

In course

ME-221: Dynamical systems

Provides the students with basic notions and tools for the analysis of dynamic systems. Shows them how to develop mathematical models of dynamic systems and perform analysis in time and frequency domains. ...

Description

This lecture covers the Inverse Laplace Transform, which aims to find a projection from the Laplace domain to the time domain. Topics include Laplace Transform, Laplace Transform Table, Partial Fraction Expansion, and examples demonstrating the calculation of residues.

Instructor

Mahmut Selman Sakar

Expertise robotics, mechanobiology, microtechnology, smart materials, biomedical devices Teaching & PhD PhD Students Lorenzo Francesco John Noseda, Nikita Norkin, Elif Ezgi Inan, Houman Javaheri, Mehdi Ali Gadiri, Julian Leon Raub, Junsun Hwang Past EPFL PhD Students Erik Mailand, Raquel Filipa Penacho Parreira, Murat Kaynak, Lucio Pancaldi-Giubbini, Fazil Emre Uslu, Matthias Rüegg, Ece Özelçi, Emilie Vuille-Dit-Bille Past EPFL PhD Students as codirector Laura Joan Hermans, Sourabh Monnappa Kuppanda Jafri

Official source

Related concepts (32)

Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. The term "ordinary" is used in contrast with partial differential equations which may be with respect to one independent variable. A linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where a_0(x), .

Garden tool

A garden tool is any one of many tools made for gardening and landscaping, which overlap with the range of tools made for agriculture and horticulture. Garden tools can be divided into hand tools and power tools. Hand tool Today's garden tools originated with the earliest agricultural implements used by humans. Examples include the hatchet, axe, sickle, scythe, pitchfork, spade, shovel, trowel, hoe, fork, and rake. In some places, the machete is common. The earliest tools were made variously of wood, flint, metal, tin, and bone.

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

Linear differential equation

In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where a0(x), ..., an(x) and b(x) are arbitrary differentiable functions that do not need to be linear, and y′, ..., y(n) are the successive derivatives of an unknown function y of the variable x. Such an equation is an ordinary differential equation (ODE).

Machine tool

A machine tool is a machine for handling or machining metal or other rigid materials, usually by cutting, boring, grinding, shearing, or other forms of deformations. Machine tools employ some sort of tool that does the cutting or shaping. All machine tools have some means of constraining the workpiece and provide a guided movement of the parts of the machine. Thus, the relative movement between the workpiece and the cutting tool (which is called the toolpath) is controlled or constrained by the machine to at least some extent, rather than being entirely "offhand" or "freehand".

Related lectures (64)

Fourier Transform: LTI Systems

Explores the Fourier transform application to LTI systems, including frequency response, convolution, differentiation, and solving differential equations.

Partial Fraction Expansion

Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.

Introduction to MATLAB Tools and Installation

Covers the introduction to MATLAB tools and provides installation instructions for Thermodynamics-based Flux Analysis, including pre-requirements like GIT and CPLEX.

Laplace Transform Application: LTI Systems

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Dynamical Systems: Laplace Transform