Lecture

Impulse Response and Laplace Transform

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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 concepts of impulse response and Laplace transform in dynamical systems. It starts with the definition of the unit step function and its utility in signal extraction. The lecture then delves into the properties of impulse signals, including time shifts and formal definitions. It explains the physical interpretation of impulse functions in modeling short-time physical signals. The lecture also discusses the convolution integral, linear time-invariant systems, and the output of such systems. It concludes with examples illustrating the convolution of signals and the application of Laplace transform in finding the output for a given input.

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

Ontological neighbourhood

Information engineering

Control theory and engineering: Control theory

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