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The Laplace Transform and the Important Role it Plays

Get the map of control theory: https://www.redbubble.com/shop/ap/550... Download eBook on the fundamentals of control theory (in progress): https://engineeringmedia.com If you have no idea why I'm writing a book I explain it all here:    • The Fundamentals of Control Theory   This revision fixes the following errors and suggestions that were found by my readers: A few random typos and grammatical fixes: https://fundamentalsofcontroltheory.a.... https://fundamentalsofcontroltheory.a.... https://fundamentalsofcontroltheory.a.... https://fundamentalsofcontroltheory.a.... Updated one of the images that was a bit confusing: https://fundamentalsofcontroltheory.a.... Added the book revision to the page footer: https://fundamentalsofcontroltheory.a.... Changed the imaginary variable symbol from 'i' to 'j' to be consistent across the book This update continues the journey of understanding transfer functions. Section 2.6 is the only major addition to this revision. I struggled with this section (re-wrote it several times and I'm still not thrilled about the final product) so please write a ticket for any errors, confusions, or missing content so that I can improve this section over time. This section covers the Laplace transform - one of the most important concepts in system analysis and theory. Rather then walk through how to perform the integral (I leave that for the math classes) this section walks through a way to understand the Laplace transform at an intuitive level. This is the final basic concept that is needed to fully understand transfer functions, which we'll close out in the next book release. Thank you for all of your support and I hope this helps you on your quest to understand control theory on a more intuitive level. Cheers!