The Nyquist Criterion, Stability Notions, and The Argument Principle скачать в хорошем качестве

The Nyquist Criterion, Stability Notions, and The Argument Principle

Stability is one of the most important concepts in control theory. We cover three notions of stability for LTI systems; BIBO stability, L2 Stability, and Exponential Stability. This involves Laplace transforms, the Pailey Wiener Theorem, the Argument Principle, Contour Mappings, and counting how many times a string wraps around the point -1. //Additional Reading Nyquist Stability Criterion slides by Dr. Lenari http://www.diag.uniroma1.it//~lanari/... //Exercises //Watch Next The Other Pailey Wiener Space and Nyquist Sampling Theorem    • Sampling theory and why I reject a lot of ...   The Pailey Wiener Theorem    • The Paley Wiener Theorem and the Inversion...   The Analyticity of the Laplace transform    • Morera's Theorem in Practice - Laplace Tra...   Undergraduate Intro to the Laplace Transform    • MAP2302 - Definition of the Laplace Transf...   A Mature Look at the Laplace transform    • Introduction to the Laplace Transform   Introduction to Control Theory    • Introduction to Control Theory   //Music Provided by Epidemic Sound Under the Impression by Tape Machines Late Nights by Daxten Mayweather by Warmkeys Coffeehouse by Large Video Call from Los Angeles by Trevor Kowalski Textural by Guustavv Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel: https://www.epidemicsound.com/referra... //Books Nonlinear Systems - Khalil https://amzn.to/32Zyk8E Functions of One Complex Variable - Conway https://amzn.to/3M0snu6 Real and Complex Analysis - Rudin https://amzn.to/3riipvZ Real Analysis - Folland https://amzn.to/3ogVuiG Fundamentals of Differential Equations - Nagle, Saff, and Snider https://amzn.to/3qeGD9C Advanced Mathematical Analysis - Beals https://amzn.to/3fn2jdP From Vector Spaces to Function Spaces - Yutaka Yamamoto https://amzn.to/3sU2CVj Feedback Control Theory - Doyle, Francis, Tannenbaum https://amzn.to/3HFvuov Pick Interpolation and Hilbert Function Spaces - Agler and McCarthy https://amzn.to/3EOJU3K Modern Control Systems - Dorf and Bishop https://amzn.to/331JQAm // MATLAB Code https://bitbucket.org/joelrosenfeld/n... //Recording Equipment Canon SL3: https://amzn.to/3nZ11KU Canon T6i: https://amzn.to/3FUpkQh Rode VideoMic: https://amzn.to/3lhldGa Blue Yeti Microphone: https://amzn.to/3I1y88N Yeti Nano Microphone: https://amzn.to/3I1mriA SanDisc 256GB SD Card: https://amzn.to/3E3LOOr Neewer 5600K USB LED Lights: https://amzn.to/3xvB9cN Neewer 18 inch Ring Light: https://amzn.to/2ZvgCsc Camera Power Adapter: https://amzn.to/3D3upUu DISCLAIMER: The links above in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you! 0:00 Start 0:32 What is Stability? 1:51 Bounded Inputs 2:51 Using powerful tools for an easy proof of stability 5:41 The Argument Principle 8:05 The Nyquist Contour 9:16 Contours Prove Stability