Hidden oscillation | Nonlinear control
In control systems theory, the describing function (DF) method, developed by Nikolay Mitrofanovich Krylov and Nikolay Bogoliubov in the 1930s, and extended by Ralph Kochenburger is an approximate procedure for analyzing certain nonlinear control problems. It is based on quasi-linearization, which is the approximation of the non-linear system under investigation by a linear time-invariant (LTI) transfer function that depends on the amplitude of the input waveform. By definition, a transfer function of a true LTI system cannot depend on the amplitude of the input function because an LTI system is linear. Thus, this dependence on amplitude generates a family of linear systems that are combined in an attempt to capture salient features of the non-linear system behavior. The describing function is one of the few widely applicable methods for designing nonlinear systems, and is very widely used as a standard mathematical tool for analyzing limit cycles in closed-loop controllers, such as industrial process controls, servomechanisms, and electronic oscillators. (Wikipedia).
Describing Functions (Discrete Math)
This video covered the various ways to describe functions in a discrete math class.
From playlist Functions (Discrete Math)
What is a Function in Math and Physics? (A more intuitive explanation of Function Definition)
0:00 Introduction 3:35 Examples of functions and why we care 14:55 Make own function 19:12 Definition of a function 21:48 Outro
From playlist Summer of Math Exposition Youtube Videos
Working with Functions (1 of 2: Notation & Terminology)
More resources available at www.misterwootube.com
From playlist Working with Functions
What are the important things to know about the graph of a function
๐ Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
How to determine if an ordered pair is a function or not
๐ Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
๐ Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
๐ Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
๐ Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
๐ Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Building Your Own Dynamic Language
February 14, 2007 lecture by Ian Piumarta for the Stanford University Computer Systems Colloquium (EE 380). Ian describes several significant aspects of the design and implementation of a programming environment that, along with a programming language, exhibits the properties desired of th
From playlist Course | Computer Systems Laboratory Colloquium (2006-2007)
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Video 7: Introduction to Functions
MIT HFH.101 Indian Institutes of Technology Joint Entrance Exam Preparation, Fall 2016 View the complete course: https://ocw.mit.edu/high-school/iit-jee/exam-prep Instructor: Vaibhav Unhelkar In this video, we introduce the topic of functions. We discuss three ways to describe the functio
From playlist MIT Indian Institutes of Technology Joint Entrance Exam Preparation, Fall 2016
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (1 of 92) The Wave Equation
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the Schrodinger equation used to describe the properties of motion, energy, and positions of small particles behaving more like photons than โrealโ particles. Next video in this series can be
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Understanding Longitudinal and Transverse Waves, Wavelength, and Period using Graphs
Four #MechanicalWaves #Graphs are introduced and used to understand and demonstrate #TransverseWaves, #LongitudinalWaves, #Wavelength, and #Period. Want Lecture Notes?ย https://www.flippingphysics.com/wave-graphs.html This is an AP Physics 1 Topic. 0:00 Intro 0:06 The four mechanical wave
From playlist IB Physics 4.2: Traveling Waves
Simone WARZEL - Mathematical challenges and results related to fractional quantum systems
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
16. Describing Functions (continued)
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Quantum Mechanics {Texas A&M: Intro to Materials}
Brief overview of quantum mechanics for materials scientists. What is the significance of the Schroedinger equation? How do the "principle quantum numbers" lead to the organization of the periodic table of elements? Video lecture for Introduction to Materials Science & Engineering (MSEN
From playlist TAMU: Introduction to Materials Science & Engineering | CosmoLearning.org
The measurement problem and some mild solutions by Dustin Lazarovici ( Lecture - 01)
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
Determine if the equation represents a function
๐ Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function