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50:27
Lec 27 | MIT 18.03 Differential Equations, Spring 2006
Lec 27 | MIT 18.03 Differential Equations, Spring 2006
Lec 27 | MIT 18.03 Differential Equations, Spring 2006
Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients View the complete course: http://ocw.mit.edu/18-03S06 License: Creative Commo...
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47:11
Lec 31 | MIT 18.03 Differential Equations, Spring 2006
Lec 31 | MIT 18.03 Differential Equations, Spring 2006
Lec 31 | MIT 18.03 Differential Equations, Spring 2006
Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum. View the complete course: http://ocw.mit.edu/...
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65:34
System Dynamics and Control: Module 3 - Mathematical Modeling Part I
System Dynamics and Control: Module 3 - Mathematical Modeling Part I
System Dynamics and Control: Module 3 - Mathematical Modeling Part I
Discussion of differential equations as a representation of dynamic systems. Introduction to the Laplace Transform as a tool for solving differential equations.
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56:46
Multiagent Dynamical Systems
Multiagent Dynamical Systems
Multiagent Dynamical Systems
I will show how to model multiagent systems using dynamical systems theory by deriving a class of macroscopic differential equations that describe mutual ada...
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18:01
Fixed points and stability of a nonlinear system
Fixed points and stability of a nonlinear system
Fixed points and stability of a nonlinear system
Find the fixed points and determines the linear stability of a system of two first-order nonlinear differential equations. Lecture notes at http://www.math.u...
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101:13
Dynamical Systems
Dynamical Systems
Dynamical Systems
Mathematics of Complexity lecture 3 Class description: We've all heard the buzzwords - chaos, fractals, networks, power laws. What do these terms mean in a r...
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47:15
Lecture 6, Systems Represented by Differential Equations | MIT RES.6.007 Signals and Systems
Lecture 6, Systems Represented by Differential Equations | MIT RES.6.007 Signals and Systems
Lecture 6, Systems Represented by Differential Equations | MIT RES.6.007 Signals and Systems
Lecture 6, Systems Represented by Differential Equations Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES-6.007S11 License: Cre...
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9:01
State Space Representation ( Dynamic Systems ) | Mechanical Engineering
State Space Representation ( Dynamic Systems ) | Mechanical Engineering
State Space Representation ( Dynamic Systems ) | Mechanical Engineering
State Space Representation Dynamic Systems.
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53:31
Logical Analysis of Hybrid Systems
Logical Analysis of Hybrid Systems
Logical Analysis of Hybrid Systems
RI Seminar, February 18, 2011 Andre Platzer Assistant Professor, Computer Science Department, Carnegie Mellon University Hybrid systems model cyber-physical ...
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65:52
Lecture 2 | Introduction to Linear Dynamical Systems
Lecture 2 | Introduction to Linear Dynamical Systems
Lecture 2 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on linear functions for the course, Introduction to Linear ...
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79:11
Lecture 3 | Introduction to Linear Dynamical Systems
Lecture 3 | Introduction to Linear Dynamical Systems
Lecture 3 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, gives a review of linear algebra for the course, Introduction to Lin...
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76:19
Lecture 6 | Introduction to Linear Dynamical Systems
Lecture 6 | Introduction to Linear Dynamical Systems
Lecture 6 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the applications of least squares for the course, Introd...
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69:02
Lecture 9 | Introduction to Linear Dynamical Systems
Lecture 9 | Introduction to Linear Dynamical Systems
Lecture 9 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on autonomous linear dynamical systems for the course, Intr...
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71:42
Lecture 10 | Introduction to Linear Dynamical Systems
Lecture 10 | Introduction to Linear Dynamical Systems
Lecture 10 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on autonomous linear dynamical systems and how they relate ...
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68:55
Lecture 11 | Introduction to Linear Dynamical Systems
Lecture 11 | Introduction to Linear Dynamical Systems
Lecture 11 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on how to find solutions via LaPlace transform and the use ...
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73:37
Lecture 12 | Introduction to Linear Dynamical Systems
Lecture 12 | Introduction to Linear Dynamical Systems
Lecture 12 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on matrix exponentials, eigenvectors, and diagonalization a...
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73:01
Lecture 13 | Introduction to Linear Dynamical Systems
Lecture 13 | Introduction to Linear Dynamical Systems
Lecture 13 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on generalized eigenvectors, diagonalization, and Jordan ca...
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69:01
Lecture 15 | Introduction to Linear Dynamical Systems
Lecture 15 | Introduction to Linear Dynamical Systems
Lecture 15 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on inputs and outputs of linear dynamical systems, as well ...
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18:44
Homogeneous Systems of Linear Equations - Intro to Eigenvalue/Eigenvector Method
Homogeneous Systems of Linear Equations - Intro to Eigenvalue/Eigenvector Method
Homogeneous Systems of Linear Equations - Intro to Eigenvalue/Eigenvector Method
Gives an overview of the notation and terminology used when working with linear systems of differential equations. Outlines the method to be used for finding eigenvalues and eigenvectors, which provide solutions for a system of equations.
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14:48
Differential Equations - Solve Linear System using Laplace transforms
Differential Equations - Solve Linear System using Laplace transforms
Differential Equations - Solve Linear System using Laplace transforms
Solve the system: dx/dt + 3x + dy/dt = 1, dx/dt - x + dy/dt - y = e^t, x(0)=0, y(0)=0.
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7:27
Linearizing non-linear dynamic equations
Linearizing non-linear dynamic equations
Linearizing non-linear dynamic equations
In this lecture, we go through the steps of linearizing non-linear differential equations about a given operating/equilibrium point. We will use the multi-va...
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37:52
Partial differential equation
Partial differential equation
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives....
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40:08
Differential Equations, The Exponential Map Perspective - Lecture 7
Differential Equations, The Exponential Map Perspective - Lecture 7
Differential Equations, The Exponential Map Perspective - Lecture 7
The seventh in a series of lectures which will examine differential equations from the perspective of the exponential map. The seventh lecture continues with...