Introduction to Linear Dynamical Systems

Video Lectures

Displaying all 20 video lectures.
Lecture 1
Introduction
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Introduction
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, gives an overview of the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 2
Linear Functions
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Linear Functions
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on linear functions for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 3
LInear Algebra Review
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LInear Algebra Review
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, gives a review of linear algebra for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 4
Orthonormal Sets of Vectors and QR Factorization
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Orthonormal Sets of Vectors and QR Factorization
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on orthonormal sets of vectors and QR factorization for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 5
QR Factorization and Least Squares
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QR Factorization and Least Squares
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on QR factorization and least squares for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 6
Applications of Least Squares
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Applications of Least Squares
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the applications of least squares for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 7
Regularized Least Squares and the Gauss-Newton Method
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Regularized Least Squares and the Gauss-Newton Method
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on regularized least squares and the Gauss-Newton method for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 8
Least Norm Solutions of Undetermined Equations
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Least Norm Solutions of Undetermined Equations
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the least norm solutions of undetermined equations for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 9
Autonomous Linear Dynamical Systems
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Autonomous Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on autonomous linear dynamical systems for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 10
Autonomous Linear Dynamical Systems
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Autonomous Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on autonomous linear dynamical systems and how they relate to Electrical Engineering for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 11
Matrix Exponentials
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Matrix Exponentials
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on how to find solutions via LaPlace transform and the use of matrix exponentials for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 12
Matrix Exponentials, Eigenvectors and Diagonalization
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Matrix Exponentials, Eigenvectors and Diagonalization
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on matrix exponentials, eigenvectors, and diagonalization and their uses in LDS for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 13
Jordan Canonical Form
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Jordan Canonical Form
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on generalized eigenvectors, diagonalization, and Jordan canonical form for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 14
Applications of Jordan Canonical Form
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Applications of Jordan Canonical Form
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the applications of Jordan canonical form in LDS and electrical engineering for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 15
Symmetric Matrices
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Symmetric Matrices
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on inputs and outputs of linear dynamical systems, as well as symmetric matrices for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 16
Symmetric Matrices, Quadratic Forms and Matrix Norm
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Symmetric Matrices, Quadratic Forms and Matrix Norm
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the use of symmetric matrices, quadratic forms, matrix norm, and SVDs in LDS for the course Introduction to Linear Dynamical Systems (EE263).
Lecture 17
Applications of Single Value Decomposition in LDS
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Applications of Single Value Decomposition in LDS
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the applications of single value decomposition in LDS and electrical engineering, Introduction to Linear Dynamical Systems (EE263).
Lecture 18
Applications of SVD, Controllability, and State Transfer in Electrical Engineering
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Applications of SVD, Controllability, and State Transfer in Electrical Engineering
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the applications of SVD, controllability, and state transfer in electrical engineering for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 19
Controllability, and State Transfer in Electrical Engineering (cont.)
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Controllability, and State Transfer in Electrical Engineering (cont.)
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on controllability and state transfer and their uses in modern electrical engineering for the course, Introduction to Linear Dynamical Systems (EE263).
Lecture 20
Observability and State Estimation
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Observability and State Estimation
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, gives his final lecture on observability and state estimation for the course, Introduction to Linear Dynamical Systems (EE263).