Introduction to Linear Dynamical Systems

Stephen Boyd
  • 0.0 (0)
  • EDUCATION
Introduction to Linear Dynamical Systems

Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Topics include: Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and dynamical interpretation. Matrix exponential, stability, and asymptotic behavior. Multi-input multi-output systems, impulse and step matrices; convolution and transfer matrix descriptions. Control, reachability, state transfer, and least-norm inputs. Observability and least-squares state estimation.

  1. 09/07/2008 · VIDEO

    1. Linear Dynamical Systems Lecture 1

    Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, gives an overview of the course, Introduction to Linear Dynamical Systems (EE263).

    4 sec

  2. 09/07/2008 · VIDEO

    2. Linear Dynamical Systems Lecture 2

    Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on linear functions for the course, Introduction to Linear Dynamical Systems (EE263).

    3 sec

  3. 09/07/2008 · VIDEO

    3. Linear Dynamical Systems Lecture 3

    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).

    4 sec

  4. 09/07/2008 · VIDEO

    4. Linear Dynamical Systems Lecture 4

    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).

    4 sec

  5. 09/07/2008 · VIDEO

    5. Linear Dynamical Systems Lecture 5

    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).

    4 sec

  6. 09/07/2008 · VIDEO

    6. Linear Dynamical Systems Lecture 6

    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).

    4 sec

  7. 09/07/2008 · VIDEO

    7. Linear Dynamical Systems Lecture 7

    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).

    4 sec

  8. 09/07/2008 · VIDEO

    8. Linear Dynamical Systems Lecture 8

    Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the Gauss-Newton method and the least norm solutions of undetermined equations for the course, Introduction to Linear Dynamical Systems (EE263).

    4 sec
See All (20)

About

Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Topics include: Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and dynamical interpretation. Matrix exponential, stability, and asymptotic behavior. Multi-input multi-output systems, impulse and step matrices; convolution and transfer matrix descriptions. Control, reachability, state transfer, and least-norm inputs. Observability and least-squares state estimation.

Information

More From Stanford

To listen to explicit episodes, sign in.

Stay up to date with this show

Sign in or sign up to follow shows, save episodes and get the latest updates.
Select a country or region

Africa, Middle East, and India

Asia Pacific

Europe

Latin America and the Caribbean

The United States and Canada