Introduction to Linear Dynamical Systems
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Stephen BoydIntroduction to Linear Dynamical SystemsMathematicsStanfordENnoIntroduction 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.false1. Linear Dynamical Systems Lecture 1Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, gives an overview of the course, Introduction to Linear Dynamical Systems (EE263).Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, gives an overview of the course, Introduction to Linear Dynamical Systems (EE263).4331557630Wed, 09 Jul 2008 13:25:39 GMTStephen Boyd1:16:45Advanced MathematicsStanfordno12. Linear Dynamical Systems Lecture 2Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on linear functions for the course, Introduction to Linear Dynamical Systems (EE263).Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on linear functions for the course, Introduction to Linear Dynamical Systems (EE263).4331557636Wed, 09 Jul 2008 13:22:00 GMTStephen Boyd1:05:51Advanced MathematicsStanfordno23. Linear Dynamical Systems Lecture 3Professor 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).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).4331557642Wed, 09 Jul 2008 13:17:23 GMTStephen Boyd1:19:10Advanced MathematicsStanfordno34. Linear Dynamical Systems Lecture 4Professor 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).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).4331557648Wed, 09 Jul 2008 13:13:57 GMTStephen Boyd1:14:07Advanced MathematicsStanfordno45. Linear Dynamical Systems Lecture 5Professor 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).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).4331557654Wed, 09 Jul 2008 13:10:18 GMTStephen Boyd1:15:13Advanced MathematicsStanfordno56. Linear Dynamical Systems Lecture 6Professor 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).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).4331557660Wed, 09 Jul 2008 13:06:53 GMTStephen Boyd1:16:18Advanced MathematicsStanfordno67. Linear Dynamical Systems Lecture 7Professor 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).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).4331557666Wed, 09 Jul 2008 13:02:14 GMTStephen Boyd1:15:45Advanced MathematicsStanfordno78. Linear Dynamical Systems Lecture 8Professor 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).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).4331557672Wed, 09 Jul 2008 12:59:00 GMTStephen Boyd1:15:57Advanced MathematicsStanfordno89. Linear Dynamical Systems Lecture 9Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the least-norm solutions of undetermined equations and autonomous linear dynamical systems for the course, Introduction to Linear Dynamical Systems (EE263Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the least-norm solutions of undetermined equations and autonomous linear dynamical systems for the course, Introduction to Linear Dynamical Systems (EE2634331557678Wed, 09 Jul 2008 12:55:36 GMTStephen Boyd1:09:01Advanced MathematicsStanfordno911. Linear Dynamical Systems Lecture 11Professor 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).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).4331557684Wed, 09 Jul 2008 12:49:12 GMTStephen Boyd1:08:54Advanced MathematicsStanfordno1010. Linear Dynamical Systems Lecture 10Professor 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).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).4331557690Wed, 09 Jul 2008 12:52:27 GMTStephen Boyd1:11:41Advanced MathematicsStanfordno1112. Linear Dynamical Systems Lecture 12Professor 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).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).4331557696Wed, 09 Jul 2008 12:46:04 GMTStephen Boyd1:13:36Advanced MathematicsStanfordno1213. Linear Dynamical Systems Lecture 13Professor 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).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).4331557702Wed, 09 Jul 2008 12:42:51 GMTStephen Boyd1:13:01Advanced MathematicsStanfordno1314. Linear Dynamical Systems Lecture 14Professor 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).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).4331557708Wed, 09 Jul 2008 12:38:36 GMTStephen Boyd1:17:41Advanced MathematicsStanfordno1415. Linear Dynamical Systems Lecture 15Professor 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).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).4331557714Wed, 09 Jul 2008 12:35:10 GMTStephen Boyd1:09:00Advanced MathematicsStanfordno1516. Linear Dynamical Systems Lecture 16Professor 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).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).4331557720Wed, 09 Jul 2008 12:30:18 GMTStephen Boyd1:12:34Advanced MathematicsStanfordno1617. Linear Dynamical Systems Lecture 17Professor 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).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).4331557726Wed, 09 Jul 2008 12:26:41 GMTStephen Boyd1:16:51Advanced MathematicsStanfordno1718. Linear Dynamical Systems Lecture 18Professor 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).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).4331557732Wed, 09 Jul 2008 12:22:49 GMTStephen Boyd1:15:13Advanced MathematicsStanfordno1819. Linear Dynamical Systems Lecture 19Professor 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).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).4331557738Wed, 09 Jul 2008 12:19:13 GMTStephen Boyd1:10:29Advanced MathematicsStanfordno1920. Linear Dynamical Systems Lecture 20Professor 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).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).4331557744Wed, 09 Jul 2008 12:12:51 GMTStephen Boyd1:09:24Advanced MathematicsStanfordno20