Course Overview: Applied Linear Algebra & Linear Dynamical SystemsIntroduction to Linear Dynamical Systems · Lec 1·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:16:46
Linear Functions, Superposition & Matrix RepresentationsIntroduction to Linear Dynamical Systems · Lec 2·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:05:52
Linear Algebra Review: Range, Nullspace & Matrix FactorizationsIntroduction to Linear Dynamical Systems · Lec 3·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:19:10
Linear SystemsControl Bootcamp: Linear Systems & Optimal Control · Lec 2·Linear Algebra · Steve Brunton · University of WashingtonSteve BruntonUniversity of Washington—24:47
Orthonormal Sets of Vectors, Gram-Schmidt & QR FactorizationIntroduction to Linear Dynamical Systems · Lec 4·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:14:08
QR Factorization & Least-Squares Approximation of Overdetermined SystemsIntroduction to Linear Dynamical Systems · Lec 5·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:15:14
Stability and EigenvaluesControl Bootcamp: Linear Systems & Optimal Control · Lec 3·Linear Algebra · Steve Brunton · University of WashingtonSteve BruntonUniversity of Washington—19:30
Applications of Least-Squares Estimation: System Identification & FilteringIntroduction to Linear Dynamical Systems · Lec 6·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:16:19
Least-Norm Solutions of Underdetermined EquationsIntroduction to Linear Dynamical Systems · Lec 8·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:15:58
Autonomous Linear Dynamical SystemsIntroduction to Linear Dynamical Systems · Lec 9·Linear Algebra · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:09:02
Autonomous Linear Dynamical Systems in Electrical EngineeringIntroduction to Linear Dynamical Systems · Lec 10·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:11:42
Degrees of Controllability and GramiansControl Bootcamp: Linear Systems & Optimal Control · Lec 6·Linear Algebra · Steve Brunton · University of WashingtonSteve BruntonUniversity of Washington—15:24
Matrix Exponentials, Eigenvectors, and Diagonalization in LDSIntroduction to Linear Dynamical Systems · Lec 12·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:13:37
Generalized Eigenvectors, Diagonalization, and Jordan Canonical FormIntroduction to Linear Dynamical Systems · Lec 13·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:13:02
Applications of Jordan Canonical Form in LDS and Electrical EngineeringIntroduction to Linear Dynamical Systems · Lec 14·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:17:43
Applications of Singular Value Decomposition in LDS and Electrical EngineeringIntroduction to Linear Dynamical Systems · Lec 17·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:16:52
Inputs, Outputs, and Symmetric Matrices in Linear Dynamical SystemsIntroduction to Linear Dynamical Systems · Lec 15·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:09:01
Symmetric Matrices, Quadratic Forms, Matrix Norm, and SVDs in LDSIntroduction to Linear Dynamical Systems · Lec 16·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:12:35
Observability and State EstimationIntroduction to Linear Dynamical Systems · Lec 20·Linear Algebra · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:09:25
Applications of SVD, Controllability, and State Transfer in Electrical EngineeringIntroduction to Linear Dynamical Systems · Lec 18·Control & Dynamical Systems · Stephen Boyd · Stanford UniversityStephen BoydStanford University—1:15:14