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Linear System Theory - 05 The geometry of vector spaces - part 1/2
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Linear System Theory
Prof. Dr. Georg Schildbach, University of Lübeck
Fall semester 2020/21
05. The geometry of vector spaces - part 1/2 (norm, Cauchy sequence, completeness)
Link to lecture slides:
(Copyright by Prof. Dr. Georg Schildbach)
Course contents:
00. Organization
01. Introduction
02. Vectors and matrices
03. Linear programming
04. The algebra of vector spaces
05. The geometry of vector spaces
06. Matrices as linear maps
07. The eigenstructure of matrices
08. Functions of a square matrix
09. State space models
10. Hermitian matrices and positive definiteness
11. Singular value decomposition and operator norms
12. Stability of state space models
13. Controllability and observability
14. State feedback and observer design
15. Optimal control and estimation
Prof. Dr. Georg Schildbach, University of Lübeck
Fall semester 2020/21
05. The geometry of vector spaces - part 1/2 (norm, Cauchy sequence, completeness)
Link to lecture slides:
(Copyright by Prof. Dr. Georg Schildbach)
Course contents:
00. Organization
01. Introduction
02. Vectors and matrices
03. Linear programming
04. The algebra of vector spaces
05. The geometry of vector spaces
06. Matrices as linear maps
07. The eigenstructure of matrices
08. Functions of a square matrix
09. State space models
10. Hermitian matrices and positive definiteness
11. Singular value decomposition and operator norms
12. Stability of state space models
13. Controllability and observability
14. State feedback and observer design
15. Optimal control and estimation
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