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EEM 541 - Linear Systems Theory I

Instructor: Prof.Altuğ İFTAR
Teaching Assistants:
Course Book: C.T. Chen, Linear System Theory and Design. Holt, Rinehart and Winston, 1984. IMPORTANT NOTE: You have to use the 1984 edition; the other editions do not contain all the material and the section numbers do not match.
Grading:
Other Resources: Class notes (to be given out) and Course videos (links given below). IMPORTANT NOTE: These videos are copyrighted material and they are provided here for the sole use of EEM 541 students. You should not share them with anyone else.
Course Outline:
1. Week

Introduction (Chapter 1 of Chen; see also video ls-1.mp4)


2. Week

Fields and vector spaces (Sections 2.1, 2.2, 2.3 and Appendix B of Chen; see also video ls-2.mp4)


3. Week

Linear operators and matrix representatıons  (Sections 2.4 and 2.5 of Chen; see also video ls-3.mp4)


4. Week

Functions of square opeartors; Norms and inner products (Sections 2.6, 2.7 and 2.8 of Chen; see also video ls-4.mp4 and notes n1.pdf)


5. Week

Input-output modeling (Sections 3.1 and 3.2 of Chen; see also video ls-5.mp4)


6. Week

State-space modeling (Sections 3.3, 3.4, and 3.5 of Chen; see also video ls-6.mp4 (upto page 13))


7. Week

Solutions to state-space equations (Chapter 4 of Chen; see also video ls-6.mp4 (starting with page 14))


8. Week

Composite systems (Section 3.6 of Chen; see also video ls-7.mp4) and Discrete-time Systems (Section 3.7 of Chen and Notes on Discrete-time Systems - Part I)


9. Week

Controllability (Sections 5.1, 5.2, 5.3 and Appendix C of Chen; see also video ls-8.mp4 (upto page 15))


10. Week

Observability  (Section 5.4 of Chen; see also video ls-9.mp4 (upto page 17))


11. Week

Kalman's decompositions and Jordan forms (Sections 5.5 and 5.6 of Chen; see also videos ls-8.mp4 (starting with page 16) and ls-9.mp4 (starting with page 18)) and Controllability and Observability of Discrete-time Systems (Sections 6 through 11 of Notes on Discrete-time Systems and Appendix D of Chen)


12. Week

Realizations (Sections 6.1, 6.2, 6.3 and 6.4 of Chen and Section 12 of Notes on Discrete-time Systems; see also video ls-10.mp4)


13. Week

Input-output stability (Sections 8.1, 8.2, 8.3 and 8.6 (input-output part) of Chen and Section 13 of Notes on Discrete-time Systems; see also video ls-11.mp4)


14. Week

Internal stability (Sections 8.4, 8.5 and 8.6 (state-space part) of Chen and Section 14 of Notes on Discrete-time Systems; see also video ls-12.mp4)


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