ELEC 602  Linear Systems
Instructor: Abdulrahman Kalbat
Grading Policy:
5% Active Participation
25% Homework
25% Midterm Exam
15% Final Presentation
30% Final Exam
Description
Syllabus:
Course overview, systems overview, linear algebra, matrix theory
Linear time invariant systems
Open loop aspects: Controllability, Observability, Canonical forms
Stability analysis
State feedback
State estimation
Linear time varying systems
Main textbook:
ChiTsong Chen, “Linear System Theory and Design”, 4th International Edition, Oxford University Press, 2014
Recommended References:
Thomas Kailath, “Linear Systems”, 1st Edition, PrenticeHall, 1980
Gilbert Strang, “Introduction to Linear Algebra”, 5th Edition, WellesleyCambridge Press, 2016
Gilbert Strang, “Introduction to Linear Algebra”, 4th Edition, WellesleyCambridge Press, 2009
Course Materials
Version 1 (Fall 2016)
 Lecture Notes
Lecture 1: Systems Overview, Linear Time Invariant Systems, Linear Algebra
Lecture 2: Systems, State Space Models, Time Response, Matrix Exponential
Lecture 3: Cayley Hamilton Theorem, From TF to SS and Vice Versa
Lecture 4: Controllability, Observability, Canonical Forms
Lecture 5: Canonical Forms, Minimal Realizations, From SS to DE Directly
Lecture 6: Jordan Canonical Form
Lecture 7: Internal, BIBO and Lyapunov Stability
Lecture 8: State Feedback
Lecture 9: State Estimation, State Feedback + State Estimator
Lecture 10: State Feedback + State Estimator
 Homework
Version 2 (Fall 2019)
 Detailed Course Outline for Fall 2019
 Lecture Notes
Lecture 1: Systems Overview, Linear Time Invariant Systems, Linear Algebra
Lecture 2: Systems, State Space Models, Time Response, Matrix Exponential
Lecture 3: Cayley Hamilton Theorem, From TF to SS and Vice Versa
Lecture 4: Controllability, Observability, Canonical Forms
Lecture 5: Canonical Forms, Minimal Realizations, From SS to DE Directly
Lecture 6: Jordan Canonical Form
Lecture 7: Internal, BIBO and Lyapunov Stability
Lecture 8: State Feedback
Lecture 9: State Estimation
Lecture 10: State Feedback + State Estimator
Lecture 11: Linear Time Varying Systems
 Homework
