Information Package / Course Catalogue
Linear System Theory II
Course Code: EEE601
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: English
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

This course is intended to provide knowledge to the students in the fundamental concepts of linear system theory such as state-space linear systems and realization; system design; stability, controllability, and observability; state feedback, state estimation, and realization.

Course Content

State-space equation and state-space linear systems; linearization; LTV and LI systems; Jordan canonical form; system realization; stability, controllability, and observability of linear systems; system design

Name of Lecturer(s)
Learning Outcomes
1.To learn system representation.
2.To learn system stability and controllability.
3.To learn state feedback of the systems.
4.To learn system’s state estimation, and realization.
5.To analysis system stability and controllability
Recommended or Required Reading
1.J.P. Hespanha. Linear Systems Theory, Princeton Press, 2009.
2.Chen C.T., Linear System Theory and Design, HRW, 1984.
3.G. Strang, Linear Algebra and its Applications, 4th Ed. Brooks/Cole, 2006.
4.Kailath T., Linear Systems, Prentice Hall, 1980.
5.C.A. Desoer, Notes for a Second Course on Linear Systems, Van Nostrand Reinhold, 1970.
6.S. Axler, Linear Algebra Done Right, Springer, 1997.
7.Decarlo R.A., Linear Systems: A state variable approach with numerical implementation, Prentice Hall, 1989.
Weekly Detailed Course Contents
Week 1 - Theoretical
Hespanha, Ch.1: State-space linear systems-C2: Linearization
Week 2 - Theoretical
Hespanha, Ch.3: Causality, time invariance, and linearity
Week 3 - Theoretical
Hespanha, Ch.4: Impulse response and transfer function of state-space systems
Week 4 - Theoretical
Hespanha, Ch.5: Solutions to LTV systems
Week 5 - Theoretical
Hespanha, Ch.6: Solutions to LTI systems
Week 6 - Theoretical
Hespanha, Ch.7: Solutions to LTI systems (Jordan form)
Week 7 - Theoretical
Hespanha, Ch.8: Internal or Lyapunov stability
Week 8 - Theoretical
Review, Midterm Exam
Week 9 - Theoretical
Hespanha, Ch.9: Input-output stability
Week 10 - Theoretical
Hespanha, Ch.10: Review of optimal control
Week 11 - Theoretical
Hespanha, Ch.11: Controllable and reachable subspaces
Week 12 - Theoretical
Hespanha, Ch.12: Controllable systems
Week 13 - Theoretical
Hespanha, Ch.13: Controllable decompositions
Week 14 - Theoretical
Hespanha, Ch.14-15: Stability and Observability
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Term Assignment1%70
Quiz1%5
Midterm Examination1%20
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory1493168
Assignment1628
Term Project17411
Quiz1516
Midterm Examination1527
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
OÇ-1
4
5
4
5
5
5
4
3
4
4
5
5
OÇ-2
5
5
4
5
5
4
5
4
4
4
5
5
OÇ-3
4
5
4
4
5
5
5
4
4
4
5
5
OÇ-4
4
4
5
5
5
5
5
4
4
4
5
5
OÇ-5
5
4
5
4
4
4
5
4
3
3
5
5
Adnan Menderes University - Information Package / Course Catalogue
2026