Information Package / Course Catalogue
Linear System Theory II
 Course Code : EEE502 Course Type : Area Elective Couse Group : Second Cycle (Master's Degree) Education Language : Turkish Work Placement : N/A
 Theory : 3 Prt. : 0 Credit : 3 Lab : 0 ECTS : 8
Objectives of the Course

This course provides an introduction to linear systems theory covering basic concepts such as system representation, stability, controllability, state feedback, state estimation, and realization.

Course Content

Differential equations: existence and uniqueness, linear differential equations, stability of solutions, variational equation, periodically time-varying differential equations. Difference equations. Dynamical system representations: equivalence, linearity, time-invariance. Differential system representations: impulse response, system function, stability, algebraic equivalence, duality, controllability, observability, realizations. Transform techniques.

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
 1 J.P. Hespanha. Linear Systems Theory . Princeton Press, 2009.
Weekly Detailed Course Contents
Week 1 - Theoretical
System Representation: State-space linear systems
Week 2 - Theoretical
System Representation: Linearization
Week 3 - Theoretical
System Representation: Transfer function
Week 4 - Theoretical
System Solution: Solutions to LTV systems
Week 5 - Theoretical
System Solution: Solutions to LTI systems
Week 6 - Theoretical
System Solution: Solutions to LTI systems (Jordan form)
Week 7 - Theoretical
Stability : Lyapunov stability
Week 8 - Intermediate Exam
Midterm Exam
Week 9 - Theoretical
Stability : Input-output stability
Week 10 - Theoretical
Controllability and State Feedback : Controllable and reachable subspaces
Week 11 - Theoretical
Controllability and State Feedback : Controllable systems
Week 12 - Theoretical
Controllability and State Feedback : Controllable decompositions
Week 13 - Theoretical
Controllability and State Feedback : Stabilizability
Week 14 - Theoretical
Observability and Output Feedback : Observability, Output feedback
Week 15 - Theoretical
Observability and Output Feedback : Minimal realizations
Week 16 - Final Exam
Final Exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%40
Project1%30