Course Name Code Semester T+U Hours Credit ECTS
Linear Systems Theory BSM 605 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Doctorate Degree
Course Type Compulsory
Course Coordinator Doç.Dr. DEVRİM AKGÜN
Course Lecturers Doç.Dr. DEVRİM AKGÜN,
Course Assistants
Course Category
Course Objective
To be able to teach state space forms which are the basis of communication, control and signal processing, to be able to analyze controllability and observability by using state space forms, to have knowledge about discrete time state space forms
 
Course Content

Mathematical notations, state equations, transition matrices and their properties, controllability and observability, theory of feasibility, input-output stability, controller and observer forms

# Course Learning Outcomes Teaching Methods Assessment Methods
1 To be able to teach state space forms which are the basis of communication Lecture, Question-Answer, Group Study, Self Study, Testing, Homework,
2 To be able to analyze controllability and observability by using state space forms Lecture, Question-Answer, Drilland Practice, Self Study, Testing, Homework,
3 To have knowledge about discrete time state space forms Lecture, Question-Answer, Drilland Practice, Self Study, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Classification of Systems
2 Eigenvalue, eigenvector
3 State-space representation
4 State-space representation
5 Derivation of state-space models and canonical models
6 Derivation of state-space models and canonical models
7 Coordinate conversions and matrix polynoms
8 Analysis of linear systems
9 Midterm exam
10 Analysis of linear systems
11 Linearisation and discrete conversion
12 Linearisation and discrete conversion
13 State-space modeling of discrete systems
14 State-space modeling of discrete systems
Resources
Course Notes
Course Resources

-Linear System Theory, Wilson J. Rugh, Pearson Education; 2nd edition, 1995
-Introduction to Mathematical Systems Theory, Jan Willem Polderman and Jan C. Williems, Springer, 1998.
-Notes for a second course on linear systems, C.A. Desoer, Van Nostrand Publishing Co., New York, 1970.
-Mathematical System Theory, R. E. Kalman, P.L. Falb, M.A. Arbib, McGrow-Hill, 1969.

Order Program Outcomes Level of Contribution
1 2 3 4 5
1 ability to access wide and deep information with scientific researches in the field of Engineering, evaluate, interpret and implement the knowledge gained in his/her field of study X
2 ability to complete and implement “limited or incomplete data” by using the scientific methods. X
3 ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to them X
4 ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or process X
5 gain comprehensive information on modern techniques, methods and their borders which are being applied to engineering X
6 ability to design and apply analytical, modelling and experimental based research, analyze and interpret the faced complex issues during the design and apply process X
7 gain high level ability to define the required information and data X
8 ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situations X
9 systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
10 aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation and announcement X
11 aware of new and developing application of profession and ability to analyze and study on those applications X
12 ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 50
1. Ödev 15
2. Ödev 15
3. Ödev 20
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 12 12
Final examination 1 15 15
Assignment 4 8 32
Total Workload 155
Total Workload / 25 (Hours) 6.2
dersAKTSKredisi 6