Linear Systems (EE 571)

2021 Fall
Faculty of Engineering and Natural Sciences
Electronics Engineering(EE)
3
10.00
Mustafa Ünel -munel@sabanciuniv.edu,
English
Doctoral, Master
--
Formal lecture
Interactive,Simulation
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CONTENT

Gives the fundamental theory of linear dynamical systems in both continuous and discrete time. The course covers state- space representations, vector spaces, linear operators, eigenvalues and eigenvectors, functions of vectors and matrices, solutions to state equations, stability, controllability, observability, realization theory, feedback and observers.

OBJECTIVE

This course is intended for first year graduate students to present the fundamental concepts of the linear systems theory.

LEARNING OUTCOME

After taking this course, a successful graduate student must have a solid background in linear system theory which can be applied to many engineering problems such as control, signal processing, vision and robotics. In particular, students should be able to:

1. Classify systems and develop Input/Output and State-Space representations for systems
2. Use vector space ideas, matrices and their functions
3. Check controllability and the observability of a linear system
4. Check the external and the internal stability of a system
5. Design linear state feedback control
6. Estimate states of a dynamical system using various observers

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Final 35
Midterm 35
Homework 30

RECOMENDED or REQUIRED READINGS

Textbook

- Chen, C.-T., Linear System Theory and Design, 3rd Edition, Oxford University Press, 1999

Readings

- Rugh, J. W., Linear System Theory, 2nd Edition, Prentice-Hall, 1996
- Antsaklis, P. J., Michel A. N. Linear Systems, Birkhouser, 2006