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Course Information

Course Name
Turkish Sistem Kuramı
English System Theory
Course Code
ELE 514E Credit Lecture
Semester -
3 3 - -
Course Language English
Course Coordinator Özkan Karabacak
Course Objectives Understanding basic concepts in linear systems theory
Modelling systems using linear state-space representation
Obtaining the solutions of linear systems
Understanding qualitative properties of linear systems
Course Description This course is an introduction to linear systems theory. Basic concepts like state transition matrix, controllability, observability, minima realization are introduced and students should provide a proof of their understanding in homeworks that contain anayltical proofs as well as MATLAB exercises.
General definition of dynamical systems
Linearity and time-invariance
State-space representations of linear systems
Quantitative analysis of linear systems:
Solutions to LTV systems
Solutions to LTI systems
Linearization of nonlinear systems around a nominal solution
Qualitative analysis of linear systems:
Controllability and state feedback
Observability and output feedback
Realization and minimal realization
Geometric theory of linear systems
Controllable and observable subspaces
Stabilizability conditions in terms of
Course Outcomes General understanding of dynamical systems
Ability to obtain solutions of linear systems analytically
Understanding general notions in linear systems theory
Ability to construct stabilizing feedback systems
Required Facilities
Textbook Hespanha, J.P., Linear Systems Theory, Princeton University Press, 2009.
Other References Rugh, W.J., Linear System Theory, 2nd ed., Prentice Hall, 1996.
Polderman, J.W. and & Willems, J.C., Introduction to Mathematical System Theory, Springer-Verlag, 1997.
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