Course Information

Course Name	Turkish	Sistem Kuramı
	English	System Theory
Course Code	ELE 514E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
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. CONTENTS: 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: Stability 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
Pre-requisite(s)
Required Facilities
Other
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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