EE 502

Course Code & Number

EE 502

Course Title

Linear System Theory

Level

MS

Credit Hours/ ECTS Credits

(3+0+0) 3 TEDU Credits, 7.5 ECTS Credits

Year of Study:

Master

Semester:

Spring

Type of Course:

Elective

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Pre-requisite / Co-requisite:

Catalog Description

System modeling. Causality. Time-invariance. Linearity. Function of a matrix. Jordan form. Singular value decomposition (SVD). Positive definiteness. Solution of state equations. Equivalence of state representations. Realizations. Stability. Controllability. Observability. State feedback. State observers.

Course Objectives

This course aims to provide students with a comprehensive understanding of linear system theory. Students will explore the principles, concepts, and techniques related to linear systems, equipping them with the tools to analyze and design systems encountered in various fields, including control systems, signal processing, communications, and more.

Course Learning Outcomes

Upon successful completion of this course, students will be able to:
(1) Recall key linear system theory concepts, including causality, time-invariance, linearity, stability, controllability, and observability,
(2) Explain system modeling, causality, time-invariance, linearity, Jordan form, and singular value decomposition (SVD),
(3) Use matrices and functions to show state solutions, and positive definiteness for stability analysis,
(4) Analyze state representations, stability, controllability, and observability in linear systems,
(5) Evaluate state feedback, observers, and methods for stability, controllability, and observability in diverse system models,
(6) Develop state feedback and observers for intricate linear systems, demonstrating matrix function, Jordan form, and SVD interplay.

Course Coordinator:

Aykut Yıldız