Linear dynamical systems

About the course

Aims

Linear systems theory is one of the fundaments upon which many methods for control systems analysis and design are based. This course aims at consolidating knowledge about linear, time-invariant systems to multivariable time-varying systems (LTV). One of the course objectives is to provide a solid theoretical basis for linear, finite-dimensional systems, necessary to follow much of the scientific literature in connected fields. 

Content 

• Introduction. State equations. Linearization. Transition matrix.

• Time variant and periodic systems. Discrete time state equations.

• Stability. Lyapunov criteria.

• Controllability and observability. Canonical state space models.

• Realizability and minimal realizations. Input output models.

• Linear state feedback.

Method of evaluation

Pass/Fail grade. To get a Pass grade, the student must submit attempts to all assignments and exercises, must also pass the final take-home exam, and actively participate in lectures. The final exams will be handed out on the last day of class and the submissions are due two days later. 

Format of course meetings

Blended learning techniques: flipped classrooms, quizzes, discussion panels, weekly meetings, weekly exercises, hand in assignments. 

Prerequisites

Matrix analysis, basics in communication, systems and control background, basics in signal processing.

More information

The course is offered every other year (even-numbered calendar year). Canvas is used as online learning platform. For more information contact