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In this course, it addresses dynamic systems, systems that evolve with time. Typically these systems have inputs and outputs, it is of interest to understand how the input affects the output (vice-versa, what inputs should be given to generate the desired output). It will concentrate on systems that can be modeled by Ordinary Differential Equations (ODEs), and that satisfy certain linearity and time-invariance conditions.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

Module 01
Introduction, linear algebra review 00:30:00
Least square estimation 00:15:00
Least square solutions of linear problems 00:10:00
Singular values 00:15:00
Matrix perturbations 00:15:00
Dynamical systems 00:15:00
State-space models 00:25:00
Solutions of state-space models 00:20:00
Transfer functions 00:20:00
I or O stability 00:20:00
Module 02
I or O stability (cont.) 00:10:00
Bode’s sensitivity integral 00:15:00
Robust stability 00:25:00
Reachability and observability 00:20:00
Minimal realizations 00:20:00
Balanced realization 00:20:00
Feedback stabilization 00:25:00
H2 optimization 00:45:00
H∞ optimization 00:20:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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