Mathematical Models and their Applications

Course Code:
11MMJ
Academic Degree:
master
Study Programme:
Technology in Transportation and Telecommunications (N 3710)
semesterlanguagestudy field / specialization
3czech, englishIS Intelligent Transport Systems - 3711T004
Erasmus:
course for Erasmus and Exchange students in winter semester
Form of Study:
full-time
Credits:
4
Number of Hours:
2 + 2 hours per week - in full-time study
Type of Course:
obligatory
Course Completion:
credit, exam
Course Tutor:
 
roh  Lectures:
doc. Ing. Ivan Nagy, CSc.
roh  Training Course:
doc. Ing. Ivan Nagy, CSc.
Supervising Department:
Department of Applied Mathematics (16111)
Keywords:
Differential and difference equations, stochastic process, regression model, state space model, estimation, application of dynamic models.
Abstract:
This subject gives a preparation for introduction of the notions of stochastic model, its estimation and its use for prediction and control. It involves the basic elements from the theory of regression and state space modelling and the basic tasks connected with them. They are e.g. the state obseravation task and the pole assignment task. In the end, several specific examples, using the models introduced, will be listed. The applications will aim at the transportation area.
Objectives:
To give the basic knowledge about the dynamic systems, their modelling and their exploitation for the basic tasks of the systemtheory. Illustration of applications of modern methods in the process of analysis and decision making in transportation problems.