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Selected Topics in Computational Mathematics

International Joint Certificate Program
on
Selected Topics in Computational Mathematics

The intensive block course “Stability of Large Scale Nonlinear Systems” will be taught by Prof. Sergey Dashkovskiy and Dr. Petro Feketa (University of Würzburg) in the Spring Semester (April 10 – 14, 2017) at Ivan Franko National University of Lviv ( Saksahanskogo str., 1, room 110 ).

 

Schedule

 

09:00-10:30 Lecture

10:30-12:00 Solving Exercises

12:00-12:30 Discussion of solutions

 

12:30-13:30

Lunch

13:30-15:00 Lecture

15:00-16:30 Solving Exercises

16:30-17:00 Discussion of solutions

The main parts of this course are as follows:

1. Introduction to the Input-to-State Stability theory: Definitions, examples, different characterizations, relation to Lyapunov stability theory.

2. Modeling of interconnections and the small-gain theory: Stability conditions will be developed and discussed. Geometric interpretations will be discussed, examples will be considered.

3. Numerical tools to check stability: Verification of stability conditions turns out to be a nontrivial problem in sense of numerical computations. In particular in case of large scale interconnections efficient numerical tools are necessary. A numerical approach to verify stability will be considered at the end of this course.

 

The detailed information concerning JCP “Selected Topics in Computational Mathematics” could be found at: http://www.electronics.lnu.edu.ua/programi/kursimatem/selected-topics-in-computational-mathematics-20162017.html

For enrollment and questions please contact  Yuriy Ishchuk   (yu.ishchuk at gmail.com).

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