1. Modeling and Simulation of linear dynamical systems using open tools Zoltán Magyar Tomáš Starý Ladislav Szolik Ľudovít Vörös Katar ína Žáková

2. Introduction  subject Control Theory  topic Modeling of linear systems  2 nd year in Industrial Informatics  3 forms of description of linear systems  differential equation  transfer function  state space representation  orientation to open technologies

3. Benefits of Open Technologies  not necessary to pay licences – completely free – solution for schools  European Union supports open source used in learning and education – Neelie Kroes: “Being open about standards”, June 2008  can be transformed to online applications used via web browser – not necessary local installation

4. About our application  Our project - separated into two parts  Server and web application  Its core consists of three open source computer algebra systems (CAS)  Maxima, OpenModelica, SciLab

5. Server  linux server  Stability  Security  Jailkit  Free

6.  manipulation with symbolic and numerical expressions  differentiation, integration, Taylor series  Laplace transforms  ordinary differential equations  systems of linear equations  polynomials and sets, lists, vectors, matrices, and tensors Maxima

7. Web user interfaces

8. The communication

9.  2D plotting and simple 3D visualization.  Modelica 3.0 parsing support.  Export of DAE to XML and MATLAB.  Additional free graphic editor  SimForge can be used with  OpenModelica.  differentiation, integration,  ordinary differential equations  systems of linear equations OpenModelica

10. The communication

11. Realization

12. SciLab  Scilab is a scientific software package for numerical computations  2-D and 3-D graphics  Polynomials and rational functions  Genetic algorithms  Graphs and networks  Statistics  Interfaces for several other applications  Modeling and simulation of hybrid dynamic systems (Scicos)

13. Principle of the communication Client.phpServer.phpSciLab.sce End-users web browser

14. Conclusion  alternative way to build virtual laboratory  offer access through command line  use the engine in frame of other applications

15. Thank you for your attention