Hybrid Systems


Organiser

Prof. Anders P. Ravn
Department of Computer Science, Aalborg University
apr@cs.aau.dk, www.cs.aau.dk/~apr

Lecturers Prof. Anders P. Ravn, AAU
Senior Researcher Thomas Bak
Research Center Bygholm, Danish Institut of Agricultural Sciences
Assoc. Prof. Roozbeh Izadi-Zamanabad and Rafal Wisniewski
Department of Control, AAU
ECTS Part I: Introduction to Dynamical Systems, 1.5 ECTS
Part II: Hybrid Systems, 2.5 ECTS
Time Part I: 4-5 April 2005
Part II: 6-8 April 2005
Place Aalborg University, Denmark
Deadline March 31, 2005
Purpose To give participants foundations in theory and tools for Hybrid Systems, i.e. dynamical systems with complex interaction between discrete events and continuous evolutions.
Description It is well known that almost all real systems that we want to model are hybrid: Their behaviour is a mixture of smooth evolutions and instantaneous mode changes. Think for example of a jumping ball, the movements of a vehicle, or the evolution of a biological process. Until recently, the general approach was either to ignore the discrete events and focus solely on conventional dynamical systems or to ignore the evolutions and model the systems as pure discrete event systems. However, neither solution is adequate when we want to model complex phenomena, thus hybridicity.

The school commences with an introduction to conventional dynamical systems. It is aimed at participants with modest prior experience with dynamical systems theory and practice. It is a joint effort with the Dina Research School.

The second part is about theory and tools for modelling hybrid systems. This will involve:

  • Hybrid System Models
  • Properties, e.g. stability and optimality of Hybrid Systems
  • Simulation Tools
  • Analysis Tools
  • Synthesis Techniques

It is a key objective that the participants get hands-on experience with selected tools.

Prerequisites The first part requires a basic understanding of mathematics.
The second part, if followed alone, requires a solid control theory background.
Audience Ph.D. students and researchers.
Sponsor DaNet Topic specific course
 

Introduction

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February 2005