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Mathematical modelling on hybrid dynamical systems: An application to the bouncing ball and a two-tanks system

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4 Scopus citations

Abstract

Mathematical modeling of Hybrid Dynamical Systems (HDS) aims for describing in a more complete formulation those behaviors composed by discrete and continuous dynamics. This article develops a detailed mathematical description of two systems which exhibit a hybrid behavior through two different models widely known in the HDS theory: The Switched systems and the Hybrid automaton. In addition, some differences and similarities between them are highlighted.

Original languageEnglish
Title of host publication2010 IEEE ANDESCON Conference Proceedings, ANDESCON 2010
DOIs
StatePublished - 2010
Event2010 IEEE ANDESCON Conference, ANDESCON 2010 - Bogota, Colombia
Duration: 14 Sep 201017 Sep 2010

Publication series

Name2010 IEEE ANDESCON Conference Proceedings, ANDESCON 2010

Conference

Conference2010 IEEE ANDESCON Conference, ANDESCON 2010
Country/TerritoryColombia
CityBogota
Period14/09/1017/09/10

Keywords

  • Bouncing ball
  • Hybrid automaton
  • Hybrid dynamical system
  • Switched systems
  • Two-tanks systems

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