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Well-Posedness of a Class of Piecewise Affine Systems

  • Jun-ichi Imura
Chapter
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Part of the Trends in Mathematics book series (TM)

Abstract

The well-posedness problem (existence and uniqueness of solutions) of a class of piecewise affine (PWA) systems is addressed. First, two kinds of discrete transition rules, i.e., the mode-based rule and the switch-based rule, are introduced to define the concept of solutions of PWA systems. Next, after several fundamental tools for the well-posedness analysis are given, necessary and/or sufficient conditions for the system to be well-posed are presented.

Keywords

Hybrid systems Piecewise affine systems Well-posedness Transition rule Switches 

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Jun-ichi Imura
    • 1
  1. 1.Department of Mechanical and Environmental Informatics Graduate School of Information Science and EngineeringTokyo Institute of TechnologyTokyoJapan

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