• Yoshio EbiharaEmail author
  • Dimitri Peaucelle
  • Denis Arzelier
Part of the Communications and Control Engineering book series (CCE)


Chapter 1 is dedicated to the origins of the “\(S\)-variable approach.” We trace the contributions of independent authors that participated to establish the fundamentals and justify our choice for the denomination “\(S\)-variable approach.” This attentive detailed study is the occasion to show several interpretations of the \(S\)-variables with respect to technical results such as Finsler’s lemma and elimination lemma . The chapter concludes with the brief exposure of all the problems to be tackled in the remaining part of the book, justifying the importance of these selected problems.


Variable Approach Controller Synthesis Lyapunov Inequality Linear System Analysis Hurwitz Stability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag London 2015

Authors and Affiliations

  • Yoshio Ebihara
    • 1
    Email author
  • Dimitri Peaucelle
    • 2
  • Denis Arzelier
    • 2
  1. 1.Department of Electrical EngineeringKyoto UniversityKyotoJapan
  2. 2.Laboratory for Analysis and Architecture of Systems ScienceNational Centre for Scientific ResearchToulouseFrance

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