On constructing Lyapunov functions for multi-agent systems

• Hongwei Zhang ^[1] ; Zhongkui Li ^[2] ; Zhihua Qu ^[3] ; Frank L. Lewis ^[4]
  1. [1] Southwest Jiaotong University

     Southwest Jiaotong University

     China

     
  2. [2] Peking University

     Peking University

     China

     
  3. [3] University of Central Florida

     University of Central Florida

     Estados Unidos

     
  4. [4] University of Texas at Arlington

     University of Texas at Arlington

     Estados Unidos

     

  Mostrar afiliaciones +
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 58, 2015, págs. 39-42
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Lyapunov equations that depend on communication graph topologies provide building blocks of Lyapunov functions, which play an important role in controller design and stability analysis of multi-agent systems. However, construction of such a Lyapunov equation in some published works has a flaw or requires unnecessarily strong graph conditions. This paper presents several choices of Lyapunov equations over various graph topologies.