Leader-following consensus of a class of stochastic delayed multi-agent systems with partial mixed impulses

• Yang Tang ^[3] ; Huijun Gao ^[1] ; Wenbing Zhang ^[2] ; Jürgen Kurths ^[4]
  1. [1] Harbin Institute of Technology

     Harbin Institute of Technology

     China

     
  2. [2] Yangzhou University

     Yangzhou University

     China

     
  3. [3] University of Science and Technology, Shanghai 200237, China
  4. [4] University of Berlin, Berlin 12489, Germany

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• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 53, 2015, págs. 346-354
• Idioma: inglés
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• Resumen

  • In this paper, the exponential leader-following consensus problem is investigated for a class of nonlinear stochastic networked multi-agent systems with partial mixed impulses and unknown time-varying but bounded delays. The main feature of partial mixed impulses is that time-varying impulses are not only composed of synchronizing and desynchronizing impulses simultaneously but they are also injected into a fraction of nodes in multi-agent systems. Three kinds of partial mixed impulses are proposed: fixed partial mixed impulses, periodic partial mixed impulses, and try-once-discard-like partial mixed impulses. By means of the Lyapunov function theory and the comparison principle, conditions are derived for ensuring global exponential leader-following consensus under the presented three kinds of partial mixed impulses. Simulations of leader-following consensus of robotic systems are provided to validate the effectiveness of the proposed results and to show the advantages of the proposed partial mixed impulses.