Input-to-State Stability Analysis of a Class of Interconnected Nonlinear Systems

  • Jia Wang
  • Xiaobei Wu
  • Zhiliang Xu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3930)


This paper proposes a new definition of string stability with bounded input from the input-to-state view. By viewing the interconnection as a kind of input to a subsystem, it specifies sufficient conditions of string stability for a class of directed circular interconnected nonlinear systems, which is based on the input-to-state stability analysis and singular perturbation theory. The proof is first conducted on a system with two subsystems, and then expanded to finite N subsystems. Furthermore, directed graph is used as an illustrative tool in this paper.


IEEE Transaction Singular Perturbation Interconnected System Singular Perturbation Theory Bounded Input 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Jia Wang
    • 1
  • Xiaobei Wu
    • 1
  • Zhiliang Xu
    • 1
  1. 1.Department of AutomationNanjing University of Science and TechnologyNanjingP.R.C.

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