Input-to-State Stability Analysis of a Class of Interconnected Nonlinear Systems
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.
KeywordsIEEE Transaction Singular Perturbation Interconnected System Singular Perturbation Theory Bounded Input
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