Zentrum für Technomathematik
نویسندگان
چکیده
The construction of an input-to-state stability (ISS) Lyapunov function for networks of ISS system will be presented. First we construct ISS Lyapunov functions for each strongly connected component, then what remains is a cascade (or disconnected aggregation) of these strongly connected components. Using known results the constructed Lyapunov functions can be aggregated to one single ISS Lyapunov function for the whole network. The Lyapunov function construction for the strongly connected components basically depends on two steps: The construction of a function to the positive orthant in R n and the combination of the given ISS Lyapunov functions of the subsystems to a common ISS Lyapunov function for the composite system.
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