Local Input-to-State Stability of Production Networks

In this paper, we analyze a given production network in view of stability, which means boundedness of the state of the network over time. From a mathematical point of view we model the network by differential equations. With help of local input-to-state stability (LISS) Lyapunov functions and a small gain condition we check, if the network is stable. This results in the derivation of conditions for the production rates for which stability of the production network is guaranteed.