Networks of Dissipative Systems pp 29-39 | Cite as
Case Studies
Abstract
This chapter illustrates the equilibrium-independent stability analysis technique of the previous chapter with four case studies. The first one is a biochemical reaction network with a cyclic interconnection structure. The second one is a vehicle platoon where the motion of the vehicles is coordinated with relative position feedback. The third one is Internet congestion control with decentralized user and router algorithms. The vehicle platoon and congestion control examples exhibit a skew-symmetric coupling structure which means that passivity of the subsystems guarantees network stability. The fourth case study on population dynamics studies interaction structures between multiple species described by cactus graphs.
Keywords
Congestion Control Router Algorithm User Algorithm Biochemical Reaction Network Cactus GraphReferences
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