Synchronizing coupled semiconductor lasers under general coupling topologies

We consider synchronization of coupled semiconductor lasers modeled by coupled Lang and Kobayashi equations. We first analyze decoupled laser stability, and then characterize synchronization conditions of coupled laser dynamics. We rigorously prove that the coupled system locally synchronizes to a limit cycle under the coupling topology of an undirected connected graph with equal in-degrees. Graph and systems theory is used in synchronization analysis. The results not only contribute to analytic understanding of semiconductor lasers, but also advance cooperative control by providing a realworld system of coupled limit-cycle oscillators.