Master stability function for piecewise smooth Filippov networks?

We consider a network of identical piecewise smooth bimodal systems, also known as systems of Filippov type, that synchronizes along the asymptotically stable periodic orbit of a single agent. We explicitly characterize the fundamental matrix solution of the network along the synchronous solution and extend the Master Stability Function tool to the present case of non-smooth dynamics of Filippov type. (c) 2023 Elsevier Ltd. All rights reserved.

Automated summary

This paper studies a network of identical piecewise smooth bimodal systems, known as systems of Filippov type, which synchronize along the asymptotically stable periodic orbit of a single agent. The fundamental matrix solution of the network along the synchronous solution is explicitly characterized, and the Master Stability Function tool is extended to the case of non-smooth dynamics of Filippov type.