Synchronization over stochastically switching networks with imperfect prior information
Kiyotsugu Takaba · Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications · 2014
This paper is concerned with output synchronization of nonlinear agents over a switching communication network. Under the assumption that the topology of the network is an i.i.d. stochastic process, a sufficient condition for synchronization was derived by Takaba (2012) in terms of a linear matrix inequality including the expected value of graph Laplacians. However, such an expected value may not be available in practical situations, we attempt to extend the above synchronization condition to the case where the expected Laplacian belongs to a prescribed polytopic set. Simulation results are also included.