Static decentralized control of a single-integrator network with Markovian sensing topology

Abstract-- Static stabilization of a decentralized discretetime single-integrator network that is subject to Markovian variation in the communication/sensing topology is considered. In particular, we develop conditions on the Markovian topology that are sufficient for mean-square stabilization using a decentralized static controller that has no knowledge of the underlying Markov state. Our analysis exposes a deep connection between decentralized control of single-integrator networks with Markovian topology and those with fixed topology: static stabilization of the network with Markovian topology is possible whenever the steady-state time-average of the Markovian topology is amenable to static (fixed-topologybased) decentralized control.

• Type: Journal
• Year: 2005
• Where: AUTOMATICA
• Authors: Sandip Roy, Ali Saberi
• Keywords: AUTOMATICA 2005, Markovian Topology, Single-integrator Networks, Static Stabilization