Asymptotic properties of consensus-type algorithms for networked systems with regime-switching topologies

Coordinated vehicle platoon control: Weighted and constrained consensus and communication network topologies

“…In the above, the noise W d n is additive. Much more general noise can be treated as demonstrated in [20]. The following assumption is imposed on the network.…”

“…In addition to the switching topology, nonadditive noise was treated and convergence and rates of convergence for the corresponding recursive algorithms were provided. In this paper, we extend some of the useful features of [20]. One of the new significant developments is to treat weighted and constrained consensus.…”

“…Employing and enhancing the averaging consensus control methodologies recently developed by the authors [20], this paper provides a new vehicle control strategy. Algorithms are introduced and their convergence properties are established.…”

“…Control methods include deterministic control [4], [15], stochastic approximation algorithms [1], switching network topologies [2], [5], [8], [10], [12], etc. In our recent work [20], a Markov model is used to treat a much larger class of systems, where the network graph is modulated by a discrete-time Markov chain. In addition to the switching topology, nonadditive noise was treated and convergence and rates of convergence for the corresponding recursive algorithms were provided.…”

Weighted and Constrained Consensus for Distributed Power Dispatch of Scalable Microgrids

“…Consensus control is an emerging field in networked control [13][14][15][16]. At present, most consensus controls are unconstrained.…”