activity
20112026
most citedCoherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback

373 citations · 540 across the 30 of their papers we have counts for

collaborators
Showing math.OCShow all

11 papers · 1 filter

math.OC2019★ 1 cited

Submodularity in Systems with Higher Order Consensus with Absolute Information

Erika Mackin, Stacy Patterson

We investigate the performance of m-th order consensus systems with stochastic external perturbations, where a subset of leader nodes incorporates absolute information into their c…

math.OC2018

Maximizing Diversity of Opinion in Social Networks

Erika Mackin, Stacy Patterson

We study the problem of maximizing opinion diversity in a social network that includes opinion leaders with binary opposing opinions. The members of the network who are not leaders…

math.OC2017

Submodular Optimization for Consensus Networks with Noise-Corrupted Leaders

Erika Mackin, Stacy Patterson

We consider the leader selection problem in a network with consensus dynamics where both leader and follower agents are subject to stochastic external disturbances. The performance…

math.OC2017★ 4 cited

Biharmonic Distance and the Performance of Second-Order Consensus Networks with Stochastic Disturbances

Yuhao Yi, Bingjia Yang, Zhongzhi Zhang +1

We study second order consensus dynamics with random additive disturbances. We investigate three different performance measures: the steady-state variance of pairwise differences b…

math.OC2017★ 1 cited

A Resistance Distance-Based Approach for Optimal Leader Selection in Noisy Consensus Networks

Stacy Patterson, Yuhao Yi, Zhongzhi Zhang

We study the performance of leader-follower noisy consensus networks, and in particular, the relationship between this performance and the locations of the leader nodes. Two types…

math.OC2017

Optimizing the Coherence of Composite Networks

Erika Mackin, Stacy Patterson

We consider how to connect a set of disjoint networks to optimize the performance of the resulting composite network. We quantify this performance by the coherence of the composite…