Localized Data-Driven Distributed Controller Design for Positive Stabilization

This letter proposes a localized data-driven distributed controller design method for positive stabilization of network systems. In particular, we consider a network system consisting of multiple unknown agents, each of which has a local controller to be designed. In addition, we assume that each agent has access to the local time-series data and communicates with neighboring agents. In this situation, we address the problem of finding a protocol in which each agent autonomously updates its local controller such that the entire network system is positive and stable. In this letter, we provide a solution to the problem based on the projected consensus algorithm.