2014/03/20 by Jieqiang Wei, Arjan van der Schaft, Wei, Jieqiang +2 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Distributed Control Multi-Agent Systems #FOS: Mathematics #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation #Optimization and Control (math.OC) #math.OC
paper · pdf · doi:10.48550/arxiv.1403.5198
CDC2014
openalex publication_date 2014/03/20 · arxiv created 2014/11/12 · arxiv updated 2014/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
This paper studies a basic model of a dynamical distribution network, where the network topology is given by a directed graph with storage variables corresponding to the vertices and flow inputs corresponding to the edges. We aim at regulating the system to consensus, while the storage variables remain greater or equal than a given lower bound. The problem is solved by using a distributed PI controller structure with constraints which vary in time. It is shown how the constraints can be obtained by solving an optimization problem.