2014/09/08 by Daniel Burbano, Burbano, Daniel, Mario di Bernardo +1 · 2 citations
Computer Science · Engineering · Mathematics · #93A14 (Secondary) #93A15 (Primary) #C.2.1 #Distributed Control Multi-Agent Systems #FOS: Mathematics #Frequency Control in Power Systems #I.2.8 #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Optimization and Control (math.OC) #acm:93A14 #acm:93A15 #math.OC #msc:93A14 #msc:93A15
paper · pdf · doi:10.48550/arxiv.1409.2324
10 pages, 7 Figures, Accepted for Publication in IEEE Transactions on Control of Network Systems
openalex publication_date 2014/09/08 · arxiv created 2014/10/21 · arxiv updated 2014/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the use of distributed PID actions to achieve consensus in networks of homogeneous and heterogeneous linear systems. Convergence of the strategy is proved for both cases using appropriate state transformations and Lyapunov functions. The effectiveness of the theoretical results is illustrated via its application to a representative power grid model recently presented in the literature.