2014/08/06 by Larisa Manita, Manita, Larisa · 1 citation
Computer Science · Mathematics · #49J30 #49K15 #FOS: Mathematics #Network Time Synchronization Technologies #Nonlinear Dynamics and Pattern Formation #Optimization and Control (math.OC) #Petri Nets in System Modeling #math.OC #msc:49J30 #msc:49K15
paper · pdf · doi:10.48550/arxiv.1408.1434
14 pages, 6 figures
arxiv created 2014/08/06 · openalex publication_date 2014/08/06 · arxiv updated 2014/08/08 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28
Energy-saving optimization is very important for various engineering problems related to modern distributed systems. We consider here a control problem for a wireless sensor network with a single time server node and a large number of client nodes. The problem is to minimize a functional which accumulates clock synchronization errors in the clients nodes and the energy consumption of the server over some time interval [0,T]. The control function u=u(t), 0≤ u(t)≤ u1, corresponds to the power of the server node transmitting synchronization signals to the clients. For all possible parameter values we find the structure of optimal trajectories. We show that for sufficiently large u1 the solutions contain singular arcs.