Quasi-Optimal Regulation of FlowNetworks with Input Constraints
  In this work we consider a flow network for which the goal is to solve a practical optimal regulation problem in the presence of input saturation. Based on Lyapunov arguments we propose distributed controllers which guarantee global convergence to an arbitrarily small neighborhood of the desired optimal steady state while fulfilling the constraints. As a case study we apply our distributed controller to a district heating network. 
Tjardo Scholten, Claudio De Persis, Pietro Tesi
math.OC cs.SY