We consider a multiagent network model consisting of nodes and edges as cities and their links to neighbors, respectively. Each network node has an agent and priced goods and the agent can buy or sell goods in the neighborhood. Though every node may not have an equal price, we show the prices will reach an equilibrium by iterating buy and sell operations. First, we present a protocol model in w...

Biological systems are known to be probabilistically self-stabilizing, i.e. with a high probability they can reach a stable state from any initial state. This property is very important to computer-based systems, too. However, building selfstabilizing systems is still very difficult. Proving that any given implementation is in fact self-stabilizing is even harder. Nature has a big advantage: An...

We present some results on stabilization for reduced-order models (ROMs) of partial differential equations. The stabilization is achieved using Lyapunov theory to design a new closure model that is robust to parametric uncertainties. The free parameters in the proposed ROM stabilization method are optimized using a model-free multi-parametric extremum seeking (MES) algorithm. The 3D Boussinesq ...